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3 years ago

Which graph represents the equation 12 = 32 + 4y? Explain how you know.

1 answer:

6 0

What graph?
BTW the answer to that equation is: x=5
12=32+4y
12-12= 0 (cancels out)
32-12= 20
20 divided by 4= 5
Therefore, x=5

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the first row of an adutorium has 42 seats and each row after has 3 more than the row before it. How many seats are in row 25 an

DiKsa [7]

Algebra time.
We start with 42, this is our base number, we cannot go below this one. Since we add 3 chairs every row, then we add 3(x) to every row after the first one. The first row has 42 chairs. The second has 42 + 3(1), and the third row has 42 + 3(2). X is going to be one less than the row number you’re in. So for the 25th row we do 42 + 3(24). And for the one with 90 seats we have 42 + 48 = 90. There’s a difference of 48 chairs between 42 and 90. So we divide 48 by 3 to see the value of x. 48/3 is 16, so the equation is 42 + 3(16) = 90. Therefore we’re on the seventeenth row. An easier way is to start at 39 (42-3) and then do 39 + 3(1) as the first row.

4 0

4 years ago

Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get

natka813 [3]

Answer:

$\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}$

Step-by-step explanation:

Given

$\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}$

Required

Solve

Change / to *

$\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}$

Factor out 3

$\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}$

$\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}$

Factorize:

$\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}$

Cancel out 3x + 8

$\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}$

Factorize:

$\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}$

Combine

$\frac{x^2 - 9}{2*3x(18 - x)}$

$\frac{x^2 - 9}{6x(18 - x)}$

Express the numerator as a difference of two squares

$\frac{(x - 3)(x+3)}{6x(18 - x)}$

Hence:

$\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}$

8 0

3 years ago

What is the value of x?

Alexus [3.1K]

Answer:

x = 22.5

Step-by-step explanation:

$\frac{BH}{DH} = \frac{HM}{HT} \\ \frac{6}{15 + 6} = \frac{9}{9 + x} \\ \frac{6}{21} = \frac{9}{9 + x} \\ 6(9 + x) = 9 \times 21 \\ 54 + 6x = 189 \\ 6x = 189 - 54 \\ 6x = 135 \\ x = \frac{135}{6} \\ x = 22.5$

5 0

3 years ago

Solve the literal eqaution |-ax-b|=c for x

Reptile [31]

According to the given data we have the following equation:

|-ax-b|=c

So, to calculate the value of x we would have to apply the following property:

absolute rule

if |uI=a, a>o, then u=a or u=-a

Therefore, considering the propert above the calculation of would be as follows:

if a<0

-2x-1=-2

-2x=-1

x=1/2

if a>0

-2x-1=2

-2x=3

x=-3/2

The value of x would be 1/2 and -3/2

4 0

1 year ago

ASAP GEO PROBLEM HELP NEEDED QUICK

olya-2409 [2.1K]

Answer:

See below.

Step-by-step explanation:

The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.

We have the side lengths (x²-1), (2x), and (x²+1).

We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.

So, we can use the Pythagorean Theorem:

$a^2+b^2=c^2$