Answers
We have to work with left-hand side and make it same as right-hand side.
Let's do it:
\(\frac{\sin \theta}{1-\cos \theta}\)\(\frac{\sin\theta}{1-\cos\theta}\times\frac{1+\cos\theta}{1+\cos\theta}=\frac{\sin \theta(1+\cos \theta)}{(1-\cos \theta)(1+\cos \theta)_{}}\)Now, simplifying further:
\(\begin{gathered} \frac{\sin\theta(1+\cos\theta)}{(1-\cos\theta)(1+\cos\theta)_{}} \\ =\frac{\sin\theta+\sin\theta\cos\theta}{1-\cos^2\theta} \end{gathered}\)We know the identity:
\(\begin{gathered} \sin ^2\theta+\cos ^2\theta=1 \\ or \\ \sin ^2\theta=1-\cos ^2\theta \end{gathered}\)Substituting, we get:
\(\begin{gathered} \frac{\sin\theta+\sin\theta\cos\theta}{1-\cos^2\theta} \\ =\frac{\sin\theta+\sin\theta\cos\theta}{\sin^2\theta} \\ =\frac{\sin\theta}{\sin^2\theta}+\frac{\sin\theta\cos\theta}{\sin^2\theta} \\ =\frac{1}{\sin\theta}+\frac{\cos\theta}{\sin\theta} \end{gathered}\)We know:
\(\frac{1}{\sin\theta}=\csc \theta\)and
\(\begin{gathered} \frac{\sin\theta}{\cos\theta}=\tan \theta \\ \text{and} \\ \frac{\cos\theta}{\sin\theta}=\frac{1}{\tan\theta}=\cot \theta \end{gathered}\)Of couse, we can see that it is proved.
\(\begin{gathered} \frac{1}{\sin\theta}+\frac{\cos\theta}{\sin\theta} \\ =\csc \theta+\cot \theta \end{gathered}\)Related Questions
What is the equivalent ratio for 4
Answers
The equivalent ratios are 8: 6 and 12:9.
Equivalent ratios:Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.
Here we have 4:3
To find equivalent ratios, we can multiply both terms by the same number.
Multiplying by 2
=> 4 × 2 : 3 × 2
=> 8 : 6
Multiplying by 3
=> 4 × 3 : 3 × 3
=> 12: 9
Therefore,
The equivalent ratios are 8: 6 and 12:9.
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Complete Question
What is the equivalent ratio for 4: 3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
(1 point) The marketing department of a company estimates that the demand for a product is given by p=103−0.018x
dollars, where p
is the price per unit and x
is the number of units.
The cost of producing x
units is given by C=650+90x
dollars, and the profit for producing x
units is given by
P=R−C=xp−C.
Skech the graph of the profit function and estimate the number of units that would produce a maximum profit.
x
for maximum:
Answers
The maximum profit is achieved when the company produces 2861 units of the product.
How to determine the number of units that would produce a maximum profit.From the question, we have the following parameters that can be used in our computation:
P(x) = 103 - 0.018x
C(x) = 650 + 90x
The profit function is given as
p(x) = x * P(x) - C(x)
So, we have
p(x) = 103x - 0.018x² - 650 + 90
p(x) = 103x - 0.018x² - 560
See attachment for the graph
From the graph, we have
Maximum value of x = 2861
Hence, the maximum number of units is 2861
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Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=
Answers
Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19
Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2, 18).
Answers
By "slope" I assume you mean slope of the tangent line to the parabola.
