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Zielflug [23.3K]
3 years ago
7

This is Algebra 1 Please HELP

Mathematics
1 answer:
kari74 [83]3 years ago
3 0
We know that the area of a rectangle is length * width, and the area of a triangle is 1/2 * base * height.  However, we know that the areas are equal, or that

lw = 1/2bh

If we substitute in the measurements that we know, we can solve the following equation for x.

5x + 1 (x) = 1/2(8x)(x+1)

Let's simplify this equation by multiplying.

5x² + x = 4x² + 4x

Now, let's bring all of the variables to one side of the equation.

x² - 3x = 0 

Finally, we should factor out the Greatest Common Factor.

x(x-3) = 0 

Therefore, by the Zero Product Property, x = 0, 3. But since the measurement of the short side length of the rectangle is x, it cannot be zero. Thus, x = 3.

The question asks for the area of the rectangle, which is <span>5x² + x.
</span>
Let's solve this expression for x = 3.

5(3)² + 3
5(9) + 3
45 + 3
48 

Therefore, the area of the rectangle is 48 square units, or option B.
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Please answer the question in the photo:
Vika [28.1K]

Answer:

\fbox{8x+36}

Step-by-step explanation:

1. Use the distributive property to write the problem without parentheses. The distributive property says that you can multiply a number next to parentheses by all the numbers inside parentheses. The picture below explains.

4(2x+9)=\\\\(4*2x)+(4*9)=\\\\4(2x+9)= 8x+36

Therefore, your answer is

\fbox{8x+36}

6 0
3 years ago
5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged
Wittaler [7]

Answer:

Results are below.

Step-by-step explanation:

<u>First, we need to calculate the variable income per job:</u>

<u />

First job= 450 - 150= 300

Second job= 675 - 150= 525

<u>Now, the hourly rate:</u>

<u></u>

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

5 0
3 years ago
What is the area of this rectangle? *
Neporo4naja [7]

Answer:

36

Step-by-step explanation:9*4=36

3 0
3 years ago
Read 2 more answers
If you invest $4,500 in an account paying 2% compounded continuously, how much money will be in the account at the end of 4 year
saveliy_v [14]
Total = Principal * e^(rate*years)
Total = 4,500 * 2.718281828459^(.02*4)
Total = 4,500 * 2.718281828459^(.08)
Total = 4,500 * <span> <span> </span></span> <span> <span> <span> 1.0832870677 </span> </span> </span>
Total = <span> <span> <span> 4,874.79 </span> </span> </span>
calculator for checking the answer:
http://www.1728.org/compint.htm



7 0
3 years ago
Find the four arithmetic means between 100 and 135. Show work.
Masteriza [31]

Answer:

Please read the answers below.

Step-by-step explanation:

Let's calculate the four means between 100 and 135, this way:

1. Arithmetic mean:

(100 + 135)/2 = 117.5

2. Weighted mean:

We will assign equal weight to both numbers : 5

(100 * 5 + 135 * 5)/10 = (500 + 675)/10 = 1,175/10 = 117.5

3. Geometric mean:

√100 * 135 = √13,500 = 116.2 (Rounding to the next tenth)

4. Harmonic mean:

2/(1/100 + 1/135) = 2/(0.01 + 0.0074) = 114.9 (Rounding to the next tenth)

7 0
3 years ago
Read 2 more answers
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