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3 years ago

What is the slope of your line perpendicular to y=5x-12

Mathematics

2 answers:

krok68 [10]3 years ago

4 0

The slope of your line is the x-coefficient: 5.

The slope of a perpendicular line is the negative reciprocal of that: -1/5.

natita [175]3 years ago

4 0

The answer is -1/5!!!!

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What is 3/4 of a number minus -16 equals 28. what is the number

dalvyx [7]

3/4x - 16 = 28
+16 +16
3/4x = 44
*3/4 *3/4
x = 176/3

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2 years ago

Solve the equation -3(y-5)=24

ioda

-3(y-5) = 24...distribute through the parenthesis
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-3y = 24 - 15
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Read 2 more answers

3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?

Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup = 0$ , the equation has only one solution.

In this problem, we have that:

$3x^{2} + kx + 3 = 0$

$a = 3, b = k, c = 3$

$\bigtriangleup = b^{2} - 4ac$

$\bigtriangleup = k^{2} - 4*3*3$

$\bigtriangleup = k^{2} - 36$

We will only have one solution if $\bigtriangleup = 0$ . So

$\bigtriangleup = 0$

$k^{2} - 36 = 0$

$k^{2} = 36$

$k = \pm \sqrt{36}$

$k = \pm 6$

For k = 6 or k = -6, the equation will have exactly one solution.

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2 years ago

Translate this sentence into an equation.

guajiro [1.7K]

To get this answer, you would want to start by dividing 96 by 6 to find matts score. (Answer 16) then just fill in the equation accordingly! m * 6 = 96

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3 years ago