For any given value of x, the slope of the tangent to the parabola is equal to the derivative of y :
\(y=ax^2+bx+c\implies y'=2ax+b\)
The slope at x = 1 is 5:
\(2a+b=5\)
The slope at x = -1 is -11:
\(-2a+b=-11\)
We can already solve for a and b :
\(\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3\)
\(2a-3=5\implies 2a=8\implies a=4\)
Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when x = 2:
\(4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8\)
So the parabola has equation
\(\boxed{y=4x^2-3x+8}\)
Using function concepts, it is found that the parabola is: \(y = 4x^2 - 3x + 14\)
----------------------------
The parabola is given by:
\(y = ax^2 + bx + c\)
----------------------------
Slope 5 at x = 1 means that \(y^{\prime}(1) = 5\), thus:
\(y^{\prime}(x) = 2ax + b\)
\(y^{\prime}(1) = 2a + b\)
\(2a + b = 5\)
----------------------------
Slope -11 at x = -1 means that \(y^{\prime}(-1) = -11\), thus:
\(-2a + b = -11\)
Adding the two equations:
\(2a - 2a + b + b = 5 - 11\)
\(2b = -6\)
\(b = -\frac{6}{2}\)
\(b = -3\)
And
\(2a - 3 = 5\)
\(2a = 8\)
\(a = \frac{8}{2}\)
\(a = 4\)
Thus, the parabola is:
\(y = 4x^2 - 3x + c\)
----------------------------
It passes through the point (2, 18), which meas that when \(x = 2, y = 18\), and we use it to find c.
\(y = 4x^2 - 3x + c\)
\(18 = 4(2)^2 - 3(4) + c\)
\(c + 4 = 18\)
\(c = 14\)
Thus:
\(y = 4x^2 - 3x + 14\)
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write a question in y=a x b^x whose graph passes through the Coordinate points (2,12) and (3,24)
Answers
The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).
To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.
First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2
Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3
We now have two equations with two unknowns (a and b), which we can solve using algebra.
From the first equation, we can solve for a:
a = 12 / b^2
We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3
Simplifying this equation, we get:
2 = b
We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3
Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x
We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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Select the correct answer from the drop-down menu.
A bank randomly surveyed 50 of its customers by mail to find out how customers use its mobile banking service. The survey found that only 11 of the 50 customers used the service.
Answers
Answer:
374
Step-by-step explanation:
11/50=0.22
number/1700=0.22
so 374/1700=0.22 hope that's a choice and helps.
round your answer to two decimal places. x + 1/x+3=3/5
Answers
Answer:
X=2
Step-by-step explanation:
Please mark answer as brainliest
If a ring costs a jeweler $2100, at what price should it be sold to yield a profit of 50% on the selling price?
Answers
2100/2 = 1050
Meaning 50% is $1050
by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4 shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense
Answers
The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.
Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:
A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.
A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.
Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.
A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.
The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.
A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.
A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.
A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.
A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.
A Br. 12.70 service charge was imposed by the bank for the month of July.
Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.
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Jones has 550 goats, which is 10%more than Jay . How many more goats does Jones have than Jay?
Answers
Answer:
55
Step-by-step explanation:
10% of 550 is 55
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
Answers
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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David and patti each decomposed 1 3/8. David wrote 1+ 1/8 + 3/8. Patti wrote 4/8 + 2/8 + 5/8. Who is correct? Explain your reasoning.
Answers
Answer
Option B is correct.
Only Patti is correct
(4/8) + (2/8) + (5/8) = (11/8) = 1⅜
David is wrong,
1 + (1/8) + (3/8) = (12/8)
Explanation
To answer this, we need to first express 1⅜ as a mixed fraction
1⅜ = (11/8)
So, we will add what each of these two guys have decomposed
For David,
1 + ⅛ + ⅜ = (8/8) + (1/8) + (3/8) = (8 + 1 + 3)/8 = (12/8)
(12/8) ≠ (11/8)
So, it is clear that David is not correct.
For Patti,
(4/8) + (2/8) + (5/8) = (4 + 2 + 5)/8 = (11/8)
So. we can see that Patti is correct.
Hope this Helps!!!
Write the expression (see image) in the form k sin (x+0) (see image)
Answers
The expression -√3 sin x + cos x in the desired form k sin(x+0), where k = -1.732 and 0 = π/2. Therefore, -√3 sin x + cos x = -1.732 sin(x+π/2)
How to explain the expressionWe can start by trying to write the expression in the form k sin(x+0), where k is some constant and 0 is an angle. To do this, we'll need to use some trigonometric identities.
