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3 years ago

Please help, last unit of algebra 2, thankyou!!!!!!!!!!!!

Mathematics

1 answer:

Mumz [18]3 years ago

6 0

Answer:

$\cot \theta = \frac{8}{15} \\\\\sec \theta = \frac{17}{8} \\\\\csc \theta = \frac{17}{15}$

Step-by-step explanation:

$\huge \tan \theta = \frac{15}{8} ...(given) \\ \\ \huge \because \: \cot \theta = \frac{1}{ \tan \theta} \\ \\ \huge \therefore \: \cot \theta = \frac{1}{ \frac{18}{8} } \\ \\ \huge \therefore \: \cot \theta = \frac{8}{15} \\ \\ also \\ \huge \sec \theta = \frac{17}{8} \\$

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Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g

BaLLatris [955]

Using translation concepts, the correct statements are given as follows:

Ava's graph is vertical translation of x².

Ava's graph has a y-intercept of 4.

Victor's graph moves 4 units from f(x) = x² in a positive direction.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Ava's graph is given by:

h(x) = x² + 4.

It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.

Victor's graph is given by:

g(x) = (x + 4)²

Which means that it moves 4 units from f(x) = x² in a positive direction.

More can be learned about translation concepts at brainly.com/question/4521517

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6 0

1 year ago

Question: Consider the similarity transformation of ΔABC to produce ΔEDF.

german

Answer:

see the explanation

Step-by-step explanation:

we have triangle ΔABC

step 1

Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'

Remember that

A rotation is a rigid transformation

An object and its rotation are the same shape and size, but the figures may be turned in different directions

ΔABC and ΔA'B'C' are congruent

ΔABC≅ ΔA'B'C

step 2

Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF

Remember that

A dilation is a non rigid transformation

A dilation produces similar figures

If two figures are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent

Find the scale factor of the dilation

The scale factor is equal to the ratio of corresponding sides

In this problem

Let

z ----> the scale factor

$z=\frac{ED}{AB}=\frac{DF}{BC}=\frac{EF}{AC}$

Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF

Note: in this problem the scale factor z is less than 1

That means ----> the dilation is a reduction

3 0

3 years ago

A store manager predicts that 150 blankets will be sold if each blanket

Sever21 [200]

Answer:

$47

Step-by-step explanation:

Given: Store manager have predicted that 150 blanket can be sold at $32 each.

Also he has predicted sales of 2 blanket will decrease with $1 increase in price.

Now, finding price at which 120 blanket can be sold.

As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.

∴ $150-120 = 30\ blankets$

Using unitary method to find correct price.

For 2 decrease in sales = $1 increase in price

∴ 30 decrease in sales of blanket = $15 increase in price

Next, price of 120 blanket = $Price of 150\ blanket + increase\ in\ price$

Price\ of\ 120\ blanket = $32+15 = \$ 47$

∴ $47 should be the price for at least 120 blanket to be sold.

7 0

3 years ago

How long did world war2 last

DochEvi [55]

September 1, 1939 - september 2, 1945

5 0

3 years ago

Read 2 more answers

Find the prem of shaded shape

rodikova [14]

Answer: 50m

Step-by-step explanation:

The perimeter of the shape can be found by adding together all the lengths of the sides. See attached for my work.

5 0

2 years ago

Please help, last unit of algebra 2, thankyou!!!!!!!!!!!!​

Please help, last unit of algebra 2, thankyou!!!!!!!!!!!!