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nikklg [1K]
2 years ago
6

Find the value of x (URGENT/GIVING BRAINLIEST)

Mathematics
1 answer:
alexira [117]2 years ago
6 0

Answer:

D. 24

Step-by-step explanation:

Angles are the same, so 84 = 3x.

To get x alone, you divide 3 by both sides.

84/3 = 24

24 = x.

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Step-by-step explanation:

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2 years ago
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It's shust the opposite
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3 years ago
Read 2 more answers
find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
2 years ago
A. 5<br> B. 5.5<br> C. 6<br> D. 5[2
34kurt
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8 0
3 years ago
Simplify the following expression: -7(3e-2f+4)+6e-2
tankabanditka [31]

Answer:

-15e+14f-30

Step-by-step explanation:

First using distributive property to expand the first term:

-21e+14f-28+6e-2

Combining like terms:

-15e+14f-30

3 0
2 years ago
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