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deff fn [24]
2 years ago
14

What is the measure of Angle 1 and Angle 2?

Mathematics
1 answer:
Oksanka [162]2 years ago
3 0
The measure of angle 1 would be (3x+2) and the measure of angle 2 would be (5x+10). There is no way to determine the exact degrees of these angles because not enough information is given.
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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
3 years ago
Please I will give 5 points
andrew11 [14]

Answer:B

Step-by-step explanation:

5 0
2 years ago
Help please and thank you ​
Dominik [7]

Answer:

  D

Step-by-step explanation:

We assume the rotation R is <em>counterclockwise</em> 60°.

__

The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.

When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.

  (\mathcal{R}^2\circ\mathcal{R}^{-4})(\text{figure})=\mathcal{R}^{-2}(\text{figure})=\text{figure rotated $120^{\circ}$ CW}

The point 120° clockwise from B is D.

The desired image point is D.

3 0
3 years ago
−3y−4x=−11 3y−5x=−61 ​
natulia [17]

\left \{ {{-3y-4x=-11} \atop {3y-5x=-61}} \right. \\-9x=-72\\x=8\\3y-5*8=-61\\3y=-21\\y=-7\\\\(8;-7)

8 0
3 years ago
Read 2 more answers
Frank needs a total of $360 to cover his expenses for the week. He earns $195 a week working at a restaurant and also walks dogs
marin [14]

195 +15d=360

answer

subtract 195 from each side

15d=165

d=165/15=11

He would need to walk 11 dogs

8 0
2 years ago
Read 2 more answers
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