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4 years ago

Factor this expression completely. x^2 - r^2

Mathematics

1 answer:

kenny6666 [7]4 years ago

5 0

Answer:

x² - r² = (x-r)(x+r)

Step-by-step explanation:

x² - r² = (x-r)(x+r) = x²+xr - xr - r² = x² - r²

x² - r²= x² + xr - xr -r²= x(x+r) - r(x+r) = (x+r)(x-r)

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The graph of the function f(x)=(x+2)(x+6) is shown below which statements about the function is true

Svetach [21]

Answer:The answer is D

Step-by-step explanation:I took the test I

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3 years ago

Solve the following initial-value problem: (ex+y)dx+(3+x+yey)dy=0, y(0)=1 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago

Suppose Marlie only paid interest during her 4 years in school and the six-month grace period. What will she pay now in interest

Kay [80]

Answer: interest = $ 3,629.34

Step-by-step explanation:

Complete question

(Marlie will be starting college next year, federal unsubsidized student loan in the amount of $18,800 at 4.29%. She knows that during this non-payment time, interest will accrue at 4.29%. Suppose Marlie only paid the interest during her four years in school and the six-month grace period. What will she now pay in interest over the term of the loan.)

This question relates to interest over a single period of time and since it's not compounded, we use formula for simple interest to calculate the interest accrued.

Data;

P = $18,800

R = 4.29% = 0.0429

T = 4.5 years

S.I = ?

S.I = PRT

S.I = 18,800 * 0.0429 * 4.5

S.I = $3,629.34

Therefore she'll need to pay $3,629.34 as interest accrued.

3 0

4 years ago

She is very young. She can wear this pretty and colorful dress.

SOVA2 [1]

A is the correct answer

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3 years ago

Read 2 more answers

Solve for x. 10 8 6

Serga [27]

Answer:

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

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6x = 108

x = 18

3 0

3 years ago