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AURORKA [14]
3 years ago
5

Write the product in standard form (2x + 5) ^2

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

(2x) (5) = 10x

(2x) (5) = 10x

5 (5) = 25

Combine like terms

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3 years ago
Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?
andrey2020 [161]

The equation of g(x) is g(x)=2 x^{2}+16

Explanation:

Given that the function f(x) is f(x)=\frac{1}{2} x^{2}+4

Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.

We need to determine the equation of g(x)

<u>Equation of g(x):</u>

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

g(x)=4 f(x)

Substituting the values,we have,

g(x)=4\left(\frac{1}{2} x^{2}+4\right)

Simplifying the values, we get,

g(x)=2 x^{2}+16

Hence, the equation of g(x) is g(x)=2 x^{2}+16

6 0
3 years ago
In triangle ABC, a = 3, b = 5, and c = 7. Find the approximate value of angle A.
Lady bird [3.3K]

Answer:

21.8° (22° to the nearest degree)

Step-by-step explanation:

Using cosine law:

a² = b² + c² - 2bc(cosA)

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cosA = 13/14

A = 21.7867893

Approximately angle: 22°

6 0
3 years ago
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