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lakkis [162]
3 years ago
11

When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?

Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

Option (2)

Step-by-step explanation:

All angles are positive when measured counterclockwise from the x-axis.

Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.

But the angle is -240°.

That means angle is being measured clockwise from the x-axis.

Therefore, terminal side of the of the angle will be in the 2nd quadrant.

Option (2) will be the correct option.

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The graph of an exponential function, f(x), is shown. Move numbers to the blanks to describe how f(x) increases and grows over d
yawa3891 [41]

By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)

It increases by 2 over the interval 1 to 2.

by 4 over the interval 2 to 3.

And by 8 over the interval 3 to 4.

Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)

6 0
1 year ago
Two babies, Carter and Alyssa, were due on the same day. Carter was born 9 days before his due date. If Alyssa was born two week
VikaD [51]
Answer: B) 5 days

Explanation: 2 weeks is equal to 14 days. If you do 14 - 9 you get 5, which is equal to the amount of days after the due date.
6 0
3 years ago
Calc help pretty please
Gre4nikov [31]

Answer:

A.  77.4

Step-by-step explanation:

<u>Linear approximation formula</u>

L(x)=f(a)+f'(a)(x-a)

Given function:

f(x)=(x+1)^2

\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If  $y=f(u)$  and  $u=g(x)$  then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}

\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If  $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}

\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If  $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}

Use the chain rule to differentiate the function.

\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)

Differentiate the two parts separately:

  y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u

  u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1

Put everything back into the chain rule formula:

\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}

\textsf{Therefore, }\:f'(x)=2x+2..

The <u>linear approximation</u> at a = 8 is:

\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}

Finally, substitute x = 7.8 into the <u>linear approximation equation</u>:

\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}

4 0
2 years ago
Read 2 more answers
What value of x makes the
loris [4]

Answer:

x = -12

Step-by-step explanation:

<u>Step 1:  Add 1/4x to both sides</u>

-\frac{1}{4}x - 12 = x + 3

-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x

-12 = \frac{5}{4}x + 3

<u>Step 2:  Subtract 3 from both sides</u>

-12 - 3 = \frac{5}{4}x + 3 - 3

-15 = \frac{5}{4}x

<u>Step 3:  Multiply both sides by 4/5</u>

-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}

-12 = x

Answer:  x = -12

6 0
3 years ago
Read 2 more answers
The question is attached<br> perimeter
ycow [4]

Answer:

62 cm

Step-by-step explanation:

48/4 = 12 so 1 side = 12

the base of the triangle therefore must also be 12 so 38 - 12 = 26

26 + 36 = 62

(2 sides of triangle + 3 sides of square)

4 0
3 years ago
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