$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-30}{6 +4} \implies \cfrac{ -30 }{ 10 }\implies -3$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-13=-3(x+4)\implies y-13=-3x-12\implies y=-3x+1$

8 0

2 years ago

Possesses help its timed will mark brainliest

umka21 [38]

Answer:

$\sqrt{13}$

Step-by-step explanation:

The two points:

(0, 0) and (-3, -2)

The distance:

d = $\sqrt{(x2- x1)^2 + (y2 - y1)^2 }$
d = $\sqrt{(-3)^2 + (-2)^2}$ = $\sqrt{13}$

3 0

3 years ago

Suppose you know that S angle and Y angle are complementary, and that angle S=5(angle Y)- 180 degrees. What is the value of angl

Bogdan [553]

The correct question is
Suppose you know that S angle and Y angle are complementary, and that angle S=5(angle Y)- 180 degrees. What is the value of angle Y?

we know that
S angle and Y angle are complementary
so
S+Y=90-------> S=90-Y------> equation 1
and
S=5Y-180----> equation 2

equate equation 1 and equation 2
90-Y=5Y-180------> 5Y+Y=180+90-----> 6Y=270-----> Y=45°
S=5*45-180-----> S=45°

the answer is
Y=45°

8 0

3 years ago

A newsletter publisher believes that 30% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and perf

fredd [130]

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

5 0

3 years ago