find the equation of the line passing through the point (4,-2) and parallel to the line 6y=7x-5
Answers
Answer: 6y = 7x - 40
Step-by-step explanation:
Related Questions
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answers
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
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translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answers
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
2-3(x+4)= 8
What’s the answer ?
Answers
Steps
distribute
2-3(x+4)=8
2-3x-12=8
Subtract the numbers
2-3x-12=8
-10-3x=8
Rearrange terms
-10-3x=8
-3x-10=8
Add ten to both sides
-3x-10=8
-3x-10+10=8+10
Simplify
(add the numbers)
-3x=18
Divide both sides by the same factor
-3x=10
(Write this part in a fraction)
-3x/-3 = 18/-3
Last step simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
X=18/-3 (18 over -3 write it as a fraction)
So that leaves your answer to
X=-6
Find the area of rhombus JKLM given the coordinates of the vertices. Round to the nearest tenth if necessary.
J(-2, -4), K(2, 2), L(6, -4), M(2, -10)
Answers
Answer:
The area of rhombus JKLM is 48 units²=====================================
Given Rhombus JKLM,Vertices at J(-2, -4), K(2, 2), L(6, -4), M(2, -10).To find The area of rhombus JKLMSolutionWe know that diagonals of rhombus are perpendicular to each other.
Hence its area is half the product of diagonals.
The diagonals are JL and KM and one of them is vertical and the other one horizontal since x- or y-coordinates are equal in pairs.
Let's find the length of diagonals, using the difference of coordinates:
JL = 6 - (-2) = 8 units,KM = 2 - (-10) = 12 units.Now find the area:
A = JL*KM /2 = 8*12 / 2 = 48 units²
Please help me with 3&4
Answers
Answer:
6(4c-3), 9w-1
Step-by-step explanation:
GCF is the biggest thing you can divide both 24c and 18 by.
you can see that you can divide both 24c and 18 by 6, and when you do that you get 4c and 3. That means that the answer for that question is
6(4c-3) (which is A)
The next question all you need to do first is distribute the 3/4 to the 12w and 8.
3/4 * 12w = 9w
3/4 * 8 = 6
so you get
9w -6 + 5
you combine like terms to get
9w - 1 (B)
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?Chart is to help awnser qeustion
Answers
Kerri takes out a mortgage for $55,000 at 9% for 25 years.
Therefore, from the data given on the monthly payments for mortgages, her monthly payment is
\(\text{ \$461.56}\)The total payment will be
\(Total\text{ payment=Monthly payment }\times12\times Number\text{ of years}\)Therefore,
\(Total\text{ payment=461.56}\times12\times25=\text{ \$138468}\)Hence, the total amount paid is
\(\text{ \$138,468}\)The cost of the mortgage will be;
\(Cost\text{ of mortgage=Total amount - Principal amount}\)Therefore,
\(Cost\text{ of mortgage=\$138,468-\$55,000=\$83468}\)Hence, the cost of the mortgage is
\(\text{ \$}83,468\)Final answers
Monthly payment
\(\operatorname{\$}\text{461.56}\)The total amount paid
\(\operatorname{\$}\text{138,468}\)The cost of the mortgage
\(\operatorname{\$}83,468\)Find the perimeter of the following shape,
given its curves are made from parts of
circles.
Give your answer in terms of TT.
6cm
30cm
14cm
The diagram is not drawn to scale.
Answers
The perimeter of the given shape in terms of pi is 22 cm + 25 pi cm.
How do you figure out perimeter?The circumference of the rectangle is equal to the sum of the lengths of its four sides. It is simple to do this because there are two of each side length; all that is needed is to sum the length and width and multiply the result by two.
By multiplying half of the semicircle's circumference by the diameter's length, one can determine the semicircle's perimeter. Thus, the semicircle's perimeter is as follows:
Perimeter of semicircle = 6 cm + (1/2) x pi x 6 cm
Perimeter of semicircle = 6 cm + 3 pi cm
Each quarter circle has a perimeter that is just one-fourth of its circumference. Consequently, the 14 cm quarter circle's perimeter is as follows:
Perimeter of quarter circle with radius 14 cm = (1/4) x 2 pi x 14 cm
Perimeter of quarter circle with radius 14 cm = 7 pi cm
And, the perimeter of the quarter circle with radius 30 cm is:
Perimeter of quarter circle with radius 30 cm = (1/4) x 2pi x 30 cm
Perimeter of quarter circle with radius 30 cm = 15 pi cm
Therefore, the total perimeter of the given shape is:
Perimeter = Perimeter of semicircle + Perimeter of quarter circle with radius 14 cm + Perimeter of quarter circle with radius 30 cm
Perimeter = (6 cm + 3 pi cm) + (7 pi cm) + (15 pi cm)
Perimeter = 22 cm + 25 pi cm.