First, note that -√3 is the same as -1.732, which is the negative square root of 3.
Next, we can use the identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b) to write:
-1.732 sin(x) + cos(x)
= -1.732 sin(x) + 1 sin(x + π/2)
= sin(x + π/2) (-1.732 cos(π/2) + 1 sin(π/2))
= sin(x + π/2) (-1.7320 + 11)
= sin(x + π/2) (-1.732)
So we have expressed the expression -√3 sin x + cos x in the desired form k sin(x+0), where k = -1.732 and 0 = π/2. Therefore, -√3 sin x + cos x = -1.732 sin(x+π/2)
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in the expression above a is a constant if the expression is equivalent to b where b is a constant what is the value of b?
Answers
Answer:
Without knowing the actual expression in question, it is impossible to determine the value of the constant "b". However, we can make a general statement based on the given information:
If an expression involving a constant "a" is equivalent to a constant "b", then "b" must be equal to the value of the expression when "a" is replaced by its value.
For example, if the expression is "3a + 2" and it is equivalent to the constant "7", then we can solve for "a" by subtracting 2 from both sides and then dividing by 3:
3a + 2 = 7
3a = 5
a = 5/3
So in this case, if "a" is replaced by 5/3 in the original expression, the result will be equivalent to the constant value of 7.
The formula for the volume, V. of a cone having the radius, r, and the height, h, is shown below.
V = 1/3pier²h
Write the formula to calculate the height, h.
Answers
Solving for a variable is an illustration of changing the subject of formula
The formula to calculate h is: \(h=\frac{3V}{\pi r^2}\)
The volume of a cone is:
\(V=\frac{1}{3}\pi r^2\)
Multiply both sides by 3
\(3*V=\frac{1}{3}\pi r^2h*3\)
\(3V=\pi r^2h\)
Divide both sides of the equation by \(\pi r^2\)
So, we have:
\(\frac{3V}{\pi r^2}=h\)
Rewrite as:
\(h=\frac{3V}{\pi r^2}\)
Hence, the formula to calculate h is:
\(h=\frac{3V}{\pi r^2}\)
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1. How many equal parts are there in this image?
Answers
Answer:
6 because their are 6 squares that are equal
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
Answers
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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he polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 Find a possible formula for P ( x ) .
f]
Answers
The possible formula for the polynomial in discuss whose roots are described as; having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is; P(x) = x^5 -5x⁴-6x³+18x².
What is the polynomial in discuss whose roots and leading coefficient are as discussed?The polynomial which is as described in the task content whose roots are as given can be written in its factorised form as follows;
P(x) = (x-3) (x-3) (x) (x) (x+1)
The expanded form is therefore;
P(x) = x^5 - 5x⁴- 6x³+ 18x².
Therefore, the polynomial having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is P(x) = x^5 - 5x⁴- 6x³+ 18x².
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Given m=-2 and b = 6, write the equation
in Slope intercept form
Answers
Answer:
M= -2 , В = 6/5
Step-by-step explanation:
Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
Answers
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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An inequality is two expressions that are
NOT equal, unlike an equation.
True
False
Answers
here is my algebra 13 homework screenshot, can somebody help me QUICKK PLS
Answers
Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).
y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3
A) h(x) = 5\((2)^{x}\)
when x = 0
Any number with zero power is always 1
h(x) = 5
B) h(x) = 5\((0.5)^{x}\) + 0.5
when x = 0
h(x) = 5 + 0.5
h(x) = 5.5
C) g(x) = 3\((\frac{1}{4}) ^{x}\)
when x = 0
g(x) = 3
Here we get y intercept as 3.
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how many points need to be removed from this graph so that it will be a function?
