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disa [49]
1 year ago
10

A square has a side of 3x - 4 what is the area of the Square in terms of x?

Mathematics
1 answer:
Doss [256]1 year ago
3 0

Answer:

9x2−24x+16

Hope this helps!

Step-by-step explanation:

The formula for a square is side times side since every side is of equal length. Because we are leaving the answer in terms of x you just multiply 3x-4 by 3x-4 and simplify and you get 9x2−24x+16

Please mark as brainliest :)

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A rectangular prism is 3 units high, 2 units wide, and 5 units long. What is its surface area
andrew11 [14]

Answer:

62 square units

Step-by-step explanation:

Surface area of a rectangular prism = 2 ( wl + hl + hw)

Where,

w = width = 2 units

h = height = 3 units

l = length = 5 units

Surface area of a rectangular prism = 2 ( wl + hl + hw)

= 2 (2*5 + 3*5 + 3*2)

= 2 (10 + 15 + 6)

= 2 (31)

= 62 square units

Surface area of the rectangular prism = 62 square units

8 0
1 year ago
An investor with a stock portfolio worth several hundred thousand dollars sued his broker and brokerage firm because he felt tha
marusya05 [52]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

4 0
2 years ago
The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
mario62 [17]
<span>The dimensions are 40 inches by 55 inches.

Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).

Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).

To divide fractions, flip the second one and multiply:
 y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
8 0
1 year ago
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has dots. The dot plot has dots to the left of
Arisa [49]

Answer:

The dot plot has  22

dots.

The dot plot has   11

dots to the left of the

center and   11

dots to the right of the center.

The center of the data set is  

between 2 and 3

.

Step-by-step explanation:

6 0
1 year ago
Which of the following shows the extraneous solution to the logarithmic equation? log Subscript 4 Baseline (x) + log Subscript 4
vekshin1

<u>Given:</u>

The given equation is \log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7 x+21)

We need to determine the extraneous solution of the equation.

<u>Solving the equation:</u>

To determine the extraneous solution, we shall first solve the given equation.

Applying the log rule \log _{c}(a)+\log _{c}(b)=\log _{c}(a b), we get;

\log _{4}(x(x-3))=\log _{4}(-7 x+21)

Again applying the log rule, if \log _{b}(f(x))=\log _{b}(g(x)) then f(x)=g(x)

Thus, we have;

x(x-3)=-7 x+21

Simplifying the equation, we get;

       x^2-3x=-7 x+21

       x^2+4x=21

x^2+4x-21=0

Factoring the equation, we get;

(x-3)(x+7)=0

Thus, the solutions are x=3, x=-7

<u>Extraneous solutions:</u>

The extraneous solutions are the solutions that does not work in the original equation.

Now, to determine the extraneous solution, let us substitute x = 3 and x = -7 in the original equation.

Thus, we get;

\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-7 \cdot 3+21)

     \log _{4}(3)+\log _{4}(0)=\log _{4}(0)

Since, we know that \log _{a}(0) is undefined.

Thus, we get;

Undefined = Undefined

This is false.

Thus, the solution x = 3 does not work in the original equation.

Hence, x = 3 is an extraneous solution.

Similarly, substituting x = -7, in the original equation. Thus, we get;

\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)

    \log _{4}(-7)+\log _{4}(-10)=\log _{4}(49+21)

    \log _{4}(-7)+\log _{4}(-10)=\log _{4}(70)

Simplifying, we get;

Undefined = \log _{4}(70)

Undefined = 3.06

This is false.

Thus, the solution x = -7 does not work in the original solution.

Hence, x = -7 is an extraneous solution.

Therefore, the extraneous solutions are x = 3 and x = -7

7 0
1 year ago
Read 2 more answers
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