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Kyles is required to sell 40 pizzas for a fundraiser he sold 1/4 of them to relatives and then his neighbor bought 1/2 of the remaining pizzas how many pizzas did the neighbor buy
Answers
Kyles is required to sell 40 pizzas for a fundraiser he sold 1/4 of them to relatives and then his neighbor bought 1/2 of the remaining pizzas how many pizzas did the neighbor buy
Step 1
total of pizzas= 40 pizzas
she sold 1/4 of then
so, we need to know how many pizzas are 1/4 of 40, to do this just multiply 1/4 By 40
\(\begin{gathered} \text{total of pizzas=40 } \\ \frac{1}{4}\text{ of the total pizzas = }\frac{1}{4}\cdot40\text{ pizzas} \\ \frac{1}{4}\text{ of the total pizzas =10 pizzas,} \\ so,\text{ first she sold 10 pizzas} \end{gathered}\)then, his neighbor brought 1/2 of the remaining pizzas,
the remaining pizzas = total pizzas - the pizzas she sold first
the remaining pizzas=40-10
the remaining pizzas=30 pizzas
so, his neighbor brought 1/2 of 30, to know this values jus multiply 1/2 by 30
\(undefined\)For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6!= 6.5.4.3. 2. 1.) What value of N satisfies the following equation? 5!.9!= 12. N! (A)10 (B)11 (C)12 (D)13 (E)14
Answers
The value of N that satisfies the following equation, 5!9!= 12N!, is 10.
Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.
Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.
Given the equation 5!9!= 12N!, expand the factorial notation.
(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!
N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
N = 10
Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.
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A cartographer creates a map of Bucks County with a scale factor of 1 inch = 10 miles. The distance between Quakertown and Sellerville is 2.92 inches on the map. Determine the actual distance between the two boroughs.
Answers
PLEASE HELP
600 miles in 8 hours
_?_miles per hour
Answers
Answer:
its easy
Step-by-step explanation:
ya just do 600/8 = b
b= 75 miles per hout
Answer:
The answer is 75 miles per hour
Step-by-step explanation:
600 miles ÷ 8 hours = 75 miles
I need expert answers for this
Answers
The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.
How to prove Trigonometric Identities?We want to verify the trigonometric identity;
cos (α - β)/(cos α sin β) = cot β + tan α
Now, according to trigonometric identities in mathematics, we know that;
cos (α - β) = (cos α cos β) + (sin α sin β)
Thus, plugging that back into our left hand side of the main question gives;
[(cos α cos β) + (sin α sin β)]/(cos α sin β)
Rewriting this expression by separating the denominator gives;
[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)
Using quotient identities, this can be simplified to;
cot β + tan α
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2(q + 4) = 10
Solve for q
Answers
Answer:
q=1
Step-by-step explanation:
2(q+4)=10
q+4=5
q=1
:]
Answer:
3
Step-by-step explanation:
2 x 3 6 4 10
In your own words, how important is your knowledge of solving real-life problems involving
inverse functions?
Answers
or
It teaches us that we could always look or approach a problem at a different angle or in a reverse way and still it will have the desired outcome. Additionally, it makes us ponder and think for the what if's especially if we're weighing down heavy options.
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answers
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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PLEASE HELP I WILL MARK YOU BRAINLEST!!!
please read the question on the photo and these are the choices bellow!!
A-translation, reflection
B- rotation, reflection
C-reflection, rotation
D-rotation, translation
Answers
Jose has a coin collection. He keeps 9 of the coins , which is only 5% of his entire collection in a box. what is the total of coins in Jose’s coin collection?
I really need help with this question!
A. 14
B. 18
C. 160
D. 180
Answers
Answer:
Jose's total collection is: 180
Hence, option D is correct.
Step-by-step explanation:
Let x be Jose's total collection.
Given that Jose keeps 9 of the coins, which is only 5% of his entire collection in a box.
It means,
5% of x = 9
5/100 × x = 9
0.05 × x = 9
divide both sides by 0.05
0.05x/0.05 = 9/0.05
x = 180
Therefore, Jose's total collection is: 180
Hence, option D is correct.
