All categories

3 years ago

4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

You might be interested in

Which function has an axis of symmetry of x = −2?

djyliett [7]

Any function that has a -b value divided by 2a that equals -2

use ax²+bx+c to figure it out

the axis of symmetry formula is -b/2a=x

4 0

3 years ago

Read 2 more answers

What would you get if you divided a half of a half of a half by a half of a fourth of a half?

BartSMP [9]

I think the question is 1/6 ÷ 1/6, which im pretty sure would be 1/3

4 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Elenna [48]

Answer:

$cos(V)=\frac{39}{89}=.44$

∠ $V=64.01$ °

Step-by-step explanation:

$sin(angle)=\frac{opposite}{hypotenuse}$

$cos(angle)=\frac{adjacent}{hypotenuse}$

$tan(angle)=\frac{opposite}{adjacent}$

The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.

With this in mind:

$cos(V)=\frac{39}{hypotenuse}$

We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
Pythagorean Theorem: $a^2+b^2=c^2$ where $a$ , $b$ , and $c$ are the 3 different sides of a right triangle.

$a^2+b^2=c^2\\(39)^2+(80)^2=c^2\\1521+6400=c^2\\c=\sqrt{7921} \\c=89$

Our hypotenuse is $89$ . Now we can finish solving for ∠ $V$ .

$cos(V)=\frac{39}{89}\\V=cos^-^1(\frac{39}{89})\\$

∠ $V=64.01$ °

3 0

4 years ago

98. Of the students on the track team, 12 do the high jump. Of those students, 14 also do the long jump. What fraction of the st

Vlada [557]

Answer:

12/14

Step-by-step explanation:

it says 12 do the high jump and 14 do the long jump so it will be 12/4

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%3D%20%5Cfrac%7Bx%20-%204%7D%7B3%7D" id="TexFormula1" title="\frac{5}{

valentina_108 [34]

Step-by-step explanation:

$\frac{5}{2} = \frac{x - 4}{3}$

$3 \times \frac{5}{2} = \frac{x - 4}{3}$

$\frac{3}{1} \times \frac{5}{2} = \frac{x - 4}{3}$

cross multiplication

$\frac{6 \times 5}{2} = \frac{x - 4}{3}$

$15 = \frac{x - 4}{3}$

$15 \times 3 = x - 4$

$45 + 4 = x$

$49 = x$

4 0

3 years ago

Read 2 more answers