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3 years ago

Factor p 2 + 18p + 32. (p+ 4)(p + 8) (P + 2)p+ 16) (P + 16)2

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

Answer:

(P + 2)(p+ 16)

Step-by-step explanation:

Factor p 2 + 18p + 32.

Consider the form x² +bx +c. Find a pair of integers whose product is c and whose sum is b .

In this case, whose product is 32 and whose sum is 18 .

2,16 .

Write the factored form using these integers.

(P + 2)(p+ 16)

<u> CHECK</u>

(P + 2)(p+ 16)

distribute

p(p+16) + 2(p+16)

simplify

p² + 16p + 2p + 32

combine 16p + 2p = 18p

p² + 18p + 32

Please mark as brainliest

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Need help asap on 9, 10,and 11

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Step-by-step explanation:

9. a)

2•(-2) = 2 - 6

-4 = -4

-2 -2 = -2•2

-4 = -4

Yes, the ordered pair is the solution

9. b)

-1 = 3•(-2) +5

-1 = -6 +5

-1 = -1

3•(-2) +(-1) = -2

-6 -1 = -2

-7 ≠ -2

No, the ordered pair is not the solution

10. (-1, -1) and (3, -1)

11.

y = 6 +x

Now substitute it in the first equation:

3•(6 +x) = 5x

18 + 3x = 5x

18 = 2x

x = 18/2

x = 9

Now, substitute x = 9 in the second equation:

y -9 = 6

y = 6 +9

y = 15

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2 years ago

A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation

eduard

First Let we solve the Original system of equations:

equation (1): $x+3y=5$

equation (2): $7x-8y=6$

Multiplying equation (1) by 7, we get

$7x+21y=35 -->(3)$

$7x-8y=6 --> (2)$

Subtracting,

$29y=29$ implies $y=1$

Then $x=5-3(1)=2$

Thus the solution of the original equation is $x=2, y=1.$

Now Let we form the new equation:

Equation 2 is kept unchanged:

Equation (2): $7x-8y=6$

Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:

Equation (1): $8x-5y=11$

Now solve this two equations: $8x-5y=11, \\ 7x-8y=6$

Multiply (1) by 7 and (2) by 8,

$56x-35y=77$

$56x-64y=48$

Subtracting, $29y=29$ implies $y=1$

Then x=2.

so the solution for the new system of equation is x=2, y=1.

This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations

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3 years ago

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Tyrell worked part-time last summer. He worked for 6 weeks and earned

Yuliya22 [10]

Answer:

$70.83

Step-by-step explanation:

425 divided by 6 = $70.83

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2 years ago

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A fish tank is three-fourths full.

max2010maxim [7]

Answer: $\frac{5}{12}$

Step-by-step explanation:

We will subtract the amount of water that leaked out from the amount of water originally in the fish tank.

$\displaystyle \frac{3}{4} - \frac{1}{3} =\frac{3*3}{4*3} -\frac{1*4}{3*4} =\frac{9}{12} -\frac{4}{12}=\frac{5}{12}$

The fish tank is $\frac{5}{12}$ of the way full.

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2 years ago

What is the length of side x? (possibly use similar triangles)

weeeeeb [17]

Law of Sines

$\frac{sin(A)}{a} = \frac{sin(B)}{b}$

$\frac{sin(90)}{14.6} = \frac{sin(45)}{x}$

Cross multiply

x*sin(90) = 14.6sin(45)

x = 14.6sin(45)

x = <span>10.3</span>

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3 years ago