All categories

3 years ago

What is the equation of the line passing through the point (4, 5) that is parallel to the line with the equation

Mathematics

1 answer:

Reptile [31]3 years ago

7 0

Answer:

y=2x-3

Step-by-step explanation:

1. find the slope

6x-3y=21

-3y=-6x+21 divide both sides by -3

y=2x-7

slope is 2

2.y-5=2(x-4)

y-5=2x-8

y=2x-8+5

y=2x-3

PARALLEL lines have the same slope

You might be interested in

Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. What is the percentage change in

sergejj [24]

Answer:

50% decrease

Step-by-step explanation:

I took the test

4 0

3 years ago

Read 2 more answers

Write an equation of a line that contains the point (-2,3) with a slope of 0.

Aleksandr [31]

Answer:

y =3

Step-by-step explanation:

Slope of zero means it is a horizontal line

Horizontal lines are of the form

y =

The y coordinate is 3 so

y =3

4 0

3 years ago

13 cars are parked in a parking lot. each car has four tires. if seven of the tires are damaged then him many tires are in the p

malfutka [58]

Answer:

Step-by-step explanation:

13 x 4 = 52

13 represents # of cars

4 represents tires per car

52 represents total tires

52 tires - 7 damaged tires = 45 undamaged tires

4 0

2 years ago

Read 2 more answers

Both circle A and circle B have a central angle measuring 50°. The area of circle A's sector is 36π cm2, and the area of circle

slega [8]

Answer:

A) 3/4

Step-by-step explanation:

Given: Both circle A and circle B have a central angle measuring 50°.

The area of circle A's sector is 36π cm2.

The area of circle B's sector is 64π cm2.

We know, area of the circle= $\pi r^{2}$

lets assume the radius of circle A be " $r_1$ " and radius of circle B be " $r_2$ "

As given, Area of circle A and B´s sector is 36π and 64π repectively.

Now, writing ratio of area of circle A and B, to find the ratio of radius.

⇒ $\frac{\pi r_1^{2} }{\pi r_2^{2} } = \frac{36\pi }{64\pi }$

Cancelling out the common factor

⇒ $\frac{r_1^{2} }{r_2^{2} } = \frac{36 }{64}$

⇒ $(\frac{r_1 }{r_2} )^{2} = \frac{36 }{64}$

Taking square on both side.

Remember; √a²= a

⇒ $(\frac{r_1 }{r_2} ) =\sqrt{ \frac{36 }{64}}$

⇒ $(\frac{r_1 }{r_2} ) = \frac{6}{8}$

⇒ $\frac{r_1 }{r_2} = \frac{3}{4}$

Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.

5 0

3 years ago

X + 2y = 33<br> x-y = 11

Tasya [4]

Answer:

$x=\frac{55}{3},\:y=\frac{22}{3}$

Step-by-step explanation:

Solve by Substitution ;

$\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+2y=33:\quad x=33-2y\\\\\mathrm{Subsititute\:}x=33-2y\\\\\begin{bmatrix}33-2y-y=11\end{bmatrix}\\\\Simplify\\\begin{bmatrix}33-3y=11\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:33-3y=11:\quad y=\frac{22}{3}\\\mathrm{For\:}x=33-2y\\\\\mathrm{Subsititute\:}y=\frac{22}{3}\\x=33-2\times\frac{22}{3}\\\\x=\frac{55}{3}\\\\x=\frac{55}{3},\:y=\frac{22}{3}$

7 0

3 years ago