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Serggg [28]
3 years ago
7

If triangle ABC is dilated using a scale factor of 2, what will be the coordinates of A after the transformation

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

A' = (-4,4)

Step-by-step explanation:

Given

A = (-2,2)    B = (1,3)       C = (1,0)

k =2 --- scale factor

Required

Determine A'

This is calculated as:

A' = A * k

A' = (-2,2) * 2

A' = (-2 * 2,2 * 2)

A' = (-4,4)

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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
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Answer:  B. H(t) = -6.9(t - 2.3)² + 112

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex   ⇒    k is the maximum height

the distance traveled is when y = 0     ⇒    x=\sqrt{\dfrac{-k}{a}}+h

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = \sqrt{\dfrac{-98}{-7.1}}+2.3    = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \sqrt{\dfrac{-112}{-7.5}}+2.2    = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \sqrt{\dfrac{-112}{-6.9}}+2.3    = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

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D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

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Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.
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The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.

<h3>What is inequality?</h3>

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

y ≤ x - 3

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Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.

Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".

For more about inequality,

brainly.com/question/20383699

#SPJ1

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