Determine the value of x 2.12 units 2.02 units 12.38 units 0.49 units

Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2

sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

$ax + by = c$

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following point-slope equation of a line:

$y+4 = -\frac {2} {3}(x-12)$

The slope is:

$m_ {1} = - \frac {2} {3}$

We find the slope $m_ {2}$ of a perpendicular line:

$m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}$

Thus, the equation is of the form:

$y-y_ {0} = \frac {3} {2} (x-x_ {0})$

We have the point through which the line passes:

$(x_ {0}, y_ {0}) :( 2, -3)$

Thus, the equation is:

$y - (- 3) = \frac {3} {2} (x-2)\\y + 3 = \frac {3} {2} (x-2)$

We manipulate algebraically:

$y + 3 = \frac{3} {2} x- \frac {3} {2} (2)\\y + 3 = \frac{3} {2} x-3$

We add 3 to both sides of the equation:

$y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x$

We multiply by 2 on both sides of the equation:

$2(y + 6) = 3x\\2y + 12 = 3x$

We subtract 3x on both sides:

$2y-3x + 12 = 0$

We subtract 12 from both sides:

$2y-3x = -12$

ANswer:

$-3x + 2y = -12$

5 0

2 years ago

Solve for variables 3(4−x)=13+3x pls show work

alexgriva [62]

Help this!!!!!!!!!!!!! Work for you

3 0

2 years ago

15 points help! Select the correct answer from the drop-down menu.

Leokris [45]

Answer:The value of m for the given equation is, 35

Step-by-step explanation:

Given an equation: https://tex.z-dn.net/?f=x%5E%7B3m%7D%3D(x%5E%7B65%7D)*(x%5E%7B40%7D)

Use the above property on RHS in equation [1];

Since the base are same i.e, x ; we can add the exponents.

or

Using: , then a=b.

Therefore, 3m=105.

Divide 3 on both sides of an equation:

Simplify:

m=35

Therefore, the valur of m is, 35.

6 0

1 year ago

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

dybincka [34]

Option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8

8 0

2 years ago

PLS HELP FOR BRAINLIEST ANSWER

liberstina [14]

Answer:

Point C which is 1.

Step-by-step explanation:

A = -6

E = 8

M = (A + E)/2

M = (-6 + 8)/2 = 2/2 = 1

The midpoint is 1 which is point C.

7 0

2 years ago