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3 years ago

Please help.I need all comparing parts, corresponding parts, and the last question in the problem.

Mathematics

1 answer:

mamaluj [8]3 years ago

6 0

Shift left 4 units
rotate clockwise 270 degrees about the origin
not sure about the statement though

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Can someone show me how to factor this please?

Alex_Xolod [135]

Answer:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

Step-by-step explanation:

We want to solve the equation:

$2\sin ^2 \theta + 3\sin \theta + 1 = 0$

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

$\displaystyle 2u^2 + 3u + 1 = 0$

Factor:

$\displaystyle (2u+1)(u+1) = 0$

By the Zero Product Property:

$\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0$

Solve for each case:

$\displaystyle u = -\frac{1}{2} \text{ or } u = -1$

Back-substitute:

$\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1$

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

8 0

3 years ago

Zipora wants to construct a triangle that has the following angle measures: 50°, 75°, and 55°. How many triangles can she make?

Alborosie

As sum of all angles of triangle equal to 180 degrees.
First we have to add the angles.
50+75+55
=50+130
=180 degrees

Answer: Zipora can construct exactly one triangle.

4 0

3 years ago

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Hlo friends good morning

NikAS [45]

arey. buy deepa notes no need to complicate it

8 0

3 years ago

Which of the following is the solution to the equation 25(z − 2) = 125? (6 points)

makvit [3.9K]

Answer:

z=7

Step-by-step explanation:

25(−2)=125

25−50=125

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3 years ago

What is 3x1+1+1+1+1+1+1+1+2+3

Andrej [43]

Answer:

Step-by-step explanation:

Math is fun.

7 0

3 years ago

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