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3 years ago

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Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No

, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined

1 answer:

garri49 [273]3 years ago

9 0

Answer:

Yes, 2

Step-by-step explanation:

Got it right on Edge 2020

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(AP Calc) the graph of the function f shown above has three line segments....

I am Lyosha [343]

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ - 1, 6 ] and from the graph

f(b) = f(6) = 0

f(a) = f(- 1) = 0, thus

average rate of change = $\frac{0-0}{6+1}$ = $\frac{0}{7}$ = 0

7 0

3 years ago

If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).

nadya68 [22]

Answer: The required value is

$(f-g)(x)=x^2+8.$

Step-by-step explanation: The given functions are:

$f(x)=2x^2+1,\\\\g(x)=x^2-7.$

We are given to find the value of $(f-g)(x).$

We know that, if s(x) and t(x) are any two functions of a variable x, then we have

$(s-t)(x)=s(x)-t(x).$

Therefore, we have

$(f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.$

Thus, the required value is

$(f-g)(x)=x^2+8.$

5 0

3 years ago

birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i

vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

$\tt \: \color{hotpink}simple \: interest \color{plum}= \frac{principal \times rate \times time}{100}$

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

$= \tt \frac{500 \times 1.3 \times 4}{100}$

$= \tt \frac{2600}{100}$

$\color{plum} = \tt\bold{\$26}$

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

$=\tt 500 + 26$

$\color{plum} = \tt\bold{\$526}$

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

$\tt \: \color{hotpink}percentage \: of \: change\color{plum} = \frac{change}{original \: price} \times 100$

Which means :

Percentage of change in her savings account :

$=\tt \frac{26}{500} \times 100$

$=\tt \frac{26 \times 100}{500}$

$= \tt\frac{2600}{500}$

$\color{plum} = \bold{\tt\bold{5.2\%}}$

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0

3 years ago

Learn multiplication and division

vaieri [72.5K]

multiplication is for example 10×500=5,000
division is for example 5,000÷10=500

4 0

3 years ago

A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their y

Vsevolod [243]

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence. Their yard is similar but has a scale factor of 8/5 times the size of yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is $\frac{8}{5}$ times your yard, so your friend should purchase $\frac{8}{5}$ times the 319 feet.

$\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}$

$\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}$

$\text{Length of fence your friend should purchase}=510.4\text{ ft}$

Upon rounding our answer to nearest foot, we will get:

$\text{Length of fence your friend should purchase}\approx 510\text{ ft}$

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

5 0

3 years ago