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3 years ago

Plzzzzz helpppp asapppppppppp

Mathematics

2 answers:

asambeis [7]3 years ago

8 0

i believe its option 2

Marianna [84]3 years ago

8 0

reflection about the y axis.

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Need to find the direction angle for each vector. #10 and #12 please!

crimeas [40]

Answer:

10) - 45 degrees

12) 0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component: 4 - 8 = -4

use the tangent function to find the angle $\theta$ :

$tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4} = -1\\\theta = -45^o$

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component: - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle $\theta$ :

$tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3} = 0\\\theta = 0^o$

5 0

3 years ago

What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.

Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

$f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}$

6 0

3 years ago

Read 2 more answers

Ten years ago, you purchased a $70,000, 5-year term life insurance policy. At that time you were 30 years old.

Darina [25.2K]

Answer:

a. 14,000

b. 140,000

Step-by-step explanation:

4 0

2 years ago

Mr. Cruz fills a 3-gallon water cooler for a family picnic. He brings plastic cups that each hold 12 fluid ounces of water. How

oksian1 [2.3K]

One gallon is equivalent to 128 fluid ounces

3 gallons is equivalent to 3*128 fluid ounces

= 384 fluid ounces

One plastic cup can hold 12 guide ounces

So cups needed will be 384/12

32 cups

8 0

2 years ago

Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)

valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

$\dfrac{y}{x}=k$

Where, k is the constant of proportionality.

For the given point,

$k=\dfrac{-20}{60}$

$k=\dfrac{-1}{3}$

For option (A),

$k=\dfrac{30}{-10}$

$k=-3\neq \dfrac{-1}{3}$

For option (B),

$k=\dfrac{-15}{30}$

$k=-\dfrac{1}{2}\neq \dfrac{-1}{3}$

For option (C),

$k=\dfrac{10}{-30}$

$k=\dfrac{-1}{3}$ .

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0

2 years ago