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3 years ago

(4,31/2) + (4,-21/4)

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

(8,41/4)

Step-by-step explanation:

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LOTS OF POINTS Simplify the expression by factoring, showing the steps in your work

julia-pushkina [17]

Answer:

$\frac{3x+7}{4x+1}$

Step-by-step explanation:

$\frac{12x^2+31x+7}{16x^2+8x+1}$

First you factor $12x^2+31x+7$ :

$=\left(12x^2+3x\right)+\left(28x+7\right)$

Then you factor out $3x$ from $12x^2+3x$ :

$12x^2+3x$

$=12xx+3x$

$=3\cdot \:4xx+3x$

$=3x\left(4x+1\right)$

Then you factor out 7 from $28x+7$ :

$28x+7$

$=7\cdot \:4x+7$

$=7\left(4x+1\right)$

$=3x\left(4x+1\right)+7\left(4x+1\right)$

Factor out common term $4x+1$ :

$=\left(4x+1\right)\left(3x+7\right)$

$\frac{\left(4x+1\right)\left(3x+7\right)}{16x^2+8x+1}$

Factor $16x^2+8x+1$ :

$=4^2x^2+8x+1$

$=4^2x^2+8x+1^2$

$=\left(4x\right)^2+8x+1^2$

$=\left(4x\right)^2+2\cdot \:4x\cdot \:1+1^2$

Use the perfect square formula:

$=\left(4x+1\right)^2$

$\frac{\left(4x+1\right)\left(3x+7\right)}{\left(4x+1\right)^2}$

Cancel out common factor $4x+1$ :

$=\frac{3x+7}{4x+1}$

8 0

3 years ago

Thursday Every row and column must add to 24. Use only 4 through 12. be on

maw [93]

Answer:

12 two times or 4 eight times

7 0

3 years ago

Athena deposits $500 into a savings account that earns 5.4% simple interest. She will not make any additional deposits or withdr

adelina 88 [10]

Answer:

Interest earned= $81

Step-by-step explanation:

Giving the following information:

Athena deposits $500 into a savings account that earns 5.4% simple interest.

Number of periods= 3 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

P= principal

t= number of periods

I= 500*0.054*3

I= $81

6 0

3 years ago

If c is the hypotenuse of a right

il63 [147K]

Answer:

Step-by-step explanation:

The Pythagorean theorem tells you ...

c^2 = a^2 +b^2

c^2 = 16^2 +63^2 = 4225

c = √4225

c = 65

3 0

3 years ago

I WILL AWARD BRAINLIST PLS SOLVE

Ivanshal [37]

Answer:

Ah yes rsm.

Anyways, AB is parallel to DE so 72= angle BDE. So BDE+2x+2x=180

72+4x=180

108=4x

x=27

3 0

3 years ago