What is the equation of the line in slope-intercept form? y=_x+_

Mathematics

1 answer:

tangare [24]3 years ago

4 0

Answer:

$y=\frac{4}{3}x+4$

Step-by-step explanation:

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PLLLLLLZZZZ HELP!! MULTIPLE CHOICE!!

liubo4ka [24]

First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.

2x+7=3x-7
x=14

Then, since 2x+7 and 12y+1 equals 180, put it together to find y:

(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
y=12

So, x=14 and y=12. Your answer should be C!

5 0

3 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

asambeis [7]

Answer:

(x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

$\sf \: x^2+y^2=16x$

The equation of a circle with center (h,k) and radius r units is

$\sf(x-h)^2+(y-k)^2=r^2(x−h)$

$\sf(x-7)^2+(y-5)^2=4^2(x−7)$

$\sf(x-7)^2+(y-5)^2=16(x−7)$

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0

2 years ago

Please help me answer this question.

Alex787 [66]

1. Change x = 4t into x = 3t

$4t\cdot\frac{3}{4}=3t$ so

$y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1$

Answer A and D are wrong.

2. Change x = 4t into x = 2t

$4t\cdot\frac{1}{2}=2t$ and

$y=(\frac{1}{2}t)^2-1=\frac{t^2}{4}-1$

Answer b is correct.

3. Change x = 4t into x = 8t

$4t\cdot2=8t$ and

$y=(2t)^2-1=4t^2-1$

Answer C. is correct, E. is wrong.

7 0

3 years ago

Which is the best interpretation of the solution set for the compound inequality?

saw5 [17]

For this case we must find the solution set of the given inequalities:

Inequality 1:

$3 (2x + 1)> 21$