All categories

3 years ago

10. Write an expression in simplified form to represent the area of the trapezoid.

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer:

48 $x^{7}$ y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = $\frac{1}{2}$ × 4 $x^{5}$ × (9x²y + 15x²y )

= 2 $x^{5}$ × 24x²y

= 48 $x^{7}$ y

You might be interested in

Multi step problems what is -10(10+b)=5(3b+5)

Alla [95]

Answer:

b= -5

Step-by-step explanation:

-10(10+b)=5(3b+5)

Distribute

-100 -10b = 15b +25

Add 10b to each side

-100-10b+10b = 15b+10b +25

-100 = 25b+25

Subtract 25 from each side

-100-25 = 25b+25-25

-125 = 25b

Divide by 25

-125/25 =25b/25

-5 =b

5 0

2 years ago

Is the relationship for Camille’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

Irina18 [472]

Answer:

It is a linear function, because the line has no curve, and the line is constant

Step-by-step explanation:

In a non linear function there would be a curve in the line, in this line there is no curve so therefore it is linear function.

4 0

3 years ago

Read 2 more answers

Atevery bus station, busses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in o

Ber [7]

Rate of 3 every 10 minutes.

In 10 minutes there are 3 buses.

In 1 minute it is (3/10). For 1 hour = 60 minutes.

For 60 minutes = 3/10 * 60 = 18.

18 buses.

7 0

3 years ago

If x=3 and y=2, then 2x -y=

melomori [17]

Answer:

2x-y=2

Step-by-step explanation:

sub the numbers in for your variables

2(3)-2=

6-2= 4

4 0

3 years ago

The product of two rational numbers is irrational.

PtichkaEL [24]

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

$\frac{a}{b} *\frac{c}{d}$

Where a, c, b, and d are integers.

We can rewrite that product as:

$\frac{a*c}{b*d}$

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

7 0

2 years ago