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2 years ago

What’s the slope of (-7,2) and (1,4)

Mathematics

1 answer:

mamaluj [8]2 years ago

8 0

Answer:

1/4

Step-by-step explanation:

Slope = (change in the y-values)/(change in the x-values)

Slope = (4 - 2)/(1 - (-7) )

Slope = (4 - 2)/(1 + 7)

Slope = 2/8

Slope = 1/4

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<img src="https://tex.z-dn.net/?f=%28-5x%5E3%29%5E3%2F%2810x%5E5%29%5E2" id="TexFormula1" title="(-5x^3)^3/(10x^5)^2" alt="(-5x^

marta [7]

Answer:

$-\frac{5}{4x}$

Step-by-step explanation:

<h2> $\left(-5x^3\right)^3\div \left(10x^5\right)^2$ </h2><h2> $\frac{-5^3x^9}{\left(10x^5\right)^2}$ </h2><h2> $\frac{-5^3x^9}{10^2x^{10}}$ </h2><h2> $\frac{-5^3x^9}{5^2\cdot \:2^2x^{10}}$ </h2><h2> $\frac{-5x^9}{2^2x^{10}}$ </h2><h2> $\frac{-5}{2^2x}$ </h2>

$-\frac{5}{4x}$

- hope it helps! -

<h2 />

3 0

1 year ago

Find the distance between the

Dovator [93]

Answer:

$\displaystyle d = \sqrt{29}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

<u>Step 1: Define</u>

<em>Identify</em>

Point (5, 10)

Point (10, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{5^2 + 2^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25 + 4}$
[√Radical] Add: $\displaystyle d = \sqrt{29}$