A rectangular paperboard measuring 20in long and 12in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.)
Answers
A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.
The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.
The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.
The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.
The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:
P = 20 + 12 + 12 = 44 inches
However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:
C = πr
where C is the circumference of the semicircle and r is the radius.
Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:
C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)
Therefore, the perimeter of the remaining part is:
P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)
So, the perimeter of the remaining paperboard is 34.58 inches.
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it has a slope of -7 and passestrough the point (-3,16)
Answers
Answer:
y = -7x - 5
Step-by-step explanation:
y-intercept= 16 - (-7) (-3) = - 5
f g is an integer, which of the following could not equal g 2 ?
Answers
Answer:
Step-by-step explanation:
Tricky i give that to the question that so i think f 4 maybe it doesn't show the options
hello, i need help c:
Answers
Answer: there were 50 guests
Step-by-step explanation:
PLEASE HELPP I WILL GIVE 25 POINTS, BRAINLIEST TO THE BEST ANSWER, THANKS AND MORE.
How do you think philosophy and math are used to study our universe?
Answers
Answer:
It's used to gain a better understanding of how we humans work and how we could work in the future.
Select TWO expressions that contain a coefficient of 4.
a. 6y+4−5×8
b.4+2w÷6+2
c.4r+9
d.2+4z
Answers
Answer:
Step-by-step explanation:
D
Solve for x
xxxxxxxxxxxx
Answers
Answer:
I might be wrong but I think x = 21
Step-by-step explanation:
The shape looks to be 42x42. The question turns into (2 × __ = 42)
if I am interpreting this correctly, it is 21
okay I think im wrong
Step-by-step explanation:
42+2x=90
2x=90-42
2x=48
x=48/2
x=24
1. Match the polygons with their appropriate clouds. A polygon can match to more than 1 cloud
Answers
all sides are not equal: rectangle
at least 1 right angle: square
at least one set of parallel sides: rectangle
Pls help
Cole is building a model rocket in science class. He selects the rocket parts from a set of solid cylinders and cones made from metal. Cole wants to build a rocket with the dimensions shown. For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. Will Cole's rocket meet the requirement for launch?
Part A
What will be the total length of the assembled rocket? Explain how you found your answer.
Part B
What is the approximate volume of the rocket.
Use 3.14 for r. Explain.
Part C
If Cole's rocket parts are made of aluminum weighing 0.006 pound per cubic centimeter, will Cole be able to launch his rocket? Explain.
Answers
For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.
How to solveThe volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = \(\pi* r^2 *h\)
Part A
The total length of the assembled rocket will be the length of the cone and the cylinder.
The total length of the assembled rocket = 25 + 3 = 28cm
Part B
The volume of the rocket is the combined volume of the cone and cylinder.
= 4/3 × 3.14 × 16 × 28
= 1875.62 cubic cm
To convert cm into pounds
1875.62 cubic cm = 4.135 pound
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pounds per cubic centimeter.
Then 1875.62 cubic cm × 0.006
= 11.253
For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.
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On a map, 1 inch equals 20 miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answers
Answer: 60 miles
Step-by-step explanation:
1 in. times 3 = 3 in
20 mi times 3 = 60 mi.
The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution. y = 0 y = 2 y = 3 z = 0 z = 2 z = 3
Answers
The required solution of the equations is given as (2, 3, 0).
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
So we are given a system,
3x -2y + 3z = 0
-3x-5y-5z = -21
Substitute x =2, and we get the system,
-2y + 3z = -6
-5y -5z = -15
Multiply equation 1 by -5 and equation 2 by 2 we get the system,
10y - 15z = 30
-10y -10z = -30
Adding the above equations,
z = 0
Now,
-2y = -6
y = 3
Thus, the required solution of the equations is given as (2, 3, 0).
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What is the sum of the first 4 terms of an arithmetic sequence in which the 7th term
is 19 and the 11th term is 29?
Hint: create a system of equations to find d.
A 09
B 31
C 48
D 11.5
E 45
Answers
Answer:
it's 48 I think that's the answer for the question.
A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.
Which rule describes the x-coordinates in the translation?
x + 0
x + 6
x – 6
x + 4
Answers
Answer:
(b) x + 6
Step-by-step explanation:
You want the rule for the x-coordinate when the transformation is a right shift of 6 units.
Right shiftA point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.
The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:
x ⇒ x+6 . . . . . . the x-coordinate transformation rule
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