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2 years ago

A parallelogram with vertices (–1, 3), (5, 1), (3, –2), and (–3, 0) is translated right 4 units, down 2 units.

Mathematics

1 answer:

IgorLugansk [536]2 years ago

8 0

A. the coordinates for the 3rd one is (7, -4)

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Answer:

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Step-by-step explanation:

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Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!

yan [13]

Answer:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}$

Step-by-step explanation:

You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

$cos(2\theta)=1-2sin^2(\theta)$

so we will make that replacement, getting everything in terms of sin:

$sin(\theta)+1=1-2sin^2(\theta)$

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

$2sin^2(\theta)+sin(\theta)=0$

We can factor out the sin(theta), since it's common in both terms:

$sin(\theta)(2sin(\theta)+1)=0$

Because of the Zero Product Property, either

$sin(\theta)=0$ or

$2sin(\theta)+1=0$

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}$

The next equation needs to first be solved for sin(theta):

$2sin(\theta)+1=0$ so

$2sin(\theta)=-1$ and

$sin(\theta)=-\frac{1}{2}$

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

$\theta=\frac{2\pi}{3},\frac{4\pi}{3}$

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2 years ago

Beau and Bellas Grandmother gave them a big box of pencils for school. If they split the pencils equally, what equation shows ho

nexus9112 [7]

The answer would be P=t/2

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2 years ago

You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each

galben [10]

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

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3 years ago