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2 years ago

15

If line t has a slope of -1/4 what is the slope of any line perpendicular to line t

1 answer:

loris [4]2 years ago

6 0

Answer: 4

Step-by-step explanation: Slopes that are perpendicular to each other are opposite reciprocals. So take the opposite of the sign, negative or positive. Then flip the numerator and the denominator. -1/4 goes to +1/4 goes to +4. Hope this helps!

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5. Solve for x using any method you'd like. Round to the hundredth. Show all your work. (2 points each) d. 20x^3 = 7x^5

Sindrei [870]

Solving this equation for x, we have:

$\begin{gathered} 20x^3=7x^5 \\ 7x^5-20x^3=0 \\ x^3(7x^2-20)=0 \\ \begin{cases}x^3=0\to x=0 \\ 7x^2=20\to x=\pm\sqrt[]{\frac{20}{7}}\end{cases} \end{gathered}$

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5 months ago

Simplify the following expression to simplest form using only positive exponents.

Novosadov [1.4K]

Answer:

$\frac{x^{6} }{4y^{10} }$

Step-by-step explanation:

THIS is the answer if the equation looks like this. $(32x^{-15} y^{25} )^{-2.5}$

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3 years ago

Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)

lidiya [134]

The answer is 11, -4, 0

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x

svetoff [14.1K]

Answer:

a = - $\frac{9}{2}$ , b = - $\frac{25}{4}$

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- $\frac{9}{2}$ )x + $\frac{81}{4}$ - $\frac{81}{4}$ + 14

= (x - $\frac{9}{2}$ )² - $\frac{81}{4}$ + $\frac{56}{4}$

= (x - $\frac{9}{2}$ )²- $\frac{25}{4}$ ← in the form (x + a)² + b

with a = - $\frac{9}{2}$ and b = - $\frac{25}{4}$

8 0

2 years ago

Read 2 more answers

7. Veronica is choosing between two health clubs.

vesna_86 [32]

Answer:

The total cost for each health club will be the same after 4 months.

Step-by-step explanation:

Let A = membership fee for studio A

B = membership fee for studio B

x= membership month

$A = 22 + 24.5x$

$B = 47.00 + 18.25x$

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

$A = B$

$22\:+\:24.5x=47.00\:+\:18.25x$

Step 1: Simplify both sides of the equation.

$24.5x+22=18.25x+47$

Step 2: Subtract 18.25x from both sides.

$24.5x+22-18.25x=18.25x+47-18.25x$

$6.25x+22=47$

Step 3: Subtract 22 from both sides.

$6.25x+22-22=47-22$

$6.25x=25$

Step 4: Divide both sides by 6.25

$\frac{6.25x}{6.25}=\frac{25}{6.25}$

$x=4$

Therefore, the total cost for each health club will be the same after 4 months.

8 0

2 years ago