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3 years ago

13

Factor out (x+4) 5x^2(x+4)-7(x+4)

1 answer:

eimsori [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Solution:

x4 -5x2 +4

(x2-4)(x2-1)

(x+2)(x-2)(x+1)(x-1)

Explanation:

In order to factor a trinomial, we find two numbers whose product is ac and whose sum is b.

In the case of x4 -5x2 +4, these numbers would be -4 and -1. We use x2 for each factor in order to account for the x4 and -5x2. A this point, we notice that x2-4 is a difference of squares that factors to (x+2)(x-2) and x2-1 is also a difference of squares that factors to (x+1)(x-1). So our final answer in factored form is (x+2)(x-2)(x+1)(x-1).

HOPE THIS ANSWER WAS HELP FUL FOLLOW MEE <3

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Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AB = 8x − 7, what is x? Round to the nearest tenth.

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The side AB is equal to the side DE. Then the value of x is 6.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle ABC is congruent to triangle DEF.

If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.

Then the side AB is equal to the side DE.

AB = DE

8x - 7 = 41

8x = 48

x = 6

Then the value of x is 6.

More about the triangle link is given below.

brainly.com/question/25813512

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2 years ago

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Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20

zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

$x+8y=-2\\x=-2-8y$

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

$x-3y=20\\(-2-8y)-3y=20$

We can then simplify:

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So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

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$x+8(-2)=-2$ Substitute for y

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So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

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