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2 years ago

Complete the square to solve the equation below. x^2-10x-2=17

Mathematics

1 answer:

Naddika [18.5K]2 years ago

8 0

Answer:

Exact form : x = +_2 squareroot 11+5

Decimal form : x=11.63324958...,-1.63324958...

Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term. Solve for x by using the term to complete the square.

I hope this helps you out! :)

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3 years ago

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Triangle A'B'C' is a dilation of AABC. What is AB?

Pavlova-9 [17]

Answer:

C. 9

Step-by-step explanation:

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2 years ago

Factorize 9(a+1)^2-81

lora16 [44]

Answer:

The answer is 9(a-2)(a+4).

Step-by-step explanation:

Use $a^{2} -b^{2} =(a-b)(a+b)$

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

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2 years ago

Lindsey was making got chocolate. She used 3 cups of water to 2 tsp of coco mix. What is the ratio of coco mix to the water?

sineoko [7]

Answer:

Ratio of coco mix to water is 2 : 3.

Step-by-step explanation:

Given that:

Lindsey used 3 cups of water to 2 tsp of coco mix to make chocolate.

Ratio is the quantitative relationship between two amounts.

Ratio of coco mix to water.

Tsp of coco mix : Cups of water

2 : 3

Hence,

Ratio of coco mix to water is 2 : 3.

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2 years ago

Complete the square to solve the equation below. x^2-10x-2=17​

Complete the square to solve the equation below. x^2-10x-2=17