Answer:
x=6,3 and y=9,3
Step-by-step explanation:
then used formula of distance
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows. Step 1: m = StartFraction 13 minus 25 Over negative 4 minus (negative 7) EndFraction = StartFraction negative 12 Over 3 EndFraction = negative 4. Step 2: y = negative 4 x + b. 25 = negative 4 (negative 7) + b. 25 = 28 + b. 25 minus 28 = 28 + b minus 28. b = negative 3. Step 3: y = negative 3 x minus 4 What was Brooke’s error?
Answer: She mixed up the slope and y-intercept when she wrote the equation in step 3.
Step-by- explanation:
Hope this helps :)
Brooke did a mistake in step 3 Brooke's error was he interchanged the slope and y-intercept.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\\)
We have:
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13).
\(\rm m =\dfrac{13-25}{-4+7}\\\)
m = -12/3
m = -4
y = -4x + b
Plug x = -7, y = 25
25 = -4(-7) + b
b = 25 - 28
b = -3
y = -4x - 3
Thus, Brooke did a mistake in step 3 Brooke's error was he interchanged the slope and y-intercept.
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twenty-four minus the product of three and two
Answer:
18
Step-by-step explanation:
24 - (3 * 2)
If sum of two number is 36 and their difference is 10 find two number
Answer:
x+y = 36
x-y = 10
Add these two equations to get
2x = 46
x = 23
Sub x=23 into either equation, I like the first.
23 + y = 36
y = 13
23,13 are the pair.
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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To rent a certain vehicle, Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile. For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels?
Given :
Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile.
To Find :
For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels.
Solution :
Let, after x miles Rent-A-Ride charges is less than the cost at We Got Wheels.
Price at Got Wheels > Price at Rent-A-Ride
38 + 0.20x > 50
0.20x > 12
x > 60
Therefore, after 60 days cost at Rent-A-Ride less than the cost at We Got Wheels.
Hence, this is the required solution.
Jessica has $70,000 in the bank and is earning 5% compounded monthly. She plans to purchase a used car, for which the down payment is $500 and the monthly payments are $280?
Will her monthly interest cover the cost of the down payment? Explain?
Answer:
Yes
Step-by-step explanation:
5% of 70,000 is 3,500 (70,000 x 0.05 = 3,500)
That means she is earning at least $3,500 a month from interest.
$3,500 is plenty to cover the monthly payment of $280.
You know what, I think Jessica should get a brand new car instead.
Yes, her monthly interest will cover the cost of the down payment and Jessica should get a brand-new car instead.
How to find the compound interest?If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
\(a = p(1 + \dfrac{r}{n})^{nt}\)
We have given that Jessica has $70,000 in the bank and is earning 5% compounded monthly.
And the down payment is $500 and the monthly payments are $280
5% of 70,000 = 3,500
70,000 x 0.05 = 3,500
That means that she is earning at least $3,500 per month from interest.
$3,500 is plenty of amounts to cover the monthly payment of $280.
Therefore, Yes her monthly interest will cover the cost of the down payment and Jessica should get a brand-new car instead.
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The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?
Answer: The answer is 8
Step-by-step explanation:
It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1
2
+
4 1
2
=
17
Calculation steps:
12 1
2
+
4 1
2
= (12 + 4) + (
1
2
+
1
2
)
= 16 +
1 + 1
2
= 16 +
2
2
= 16 +
2 ÷ 2
2 ÷ 2
= 16 +
1
1
= 8 hope this helps
Answer:
Answer is 8
Step-by-step explanation:
I know because I got the answer right!
The Stock Market Nadia is a stockbroker. earns 13% commission each week. Last week, sold 5,300$ worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answer:
$5,300*0.13 = $689*52 = $35,828
Step-by-step explanation:
PLZ HELP ASAP!!! Find the length of side a
Answer:
156
Step-by-step explanation:
you need to multiply
Answer:
a=6
Step-by-step explanation:
elida scored an average of 10 points in each of the 5 rounds of a game. if her highest score was 18 and the range of her scores was 12, what was her lowest score?
Elida's lowest score is 6.
What is a range?
The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.
Here, we have
Large value = 18, range = 12
To find the lowest score, we apply the formula
Range = Large value - Small value
L = 18, R = 12
12 = 18 - Small value
Small value = 18-12
Small value = 6
Hence, Elida's lowest score is 6.
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The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.
The absolute value function that could represent this situation is:
\(|D - 42.67| = 0.002\)
The absolute value function is defined by:
\(|x| = x, x \geq 0\)
\(|x| = -x, x < 0\)
It measures the distance of a point x to the origin.The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:
\(|D - 42.67| = 0.002\)
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What are the coordinates of the point on the directed line segment from K (-5, -4) to L (5,1) that partitions the segment into a ratio of 3 to 2.
