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nata0808 [166]
3 years ago
10

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement (round your answer to the nearest hundredth): f(2) =

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

f(x) = 2(x)^{2} +5 \sqrt{x+2}

f(2) = 2(2)^{2} + 5 \sqrt{(2)+2}

f(2) = 2(4) + 5\sqrt{4}

f(2) = 8 + 5(2)

f(2)= 8+10

f(2) = 18

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Help please this is for my homework that is due to tomorrow!!
Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

Learn more about polygons at:

  • brainly.com/question/6569012
  • brainly.com/question/6541303

#LearnwithBrainly

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3 years ago
A rectangular prism has a volume of 1376 cubic inches. The prism is 10 inches wide and 18 inches long. What is the height of the
Vladimir79 [104]

\huge\boxed{ \mathcal{\longmapsto Answer࿐}}

we know,

\boxed{volume = l \times w \times h}

\longmapsto1376 = 18 \times 10 \times h

\longmapsto h =  \dfrac{1376}{180}

\longmapsto h = 7.64 \:   \: inches

3 0
2 years ago
Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f(x) = 5x+150, or into
stepan [7]
In order to calculate the amount, we simply substitute the number of years into x in both equations.
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After 10 years:
f(10) = 5(10) + 150
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g(10) = 150 * 1.03⁽¹⁰⁾
= $201.59
After three years, the first account has more money but after ten years, the second account has more money.
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Alex73 [517]
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11. On Halloween, 87.5% of the homes in a
fiasKO [112]
87.5% of 104
87.5% x 104 = 91 homes handed out candy
8 0
3 years ago
Read 2 more answers
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