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3 years ago

15

A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

2 answers:

azamat3 years ago

6 0

Answer: the answer is D

Step-by-step explanation:

LuckyWell [14K]3 years ago

5 0

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$

$\bold{METHOD\ 2}\\\\\text{Look at the picture.}$

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

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Masteriza [31]

Answer:

y = $\frac{\pi}{3}$

Step-by-step explanation:

using the addition formula for sine

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then

sinxcosy + cosxsiny = $\frac{1}{2}$ sinx + $\frac{\sqrt{3} }{2}$ cosx

for the 2 sides to be equal , then

cosy = $\frac{1}{2}$ and siny = $\frac{\sqrt{3} }{2}$

then

y = $cos^{-1}$ ( $\frac{1}{2}$ ) = $\frac{\pi }{3}$

and

y = $sin^{-1}$ ( $\frac{\sqrt{3} }{2}$ ) = $\frac{\pi }{3}$

thus y = $\frac{\pi }{3}$

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2 years ago

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2 years ago

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avanturin [10]

Answer:

x= 116°

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Step-by-step explanation:

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Answer:

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Step-by-step explanation

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