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3 years ago

Rectangle VWXY is dilated by a scale factor of 2 to form rectangle V'W'X'Y'. Side X'Y'

Mathematics

1 answer:

posledela3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

X'Y' = 2XY . . . . lengths are related by the dilation factor

22 = 2XY . . . substitute the given value

11 = XY . . . . . divide by 2

The measure of side XY is 11.

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Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.

Tema [17]

We are given the functions:

f(x) = 4 x – 5 ---> 1

g(x) = 3 x + 7 ---> 2

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

5 0

3 years ago

MUST BE CORRECT ANSWER HELP ASAP

Nina [5.8K]

Answer:

40287600 = B. 4 x $10^{7}$

Step-by-step explanation:

<u>We first have to do the multiplication of the numbers given:</u>

19 * 2,120,400

=> 40287600

<u>Now we have to figure out how many digits are after the number 4:</u>

4, 0 2 8 7 6 0 0

7 digits

Meaning that we need an exponent of 7 for it to be in scientific notation, giving us with the answer B. 4 x $10^{7}$

6 0

3 years ago

In 2015, Gary earned $25,300. In 2016, he received a raise and earned $28,100. Comparing Gary’s increased salary to his previous

yarga [219]

[Find the changes in the salary]
Increase = 28100 - 25300 = 2800

[the change, divided by the original amount. x100 to give the percentage]
percentage increase = 2800/25300 x 100 = 11.07%

8 0

3 years ago

Read 2 more answers

Help.........................<br><br>

garri49 [273]

<h3>Answer: Choice A</h3>

$x^2\left(\sqrt[4]{x^2}\right)$

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

$\sqrt[4]{x} = x^{1/4}$

The same applies to x^10 as well

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}$

Multiply the exponents 10 and 1/4 to get 10/4

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}$

$\sqrt[4]{x^{10}} = x^{10/4}$

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

$x^{m/n} = x^a\sqrt[n]{x^b}$

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

$x^{m/n} = x^a\sqrt[n]{x^b}$

turns into

$x^{10/4} = x^2\sqrt[4]{x^2}$

which means

$\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}$

7 0

3 years ago

What is the value of X and what is the value of Y<br><br><br>PLEASE HURRY

Veronika [31]

The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.

5 0

3 years ago