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3 years ago

15

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

1 answer:

Kitty [74]3 years ago

4 0

Answer:

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

Step-by-step explanation:

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

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3 years ago

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

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$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

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Solving above:

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So, the quotient is $\frac{3}{2}$ .

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3 years ago

Two groups collect litter along the side of a rode. It takes each group 5 min to clean up a 200-yard section. How long does it t

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3 years ago

Find the value of x in the triangle shown below

CaHeK987 [17]

Answer:

<h2>46.4°</h2>

Step-by-step explanation:

Apply sine formula:

$\frac{sin \: a}{a} = \frac{sin \: b}{b} = \frac{sin \: c}{c}$

$\frac{sin \: a}{a} = \frac{sin \: c}{c}$

Plug the values

$\frac{sin \: (88)}{6.9} = \frac{sin \: x}{5}$

Apply cross product property

$5 \: sin \: (88) = 6.9 \: (sin \: x)$

$\frac{5 \: sin \: (88)}{6.9} = sin \: x$

$x = {sin}^{ - 1} ( \frac{5 \: sin \:( 88)}{6.9} )$

$x = 46.4$

Hope this helps .....

Best regards!!!

3 0

3 years ago

Read 2 more answers