1 point
2 point
3 points
0 points
Answers
The number of points to be removed from the graph is 2
How many points to be removed from the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
2 points have the same y coordinates
Another 2 points have the same y coordinates
For it to be a function, one of the 2 points must be removed each
So, we have the number of points to be removed from the graph is 2
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Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
PLEASE HELP. I BEG. THIS IS DO IN A COUPLE OF HOURS.
1. Kristie ate lunch at Pholicious and wanted to leave a 15% tip. Her meal cost $15.75.
How much should she leave for tip? Round to the nearest cent. Explain how you got
your answer.
<
2. Lyla bought a pair of shoes that cost $80. The discount is 50% off and she has a
coupon for an additional 10% off the discounted price. What is the final price of the
shoes before tax? Explain how you got your answer.
3. Andy bought the Xbox One bundle on Black Friday for $350 and the NBA 2K18 for
$45.
PART A. If sales tax is 8% in orange county what is the sales tax that he will be round to the nearest sent
part to be
Part B what is the total price?
Explain how you got your answer.
Answers
Answer:
Step-by-step explanation:
Meal cost=$15.75
tip=15%
= (15*15.75) /100
=236.25/100
=2.235$=2.24 will give as tip
Cost of shoes=80$
Discount=50%
coupon discount=10%
Total discount=50%+10%=60%
Final price of shoes=?
( 60*80)/100
4800/100
48
60% of 80 is 48 .
pricec that lyia paid=total price-dicount
=80-48
=32$
Xbox=$350
NBA=$45
total=395$
sales tax=8%
(8*395)/100
3160/100
31.6=31.60$
For total price=31.60+395=426.6$
Answer:
1.) $2.36
2.) $36
3.) a) $31.60
3.) b) $426.60
Step-by-step explanation:
1.) To begin we need to convert 15% to a decimal. To do this we can move the decimal point 2 spaces to the left. This gives us 15% -> 0.15
Then we multiply this number (0.15) by the total mean cost.
15.75 · 0.15 = 2.36
This means that a 15% tip on a $15.75 meal would add $2.36 to the total cost.
2.) To begin we need to find what 50% of 80 is. This is simple because 50% is half of the original price. We can also move the decimal place over 2 numbers to the left to get 0.50 and multiply this by the original price.
80 · 0.50 = 40 OR... 80 ÷ 2 = 40
Now the problems says that Lyla has an extra 10% off from that discounted price that we just figured out (40). We move the decimal place 2 numbers to the left again and multiply by 40.
40 · 0.10 = 4
Finally we subtract our 10% discount (which is $4) from our new original price ($40).
40-4 = 36
3.) a.) 350 + 45 = $395 ( this is the price of both items before tax).
To find the extra cost of the 8% tax we move the decimal over to the left 2 places. 8% -> 0.08
We can then multiply of cost and tax.
395 · 0.08 = 31.60 (this means that there is a $31.60 tax on this purchase).
3.) b.) For the total price we add the tax we just found and the original cost of the 2 items.
$31.60 + $395 = $426.60
Please answer the question
Answers
Answer:
4.
a.octagon
b.squertagon
c.triangle
t.b
find the product of
2a(a+b)
3xy(2x-3y)
Answers
Answer:
2a² + 2ab , 6x²y - 9xy²
Step-by-step explanation:
using the distributive property
a(b + c) = ab + ac
given
2a(a + b) ← multiply each term in the parenthesis by 2a
= 2a² + 2ab
given
3xy(2x - 3y) ← multiply each term in the parenthesis by 3xy
= 6x²y - 9xy²
Answer:
6x2-9x2
Step-by-step explanation:
because I don't know the explanation
what do 17, 19, 46 and 55 have in common?
Answers
Answer:
They are all prime numbers
Explanation:
17, 19, 46, and 55 are all prime numbers. A prime number is a whole number greater than 1 that is only divisible by 1 and itself. Since 17, 19, 46, and 55 are all prime numbers, they have no other factors besides 1 and themselves, which means they cannot be divided evenly by any other number.