Answer:
i think its d
Step-by-step explanation:
PLS help will give brainly points thank you
Answer:
I think the answer will be 20. It is oppsite sides and the lines look even. The area is small as well. So I think 20˙ will be the best option.
a). 20°
Explanation :The angle x is equal to 20° because vertical angle.
what kinds of images are based on mathematical instructions that define lines, curves, text, ovals, and other geometric shapes?
The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics
The vector graphics is defined as the computer graphics that the visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes
The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression
Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes
Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics
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ames recorded the distance he ran each day:
Monday - 2.05 miles
Tuesday - 1.8 miles
Wednesday - 1.45 miles
Thursday - 0.923 miles
Friday - 2.55 miles
What is the difference between his longest distance and shortest distance?
Answer:
1.627 miles
Step-by-step explanation:
longest distance - 2.55 miles
shortest distance - 0.923 miles
difference = 2.55-0.923
=1.627 miles
a girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec(the height stays constant). how fast she let out the string when 500 ft of string has been let out?
The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.
Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:
v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2
wherein dd and hh are capabilities of time tt, this means that that:
2hdfrac = 2ddfrac2h dtdh =2d dtdd
Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:
300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred
We're inquisitive about the price of extrade of the real distance dd so we have:
begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec
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Find the Product of (2a+5)(2a-5)
Answer:
4 ^2 −20 +2 5
Step-by-step explanation:
I did the math
• CLASSES
• ZOOM
• PHMS
E SITES
• RANDOM
Part 1 of 2
Point A has coordinates (-1,2). The x-coordinate of point B is 2. The distance between point A and point B is 5 units. Your friend says the coordinates of point B
could be (3,5). What are the possible coordinates of point B? What mistake did your friend make?
The possible y-coordinate are 6 and -2. Therefore, the possible coordinates of point B are (2, 6) and (2, -2).
The mistake your friend made was assuming that the distance between two points is only dependent on the y-coordinate. This is not true, as the distance between two points is determined by both the x-coordinate and y-coordinate.
Therefore, there are multiple possible coordinates for point B that could have a distance of 5 units from point A.
To find the possible coordinates of point B, we need to use the distance formula:
Distance = √((x2 - x1)² + (y2 - y1)²)
Given that point A has coordinates (-1, 2) and the x-coordinate of point B is 2, we have:
5 = √((2 - (-1))² + (y - 2)²)
Solving for y:
25 = (3)² + (y - 2)²
25 = 9 + (y - 2)²
16 = (y - 2)²
Now, taking the square root of both sides:
±4 = y - 2
So, the possible y-coordinates are 6 and -2. Therefore, the possible coordinates of point B are (2, 6) and (2, -2).
Your friend made a mistake by saying the coordinates of point B could be (3, 5). This is incorrect because the x-coordinate of point B should be 2, not 3. Additionally, the y-coordinate of point B should be either 6 or -2, not 5.
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HELP ME PLEASE I NEED IT NOW
helppppppp! please:(
Answer:
A or 9
Step-by-step explanation:
Consider the number inside the "f(-4)" to make x=-4. This means using the table you can know that f(x) = 9.
What is the angle formed by the line y=2x−1 and x-axis?
Answer:
63.4°
Step-by-step explanation:
y = 2x - 1
dy/dx = 2
∴ The angle is arc tan(2) = tan^-1(2) = 63.4°
show the sine, cosine, and tan of the given triangle
We have that the sides of a right triangle receive different names depending on the angle we are going to analyze.
The opposite side of the right triangle is the hypotenuse:
And depending on the angle we are going to analyze, one side is that opposite to it and the other side is the adjacent:
Finding the missing sideWe know by the Pythagorean Theorem that:
opposite² + adjacent² = hypotenuse²
In this case
hypotenuse = 20
adjacent = 16
opposite BC
Then
opposite² + adjacent² = hypotenuse²
↓
BC² + 16² = 20²
↓
BC² = 20² - 16²
BC² = 144 = 12²
↓
BC = 12
SineWe have that the Sine formula is:
\(\sin (\text{angle)}=\frac{\text{opposite}}{\text{hypotenuse}}\)In this case:
angle = A
opposite side = 12
hypotenuse = 20
Then,
\(\begin{gathered} \sin (\text{angle)}=\frac{\text{opposite}}{\text{hypotenuse}} \\ \downarrow \\ \sin A=\frac{\text{1}2}{\text{2}0} \end{gathered}\)If we simplify it, we have:
\(\sin A=\frac{\text{1}2}{\text{2}0}=\frac{3}{5}=0.6\)CosineWe have that the Cosine Formula is:
\(\cos (\text{angle)}=\frac{\text{adjacent}}{\text{hypotenuse}}\)In this case:
angle = A
adjacent side = 16
hypotenuse = 20
Then
\(\begin{gathered} \cos (\text{angle)}=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \downarrow \\ \cos A=\frac{16}{20} \end{gathered}\)If we simplify it, we have:
\(\cos A=\frac{\text{1}6}{\text{2}0}=\frac{4}{5}=0.8\)TangentWe have that the Tangent Formula is:
\(\tan (\text{angle)}=\frac{\text{opposite}}{\text{adjacent}}\)In this case:
angle = A
opposite side = 12
adjacent side = 16
\(\begin{gathered} \tan (\text{angle)}=\frac{\text{opposite}}{\text{adjacent}} \\ \downarrow \\ \tan A=\frac{12}{16} \end{gathered}\)If we simplify it, we have:
\(\tan A=\frac{3}{4}=0.75\)AnswerssinA = 0.6
cosA = 0.8
tanA = 0.75
In Kayllie'srecipe for lemonade, the ratio of lemons to water is 7 to 4. People are complaining that the lemonade is too weak. Which ratioswould make the lemonade stronger?
