Can some one help me like explaining?!

The equation of line AB is (y-3) = 5 (x - 4). What is the slope of a line perpendicular to line AB?

Nastasia [14]

Y - 3 = 5(x - 4)
y - 3 = 5x - 20
y = 5x - 20 + 3 = 5x - 17
=> slope = 5

For perpendicular line, m2 = -1/m1 = -1/5

5 0

3 years ago

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ILL GIVE BRAINLIEST.

Andrei [34K]

Answer:Simplifying

(5x + -6)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(-3 + 5x) = 0

Multiply (-6 + 5x) * (-3 + 5x)

(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0

((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0

((18 + -30x) + 5x * (-3 + 5x)) = 0

(18 + -30x + (-3 * 5x + 5x * 5x)) = 0

(18 + -30x + (-15x + 25x2)) = 0

Combine like terms: -30x + -15x = -45x

(18 + -45x + 25x2) = 0

Solving

18 + -45x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -5x)(6 + -5x) = 0

Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying

3 + -5x = 0

Solving

3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -5x = 0 + -3

-5x = 0 + -3

Combine like terms: 0 + -3 = -3

-5x = -3

Divide each side by '-5'.

x = 0.6

Simplifying

x = 0.6

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying

6 + -5x = 0

Solving

6 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -5x = 0 + -6

-5x = 0 + -6

Combine like terms: 0 + -6 = -6

-5x = -6

Divide each side by '-5'.

x = 1.2

Simplifying

x = 1.2

Solution

x = {0.6, 1.2}

Step-by-step explanation:

please brainliest this is as good as i could get to an answer to your question

5 0

3 years ago

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PLEASE HELP ME ON THIS

prohojiy [21]

This is in the form mx + b
so,
g(x) = -3x - 5 + 9
-3x + 4
the b is the y-int
y-int = 4

8 0

3 years ago

A person places $82100 in an investment account earning an annual rate of 4.3%, compounded continuously. Using the formula V = P

SVETLANKA909090 [29]

Answer:

$89,472.58

Step-by-step explanation:

P = $82100

r = 4.3% = 4.3/100 = 0.043

T = 2 years

V = P × e^rt

V = 82100 × e^(0.043 × 2)

V = 82100 × e^(0.086)

V = 82100 × 1.0898

V = 89,472.58

The interest after 2 years is $89,472.58

7 0

3 years ago

Which graph shows the solution to the system of linear inequalities?

tangare [24]

Answer:

See below

Step-by-step explanation:

<u>Given system:</u>

y ≥ 2x + 1
y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

8 0

3 years ago

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