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Eddi Din [679]
3 years ago
8

The graph of F(x) = x^2 is shown.

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Given a function of a parabola (quadratic) in the form f(x) = x^2, we have a translated function as:

g(x) = a(x-b)^2

Where

  • a is the vertical compression or stretch. If a > 1, it is a vertical stretch and if 0 < a < 1, it is a vertical compression.

  • b is the horizontal translation b units to the right

The function given is p(x) = 3(x-8)^2

So it means that it is a vertical stretch with a factor 3 and the graph is shifted horizontally 8 units right

the correct answer is B

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1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
gavmur [86]

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

L^{2} = H^{2} + B^{2}

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm

2. The two equal angles (θ) can be found using the following trigonometric identity:          

cos(\theta) = \frac{B}{L}

\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}

Hence, the two equal angles are 44°.

I hope it helps you!  

3 0
2 years ago
Neptune is 4.5 billion kilometers from the<br> sun. Represent this number in scientific<br> notation
Tanya [424]

Answer:

4.5 x 10 ^9

Step-by-step explanation:

5 0
3 years ago
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Dovator [93]

Answer:

46656

Step-by-step explanation:

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6 0
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Write a numerical expression for the verbal expression. the difference of eleven and four times five
Lady_Fox [76]
The answer is 11 - (4*5)
8 0
3 years ago
Helppppp plsssss!!!<br><br>Thanks!!
Anvisha [2.4K]

Answer:

D

Step-by-step explanation:

using the rule of exponents

• (a/b)^{n} = a^{n} / b^{n}, hence

(7/4)^{11} = 7^{11} / 4^{11} → D



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3 years ago
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