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musickatia [10]
3 years ago
15

What is the equation in point-slope form of the line that passes through the point (3, −2) and has a slope of 23 ?

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
Use the point slope formula. then, substitute the values inside the formula.

x1 =3
y1= -2
m = 23

y -y1 = m ( x - x1)

y - (-2) = 23 (x - 3)

y + 2 = 23 ( x - 3)

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If f(x)=-4x—2 is vertically translated 6 units up to g( x ) what is the y-intercept of g(x)
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Answer:

The y-intercept of g(x) is 4.

Step-by-step explanation:

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When performing a vertical translation of a function, the graph will move from one point to another determined point in the direction of the "y" axis, that is, up or down. In this way the value of n is modified.

In the function f (x) = - 4x-2, the y-intercept has a value of -2. If this function is translated vertically 6 units up, then the new y-intercept value is -2 + 6 = 4

So, <u><em>the y-intercept of g(x) is 4.</em></u>

3 0
3 years ago
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In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

Using the sine ratio in the right triangle.

sin75° = \frac{opposite}{hypotenuse} = \frac{HF}{FG} = \frac{HF}{24}

Multiply both sides by 24

24 × sin75° = HF , thus

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3 years ago
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Step-by-step explanation:

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Answer:

240 students

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