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kogti [31]
3 years ago
11

PLEASE HELP ME FAST!!!

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

The equation for slope intercept form is written as y = ax +b, where a is the slope and b is the y-intercept.

Using the given slope and y-intercept the equation is:

y = -4x - 9

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Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)
lisov135 [29]

Answer:

y - 20 = 24(x - 3)

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

y - y_0 = m(x - x_0)

In which the point is (x_0,y_0) and the slope is m.

(3, 20)

This means that x_0 = 3, y_0 = 20. So

y - y_0 = m(x - x_0)

y - 20 = m(x - 3)

Slope:

The slope is the derivative of the function at the point:

The function is:

y = x^3 - 3x + 2

The derivative is:

y^{\prime}(x) = 3x^2 - 3

At the point, we have that x = 3. So

m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24

So the equation to the tangent line to the curve a the point is:

y - 20 = 24(x - 3)

8 0
3 years ago
In ΔPQR, PR
Kobotan [32]

Answer:

Step-by-step explanation:

7484(5 757)448(ad (

5 0
3 years ago
3. If angles R and S are complementary, which statement about the two angles is true?
nlexa [21]

Answer: ZR and ZS form a right angle

Step-by-step explanation:

Complementary angles are angles whose sum = 90ᴼ

If R and S are complementary, then their angle measures add to equal 90ᴼ

A right angle = 90ᴼ

6 0
3 years ago
Find the midpoint given the endpoints (7,-9)<br> and (-10,8).
DanielleElmas [232]

Answer:

(-3/2, -1/2)

Step-by-step explanation:

Midpoint formula: (x1 + x2 / 2), (y1 + y2 / 2)

(7 + (-10) / 2), (-9 + 8 / 2)

(-3/2, -1/2)

3 0
3 years ago
What is the reciprocal of 3/4? How can you be sure it is the reciprocal?
inysia [295]
To find the reciprocal of a fraction, just fill it over. Therefore, the reciprocal of 3/4= 4/3. We can be sure that this is the reciprocal because any number multiplied by its reciprocal gives the product of 1:
\frac{3}{4}   \times \frac{4}{3}  = 1
3 0
3 years ago
Read 2 more answers
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