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3 years ago

Factor the expression using the GCF 16x+56y

Mathematics

2 answers:

Vlad1618 [11]3 years ago

7 0

Answer:

8(2×+7y)

Step-by-step explanation:

8 is the largest factor

Zolol [24]3 years ago

6 0

8(2x + 7y)

8 is the largest number divisible by both 16 and 56

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Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

$a^2-b^2=(a-b)(a+b)$

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,

$\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}$

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0

1 year ago

If the rate of change of the graph of a linear equation is 4 and the y-intercept is (0, 8), what is the linear equation that rep

serg [7]

Answer:

y = 4x + 8

Step-by-step explanation:

The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.

Hope it helps!!!

(May I have brainliest if it's correct please?)

7 0

3 years ago

What is the next number in the pattern pattern below?

Varvara68 [4.7K]

The answer to this question is A. 31

3 0

3 years ago

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Please help with this!!!

ehidna [41]

Answer:

47.25 ft³

Step-by-step explanation:

The volume of the prism is given by the formula ...

V = Bh . . . . . . . B is the area of the base, h is the height.

The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...

A = 1/2bh . . . . . . b is the base, h is the height

Using the given values for the entrance base and height, we get ...

A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²

Then the volume of the tent is ...

V = (7.875 ft²)(6 ft) = 47.25 ft³

The tent volume is 47.25 cubic feet.

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3 years ago

The ratio 3:8 12:32 omg do not like this comon core math

tensa zangetsu [6.8K]

Both ratios are equal

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3 years ago

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