Answer:
C
Step-by-step explanation:
Here are the options to this question :
A) 5 to 3
B) 7 to 5
C) 8 to 4
D) 8 to 5
The proportion of lemons in the lemonade is 7 while the proportion of water in the lemonade is 4.
In order to make the lemonade stronger, the proportion of lemon in the mixture should be increased or the proportion of water in the mixture should be reduced.
Looking at the options, option C is correct. The proportion of lemon is increased
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−1, 0), V′(−3, 0), W′(3, −3)
To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:
A 180° counterclockwise rotation of a point (x, y) about the origin produces the point (-x, -y).To perform a rotation of a polygon, we apply the transformation rule to each vertex of the polygon.Using these rules, we can find the vertices of image U′V′W′ as follows:
Vertex U(-2, 0) is transformed to U′(0, -2), since (-(-2), -(0)) = (2, 0) becomes (0, -2) after the rotation.Vertex V(-3, 1) is transformed to V′(1, -3), since (-(-3), -(1)) = (3, -1) becomes (1, -3) after the rotation.Vertex W(-3, 3) is transformed to W′(3, -3), since (-(-3), -(3)) = (3, 3) becomes (3, -3) after the rotation.Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).
So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).
Rationalise the denominator of a+√4b/a-√4b where a is an integer and b is a prime number.
Simplify your answer
A2 + 4a√b + 4b
____________
A2-4b
By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\) we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)
A radical or imaginary number can be removed from the denominator of an algebraic fraction by a procedure known as o learn more about . That is, eliminate the radicals from a fraction to leave only a rational integer in the denominator.
To rationalise multiply numerator and denominator with \(a+\sqrt{4b}\) where a is an integer and b is a prime number.
we get \(\frac{a+\sqrt{4b}}{a-\sqrt{4b}} * \frac{a+\sqrt{4b}}{a+\sqrt{4b}}\)
\(= \frac{(a+\sqrt{4b})^{2} }{a^{2} -(\sqrt{4b})^{2} }\)
by solving we get \(=\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)
By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\) we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)
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Which method for solving a system of equations starts by solving one equation for one variable?
Select one:
A. Substitution Method
B. Elimination Method
Answer: A: substitution method
Step-by-step explanation:
The substitution method is one way of solving systems of equations. To use the substitution method, use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation.
a _______________ is a graph showing the differences in frequencies or percentages among categories of a nominal or an ordinal variable.
A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.
A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.
In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.
The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.
By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.
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Triangle SAM is congruent to Triangle REN. Find x and y.
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8 slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?
Answer:
0.339
Step-by-step explanation:
Given that :
Total number of songs = 12
Number of songs to choose = 8
Total number of draws = 8
Selecting 2 of the 4 songs with syprano solos : 4C2
The 6 remaining songs from. The rest:
12-4C8-2 = 8C6
Total possible selections = 12C8
Hence,
probability that the set s/he chooses contains two of the four songs that have soprano solos will be :
(4C2 * 8C6) / 12C8
(6 * 28) / 495
168 / 495
= 0.339
Select the statement that shows equivalent measurements.
5.2 meters = 0.52 centimeters
5.2 meters = 52 decameters
52 meters = 520 decimeters
5.2 meters = 5,200 kilometers
The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.
To determine the equivalent measurements, we need to understand the relationship between different metric units.
In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).
Let's analyze each statement:
5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.
5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.
52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.
5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.
Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.
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Note the correct and the complete question is
Select the statement that shows equivalent measurements.
A.) 5.2 meters = 0.52 centimeters
B.) 5.2 meters = 52 decameters
C.) 52 meters = 520 decimeters
D.) 5.2 meters = 5,200 kilometers