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3 years ago

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .

Mathematics

1 answer:

Bumek [7]3 years ago

5 0

The formula for a rotation 270° counterclockwise about the origin is (x,y)--->(y,-x)

D'(4,2) E'(7,-4) F'(3,-10) G'(0,-8)

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Factor completely 3x2 - 21.

VMariaS [17]

3x² - 21

Factor 3 from both terms:

3 (x² - 7)

To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:

3 (x + √7) (x - √7)

Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:

3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)

but to me, this would be nonsense.

6 0

3 years ago

Read 2 more answers

(x-2) Divided By (x^3-4x^2+ 6x-4) long divison

gayaneshka [121]

x2 - 2x + 2
hope this helps

8 0

3 years ago

There are 72 girls playing in the playground 3/7 of the children in the playground are boys how many children are playing in the

kogti [31]

Fraction of girls = 1 - 3/7 = 4/7

4/7 is equivalent to 72 girls
1/7 .. .. ............. 72 / 4 = 18
Total number of children = 7/7 = 18*7 = 126 Answer

6 0

3 years ago

Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:

Igoryamba

Answer:

0.43

Step-by-step explanation:

8 0

3 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago