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2 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Mathematics

2 answers:

SVEN [57.7K]2 years ago

8 0

Answer:

3x+13

Step-by-step explanation:

Xelga [282]2 years ago

3 0

Answer:

Option (3) is correct.

side length of square is (3x + 13 ) units.

Step-by-step explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x + 52

⇒ Side = $\frac{12x+52}{4}$

⇒ Side = $\frac{4(3x+13)}{4}$

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.

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Libby sold $60 worth of vegetables at the farmer's market. Jess sold 3/4ths of what Libby sold. Stephanie sold 1/3rd of what Jes

Gemiola [76]

Answer:

$120.

Step-by-step explanation:

We have been given that Libby sold $60 worth of vegetables at the farmer's market.

Jess sold 3/4th of what Libby sold. Let us find 3/4 of 60.

$\text{Jess sold}=60\times \frac{3}{4}$

$\text{Jess sold}=15\times 3$

$\text{Jess sold}=45$

Therefore, Jess sold $45 worth of vegetables.

We are told that Stephanie sold 1/3rd of what Jess sold. So let us 1/3rd of 45.

$\text{Stephanie sold}=45\times \frac{1}{3}$

$\text{Stephanie sold}=15$

Therefore Stephanie sold $15 worth of vegetables.

Now let us add amounts of money earned by Libby, Jess and Stephanie to get the total money earned by all.

$\text{The total money earned by Libby, Jess and Stephanie}=60+45+15$

$\text{The total money earned by Libby, Jess and Stephanie}=120$

Therefore, they all sell $120 worth of vegetables together.

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2 years ago

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Which expression is equivalent to (4 + 7i)(3 + 4i)? –16 + 37i 12 – 28i 16 – 37i 37 + 16i

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Answer:

The equivalent expression is $\Rightarrow -16+37i$

A is correct

Step-by-step explanation:

We are given two complex number and need to multiply it. To find equivalent fraction.

$(4+7i)(3+4i)$

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd

$\Rightarrow (4+7i)(3+4i)$

$\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)$

$\Rightarrow 12+16i+21i+28i^2$

Combine the like term and simplify

$\Rightarrow 12-28+37i$ $\because \ \ i^2=-1$

$\Rightarrow -16+37i$

Hence, The equivalent expression is $\Rightarrow -16+37i$

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2 years ago

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In the diagram, points A, B, and C lie on a circle. Which conclusion can be correctly drawn from the fact that O is the center o

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Answer:

Option D is correct

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2 years ago

Which statements are true of the graph of h(x) = RootIndex 3 StartRoot x minus 4 EndRoot? Check all that apply. The domain of h(

Nastasia [14]

True statements:

The domain of h(x) is the set of all real numbers.

The range of h(x) is the set of all real numbers

Step-by-step explanation:

The function given in this problem is

$h(x)=\sqrt[3]{x-4}$

Now let's analyze the statements given:

- The domain of h(x) is the set of all real numbers. --> TRUE. The domain of a function is the set of values allowed for x. Here there is no restriction for the value of x, since the argument of an odd root can have any value (either positive or negative), so the domain of h(x) is the set of all real numbers.

- The range of h(x) is the set of all real numbers. --> TRUE. The range of a function is the set of values that the y can take. In this case, y can take any value: in fact, as $x \rightarrow +\infty$ , then $y \rightarrow +\infty$ , and as $x \rightarrow -\infty$ , then $y \rightarrow -\infty$ , and since there are no points of discontinuity in the function, this means that it can take any value of y.

For all points (x, h(x)), h(x) exists if and only if x – 4 > 0 --> FALSE. As we stated in part 1), the argument of a cubic root can be either positive or negative, so the function is defined also for x - 4 < 0.

The graph of h(x) is a translation of f(x) down 4 units. --> FALSE. The form of f(x) is not given so we can't evaluate this statement.

The graph of h(x) intercepts the x-axis at (4, 0). --> FALSE. In fact, when $x=0$ , the value of the function is

$h(0)=\sqrt[3]{0-4}=\sqrt[3]{-4}$

which is different from 4.

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Which situation could be represented by the graph?

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Answer:

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

Step-by-step explanation:

1. The closed dot means the number is equal to and the open dot means the number is less/ greater than

2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8

3. The line goes left from the 11 with an open dot, making x less than ll

4. This means the number must be equal to or greater than 8, and less than 11

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2 years ago

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