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2 years ago

(w+14)/(4w+6)=(3)/(4) show work plz

Mathematics

1 answer:

sergey [27]2 years ago

7 0

Answer:

w = -1.44 and w = -14.06

Step-by-step explanation:

That "(3) / (4)" in (w+14)/(4w+6)=(3)/(4) looks fishy. Assuming that you really meant 3/4, then we have (w+14)/(4w+6)=3/4.

Mult. both sides by 4 to remove the fraction: 4(w+14)/(4w+6) = 3.

Multiply out (w+14)/(4w+6): 4w^2 + 6w + 56w + 84. Combine the w terms, obtaining 4w^2 + 62w + 84. Then the original equation becomes:

4w^2 + 62w + 84 = 3, or 4w^2 + 62w + 81 = 0.

This is a quadratic equation, with a = 4, b = 62 and c = 81. The two roots (values of

w) are as follows:

-62 plus or minus √(62^2-4(4)(81)

----------------------------------------------------------

-62 plus or minus √(2548) -62 plus or minus 50.48

w = ------------------------------------------- = ---------------------------------------

8 8

Simplifying, we get w = -1.44 and w = -14.06

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Please help thank you.

andre [41]

You have a rectangle and 2 triangles:
rectangle = 12 *6 = 72

larger triangle on left, find the base:
base = 6 / tan(45) = 6

area = 1/2 x b x h = 1/2 x 6 x 6 = 18

smaller triangle:
area = 1/2 x b x h
1/2 x 2 x 6 = 6

total area:
72 +6 +18 = 96 cm^2

5 0

2 years ago

What is the answer to

gavmur [86]

Answer:

y = 3/4x+7

Step-by-step explanation:

The slope is 3/4 and a point is (-8,1)

We can use point slope to make an equation for the line

y-y1 = m(x-x1)

y-1 = 3/4(x--8)

y-1 = 3/4(x+8)

y-1 = 3/4x +6

Add 1 to each side

y-1+1 = 3/4 x+6+1

y = 3/4x+7

This is in slope intercept form (y=mx+b)

7 0

2 years ago

Which of the following is an example of the difference of two squares

True [87]

Complete Question: Which of the following is an example of the difference of two squares?

A x² − 9

B x³ − 9

C (x + 9)²

D (x − 9)²

Answer:

A. $x^2 - 9$ .

Step-by-step explanation:

An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.

Thus, difference of two squares takes the following form: $a^2 - b^2 = (a + b)(a - b)$ .