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3 years ago

Choose the equation of the horizontal line that passes through the part point (1,-5)

Mathematics

2 answers:

vladimir2022 [97]3 years ago

4 0

We know is a horizontal line, so, if it passes through 1,-5, it also passes through "whatever", -5, like 20, -5 or 1000000, -5, or -100000000, -5 and so on.

so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 1 &,& -5~) 
% (c,d)
&&(~ -7 &,& -5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-5)}{-7-1}
\\\\\\
\cfrac{-5+5}{-7-1}\implies \cfrac{0}{-8}\implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=0(x-1)
\\\\\\
y+5=0\implies y=-5$

Natalija [7]3 years ago

3 0

The answer is A. Y=-5

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ryzh [129]

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3 years ago

Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

Len [333]

3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
y = 3/4 x - 2

Need to check if the given choices have the same slope.

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y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
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y = -6/-8 x + 12/-8
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y = 3/4 x - 2

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3 years ago

Read 2 more answers

26. Law of sines, please give a step by step explanation

Stels [109]

Answer:

174.6 ft

Step-by-step explanation:

It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)

We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...

180° -30° -112° = 38°

Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.

c/sin(C) = a/sin(A)

c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft

The height of the tree is about 174.6 feet.

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3 years ago

A video game costs $45.99. It is 45% off today at the store. What is the sale price of the video game?

stepan [7]

Answer:

the sale price of the video game after discount is 25.29

hope this helps have a nice day please give me brainliest:)

Step-by-step explanation:

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3 years ago

What is the domain of g(x) = sqrt x +1

Shkiper50 [21]

There can be no negative in a sqrt
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x+1 $\geq$ 0
x $\geq$ -1
so all answers must be greater then or equal to -1
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3 years ago