What is the image of (8,-5) after a reflection over the line y=−x?

Mathematics

1 answer:

Triss [41]2 years ago

8 0

Answer:

Image is (-8,-5)

Step-by-step explanation:

Any X value reflected over y axis has its integer become opposite. so the 8 would become a -8

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If bisects the angle AYX , then YXZ YAZ.

Sladkaya [172]

When a line is bisected, it is divided into two congruent sides. Because triangle AYX is bisected, it is divided into two congruent sides, which are represented by Triangle YXZ and Triangle YAZ

So the answer is True

5 0

3 years ago

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World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha

dezoksy [38]

Answer:

A) $P(t)=77.2\cdot e^{0.016t}$

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form $y=a\cdot e^{kx}$ , where,

a = Initial value,

k = Growth rate in decimal form.

$1.6\%=\frac{1.6}{100}=0.016$

Upon substituting our given values, we will get:

$P(t)=77.2\cdot e^{0.016t}$

Therefore, our required function would be $P(t)=77.2\cdot e^{0.016t}$ , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute $t=2013-2004=9$ in above formula as: