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Arte-miy333 [17]
3 years ago
6

Which figure will be produced by rotating Figure F 90° counterclockwise about the origin (0,0)?

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer:

The 3rd option

Step-by-step explanation:

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Please help with Algebra 1
baherus [9]
The line of symmetry is x = 8, and it means that it takes 8 seconds to reach the maximum height and 8 more seconds to reach the ground.

7 0
3 years ago
Read 2 more answers
How many people will 5 pitchers serve if 1/8 pitcher serves 1 person?
miskamm [114]

Answer:

20 people

Step-by-step explanation:

1/8 serves one so 1/4 does 2 . 1/2 does 3 and 1 does 4 so 4 *5 is 20

8 0
3 years ago
Write the values in the boxes that make the statement true
nikklg [1K]

Answer:

  • \frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}

Step-by-step explanation:

<u>Given</u>

  • \frac{5}{3}xz^a*bx^cy^dz^2 = 15x^7z^{10}

<u>Simplify</u>

  • \frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0

Compare left and right sides and

<u>Find b:</u>

  • <u />\frac{5}{3} b = 15 ⇒ b = 15*3/5 = 9

<u>Find c:</u>

  • 1 + c = 7 ⇒ c = 7 - 1 = 6

<u>Find a:</u>

  • a + 2 = 10 ⇒ a = 10 - 2 = 8

<u>Find d:</u>

  • d = 0

<u>Solution is:</u>

  • \frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}
8 0
3 years ago
Select each binomial that is a factor of x2−13x+30
AveGali [126]

Answer:

C) (x - 3)

E) (x - 10)

Step-by-step explanation:

x² - 13x + 30

x² - 10x - 3x + 30

x(x - 10) - 3(x - 10)

(x - 10)(x - 3)

5 0
3 years ago
What will be the value of
madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}

Then you want to know the value of

\displaystyle\lim_{n\to\infty}a_n

if it exists.

To show the limit exists and that a_n converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that a_1=\sqrt{42}\le\sqrt{49}=7. Suppose a_k\le 7. Then a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7. So by induction, a_n is bounded above by 7 for all n.

Monontonicity: We have a_1=\sqrt{42} and a_2=\sqrt{42+\sqrt{42}}. It should be quite clear that a_2>a_1. Suppose a_k>a_{k-1}. Then a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k. So by induction, a_n is monotonically increasing.

Then because a_n is bounded above and strictly increasing, the limit exists. Call it L. Now,

\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}a_{n-1}=L

\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}\sqrt{42+a_{n-1}}=\sqrt{42+\lim_{n\to\infty}a_{n-1}}

\implies L=\sqrt{42+L}

Solve for L:

L^2=42+L\implies L^2-L-42=(L-7)(L+6)=0\implies L=7

We omit L=-6 because our analysis above showed that L must be positive.

So the value of the infinitely nested radical is 7.

4 0
3 years ago
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