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2 years ago

Find the slope of the line that passes through the given points. (7,3) and (13,8)

Mathematics

1 answer:

Trava [24]2 years ago

4 0

Answer:

$\frac{5}{6}$

Step-by-step explanation:

To find the slope, use the equation to find slope. The picture below shows what it looks like.

Using the equation, substitute the values in the x and y values.

$\frac{8-3}{13-7}$

Then solve

$\frac{5}{6}$

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Find the value of x Write your answer in simplest radical form

Misha Larkins [42]

What's the equation?

6 0

2 years ago

Solve the equation without the use of a calculator. please Help!!! Thank you!!!<br> 12x^3-30x=5-2x^2

nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

$12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0$

Now that we've factored our equation, we can use ZPP and break it up:

$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$

So, our solutions are:

$x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}$

4 0

3 years ago

What is the simplified form of the following expression?

kogti [31]

Answer:

$\sqrt{3}$

Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

$\sqrt{a*b}=\sqrt{a}* \sqrt{b}$
$\sqrt{a}*\sqrt{a}=a$

<em>Let's simplify this:</em>

$2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3} \\=\sqrt{3}$

First answer choice is right.

5 0

3 years ago

Find the zeros or roots for the quadratic expression 2^2−8−10. Must show all work to receive credit

Sav [38]

Answer:

x = -1,5

Step-by-step explanation:

2x² - 8x - 10

2x² - 10x + 2x - 10

2x(x - 5) + 2(x - 5)

(x - 5)(2x + 2)

x = 5 x = -2/2

x = -1,5

5 0

2 years ago

A bag contains 6 red marbles, 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow mar

Trava [24]

6/18 simplified into 1/3

3 0

2 years ago