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8 months ago

HELP ME PLEASE!!!!!!! 50 POINTS!!

Mathematics

1 answer:

garri49 [273]8 months ago

7 0

The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

k - Scale factor
A' - Area of the rectangle R.
A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

k = √36

k = 6

Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

To learn more on scale factors: brainly.com/question/22312172

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Claire Judice

Julli [10]

Answer:

The values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

Step-by-step explanation:

Given:

The equation to solve is given as:

$5x^5+6x^4+80x^3+96x^2=0$

Factoring $x^2$ from all the terms, we get:

$x^2(5x^3+6x^2+80x+96)=0$

Now, rearranging the terms, we get:

$x^2(5x^3+80x+6x^2+96)=0$

Now, factoring $5x$ from the first two terms and 6 from the last two terms, we get:

$x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0$

Now, equating each factor to 0 and solving for 'x', we get:

$x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i$

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

4 0

3 years ago

A plane made a trip to Miami and back. It flew 400mph on the way there and flew 450mph on the return trip. How long did the trip

quester [9]

Answer:

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2 years ago

There are 29235 marbles and 371 jacks. If you want to know the percentage of jacks, do you divide the first number by the second

garik1379 [7]

Answer:

Correct answer: Two decimal places to the right

Step-by-step explanation:

We will set the classic proportion:

29,235 - 100%

371 - x%

29,235 : 371 = 100 : x ⇒ 29,235 · x = 371 · 100

x = (371/ 29,235) · 100 = 0.0127 · 100 = 1.27%

x = 1.27%

You divide first number by the second and then multiply with 100,

which is the same as moving the decimal point two places to the right.

God is with you!!!

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3 years ago

The factorization of x2 + 3x – 4 is modeled with algebra

meriva

Option C: (x+4) and (x-1) are the factors of the equation

Explanation:

Given that the equation is $x^{2} +3x-4$

We need to determine the factors of the equation.

Splitting the middle term, we get,

$x^{2} +4x-x-4$

Grouping the terms, we have,

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Let us factor out the term (x+4), we have,

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Thus, the factors of the equation are (x+4) and (x-1)

Hence, Option C is the correct answer.

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2 years ago

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