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3 years ago

1) 3(3x - 4) = -2(1 – 4x)

2 answers:

6 0

Let's solve your equation step-by-step.
3
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Step 1: Simplify both sides of the equation.
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(Distribute)
9
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Step 2: Subtract 8x from both sides.
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Step 3: Add 12 to both sides.
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10

hodyreva [135]3 years ago

3 0

Answer:

x = 10

Step-by-step explanation:

3(3x - 4) = -2(1 - 4x)

9x - 12 = -2 + 8x

9x - 8x = -2 + 12

x = 10

Hope this helps!

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3 years ago

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mr Goodwill [35]

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7 0

3 years ago

What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

3 years ago

Ignore the answer i clicked on, i did not mean to click it

hjlf

Answer:

Step-by-step explanation:

The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.

Diagonal = 5 * 2 = 10

P = 2√2 * 10

P = 20√2

3 0

2 years ago

A triangle has two sides that measure 4ft and 3ft. Which could be the measure of the third side?

Nezavi [6.7K]

The measure of the third side must be less than the sum of the other two. That property is valid for all triangles.

For this question, call x the measure of the third side. So you must have

x < 4 + 3

x < 7 ft

The only option that satisfies the condition above is

option A) 5 ft.

I hope this helps. =)

7 0

3 years ago

Read 2 more answers