All categories

4 years ago

Find the slope of the line through (2,-2) and 5,-1)

Mathematics

1 answer:

Kitty [74]4 years ago

4 0

Answer:

$m=\frac{1}{3}$

Step-by-step explanation:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(2,\:-2\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:-1\right)\\\\m=\frac{-1-\left(-2\right)}{5-2}\\\\m = \frac{-1+2}{3}\\ \\Simplify\\m = \frac{1}{3}$

You might be interested in

Simplify 25^ - 1/2 <br><br>Please explain! I know the answer is 1/5 but why?

lisov135 [29]

$(25)^{-\frac{1}{2} }$

When the exponent is negative, you have to make the number a fraction(1 over the number).

For example:

$25^{-2} = \frac{1}{25^{2} }$

$x^{-1} =\frac{1}{x^{1} }$

This gets rid of the negative, but it leaves the exponent

$(25)^{-\frac{1}{2}} = \frac{1}{25^{1/2}}$

When an exponent is a fraction, it is the square root.

For example:

$x^{\frac{1}{3}} = \sqrt[3]{x}$

$x^{\frac{1}{2}} =\sqrt{x}$

$x^{\frac{1}{4}}=\sqrt[4]{x}$

So...

$\frac{1}{25^{1/2}} = \frac{1}{\sqrt{25} } = \frac{1}{5}$

3 0

4 years ago

1<br> Write 60% as a simplified ratio.

ExtremeBDS [4]

Answer:

3:10

Step-by-step explanation:

3 0

3 years ago

Solve the equation for all real solutions.<br> 15r2 – 6r – 3 = -2r

Solnce55 [7]

Answer:

Step-by-step explanation:

hello :

15r² – 6r – 3 = -2r

15r² – 6r – 3 +2r =0

15r²-4r -3 =0

delta =b² -4ac a=15 b=-4 c=-3

delta =(-4)² - 4(15)(-3)=196 = 14²

r1 = (-b - √delta ) /2a = (4-14)/30 = -10/30 = -2/6 = -1/3

r2 = (-b + √delta ) /2a = (4+14)/30 = 18/30 = 3/5

4 0

3 years ago

A square playing field has an area of 1,255 square yards. About how long is each side of the field?

Sloan [31]

Idk probably A I just wanna answer someone

4 0

3 years ago

Which of the following is an equivalent measurement to 500 grams? A. 50mg B.5,000mg C.50,000mg or D, 500,000mg

Shtirlitz [24]

Answer:

Step-by-step explanation:

500,000mg

6 0

3 years ago