Find the area of the trapezoid.

144 square units
72 square units
88 square units
44 square units

In slope-intercept form, y = (1/3)x + 4 can be used to represent the equation of a line with a slope of 1/3 and a y-intercept of 4.

In mathematics particularly in algebra, the equation of a line is usually formulated in the slope-intercept form, which is y = mx + b. Where m is the slope of the line and b is the y-intercept. For a line with a slope of 1/3 and y-intercept of 4, you would substitute 1/3 for m and 4 for b. Therefore, the equation of the line would be y = (1/3)x + 4

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35 -21 = 14

14/35 reduces to 2/5

Answer:

[tex]y=\dfrac{14-Ax}{2x}[/tex]

Step-by-step explanation:

The given expression is :

[tex]Ax+2xy=14[/tex].............(1)

We need to find the value of y. Subtracting "Ax" on both sides of equation (1) as :

[tex]Ax-Ax+2xy=14-ax[/tex]

[tex]2xy=14-Ax[/tex]

Dividing both sides of above equation by "2x" as :

[tex]\dfrac{2xy}{2x}=\dfrac{14-Ax}{2x}[/tex]

[tex]y=\dfrac{14-Ax}{2x}[/tex]

So, the value of y is, [tex]y=\dfrac{14-Ax}{2x}[/tex]. Hence, this is the required solution.

Answer:

the answer is Step 3

Step-by-step explanation:

i took the test

60 seconds per minute, 60 minutes per hour

60*60 = 3600 seconds per hour

5280 feet per mile

300/5280 = 0.0568 of a mile

2.92/3600 = 0.000811 of an hour

0.0568 / 0.000811 = 70.028 miles per hour

round to 70 miles per hour

Answer:

The quotient of x and 3 is the answer i hope it works

Answer: a) $17.31, b) $17.31.

Step-by-step explanation:

Since we have given that

Total bill for four pairs of shoes = $69.24

Number of pairs of shoes = 4

We need to find the average price for each pair of shoes .

So, Average price would be

[tex]\dfrac{\text{Total amount}}{\text{Number of pairs of shoes}}\\\\=\dfrac{69.24}{4}\\\\=\$17.31[/tex]

If he purchased only 1 pair of shoes, the amount he has to pay based on average price would be $17.31.

Hence, a) $17.31, b) $17.31.

Final answer:

The average price for each pair of shoes from the total bill of $69.24 is $17.31. If only one pair of shoes was purchased, it would also cost $17.31.

Explanation:

To find the average price for each pair of shoes in the first question, you divide the total bill by the number of pairs of shoes. In this case, the total bill is $69.24 for four pairs of shoes.

Step-by-step calculation:

Divide the total cost ($69.24) by the number of pairs (4).

The calculation will be $69.24 / 4 = $17.31.

The average price for each pair of shoes is $17.31.

For the second question, if you were to purchase only one pair of shoes, the cost would be equal to this average price, which is $17.31.

Explanation of the ratios of French decimal time to standard time after the French Revolution.

Ratio of French Decimal Week to Standard Week:

1 French decimal week = 10 days, whereas 1 standard week = 7 days. So, the ratio is 10/7.

Ratio of French Decimal Second to Standard Second:

1 French decimal second = 0.01 standard second since 1 hour = 100 French decimal minutes = 100 x 0.01 = 1 standard hour.

(a) The ratio of the French decimal week to the standard week is [tex]\( \frac{10}{7} \)[/tex].

(b) The ratio of the French decimal second to the standard second is [tex]\( \frac{5}{3} \)[/tex].

To find the ratios of the French decimal week to the standard week and the French decimal second to the standard second, we'll compare the durations of these units in the French decimal system to those in the standard system.

(a) Ratio of the French decimal week to the standard week:

In the French decimal system:

- One French decimal week consists of 10 days.

In the standard system:

- One standard week consists of 7 days.

So, the ratio of the French decimal week to the standard week is:

[tex]\[ \text{Ratio} = \frac{\text{French decimal week}}{\text{Standard week}} = \frac{10 \text{ days}}{7 \text{ days}} \][/tex]

(b) Ratio of the French decimal second to the standard second:

In the French decimal system:

- One minute consists of 100 seconds.

In the standard system:

- One minute consists of 60 seconds.

So, the ratio of the French decimal second to the standard second is:

[tex]\[ \text{Ratio} = \frac{\text{French decimal second}}{\text{Standard second}} = \frac{100 \text{ seconds}}{60 \text{ seconds}} \][/tex]

Now, let's simplify these ratios:

(a) Ratio of the French decimal week to the standard week:

[tex]\[ \frac{10}{7} \][/tex]

(b) Ratio of the French decimal second to the standard second:

[tex]\[ \frac{100}{60} = \frac{5}{3} \][/tex]

So, the ratios are:

(a)  for the French decimal week to the standard week.

(b) [tex]\( \frac{5}{3} \)[/tex] for the French decimal second to the standard second.

Answer:

The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.

To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.

Answer:

B its 100% this one i promise

Step-by-step explanation:

The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomials are,

⇒  (17m - 12n - 1) and (4 - 13m - 12n)

Now, Sum of the polynomial is find as;

The polynomials are,

⇒  (17m - 12n - 1) and (4 - 13m - 12n)

It can be written as;

The polynomials are,

⇒  17m - 12n - 1

  - 13m - 12n + 4

 ---------------------------

  4m - 24n + 3

 ---------------------------

Thus,  (17m - 12n - 1) + (4 - 13m - 12n) = 4m - 24n + 3

Therefore, The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

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Answer:

A. [tex]8i\sqrt{2}[/tex]

Step-by-step explanation:

We have been given a radical expression [tex]2\sqrt{-32}[/tex]. We are asked to find equivalent expression to our given expression.

Using radical rule [tex]\sqrt{-a}=\sqrt{-1}\cdot \sqrt{a}[/tex], we can write [tex]\sqrt{-32}[/tex] as product of [tex]\sqrt{-1}\cdot\sqrt{32}[/tex].

[tex]2\sqrt{-32}=2\cdot \sqrt{-1}\cdot\sqrt{32}[/tex]

Substitute [tex]\sqrt{-1}=i[/tex]:

[tex]2\sqrt{-32}=2i\cdot\sqrt{32}[/tex]

[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 16}[/tex]

[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 4^2}[/tex]

[tex]2\sqrt{-32}=2*4i\cdot\sqrt{2}[/tex]

[tex]2\sqrt{-32}=8i\sqrt{2}[/tex]

Therefore, the equivalent expression would be [tex]8i\sqrt{2}[/tex].

The expression which is equal to 2√-32 is; 8i√2

According to the question, we have been given the radical expression; 2√-32

First, the expression can be evaluated as follows;

We must recall that, In complex numbers, √-1 = i.

Therefore, the expression which is equal to 2√- 32 is:. 8i√2

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The intersection of sets is composed of the common elements.

The given sets have two common elements: 2 and 5.

{2;3;5;7}∩{2;5;11;13}={2;5}

Answer:

A ∩ B = {5, 11}

Step-by-step explanation:

Hello, the intersection of two sets A and B (A  B), is the set that contains all elements of A that also belong to B , I mean , the common elements

Step 1

Let

A = {2, 3, 5, 7, 11}

B = {5, 11, 13, 15, 17}

you have to verify the common elements, first order the data from least to greatest to make it easier, here they are already sorted

A ∩ B = {5, 11}

Have a great day