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4 years ago

12

Choose the best definition for the following phrase: combining like terms

1 answer:

makvit [3.9K]4 years ago

3 0

I'm assuming you are talking about polynomials.

For example, I have x^2 + 2x + 1, and I want to add 2x^2 + x + 2

Then the like terms here are:

x^2 and 2x^2, 2x and x, 1 and 2, they are quadratic, linear and constant, respectively.

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Complete the point-slope equation of the line through (-5,4) and (1,6). Use exact numbers.

BigorU [14]

ANSWER

$y - 6 = \frac{2}{7} (x - 1)$

EXPLANATION

The point-slope equation of a straight line is given by:

$y-y_1=m(x-x_1)$

Where m is the slope.

The line goes through (-5,4) and (1,6).

The slope of this line is,

$m = \frac{6 - 4}{1 - - 6}$

$m = \frac{2}{7}$

The point-slope equation is

$y - 6 = \frac{2}{7} (x - 1)$

7 0

3 years ago

What is the following quotient? ^3 square root 60 over ^3 square root of 20

ohaa [14]

The answer is the first one

4 0

3 years ago

Read 2 more answers

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Scilla [17]

Answer:

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6 0

3 years ago

Find the difference in area between the circle and the square. Click on the answer until the correct answer is showing

antoniya [11.8K]

The difference in area between the circle and the square is $4\pi -8$

Step-by-step explanation:

Step 1: Finding the area of the square

The area of the square = $side ^2$

Here the side of the square = $2\sqrt{2}$

The area of the square = $(2\sqrt{2})^2$

The area of the square = 8 square units...............(1)

Step 2: Finding the area of the circle

To find the area of the circle lets find the diagonal of the square

The diagonal of the square is equal the diameter of the circle

Now the diagonal of the square = $( \sqrt{2})(side)$

Thus substituting the value

The diagonal = $( \sqrt{2})(2 \sqrt{2})$ = 4 units

$\therefore$ Diameter of the circle = 4 units

Now the area of the circle = $\pi r^2$

where r is the radius of the circle

r = $\frac{diameter}{2}$ = $\frac{4}{2}$ = 2 units

Thus the area of the circle = $\pi (2)^2$ = $4 \pi$ square units .....................(2)

Step 3: Finding the difference

Difference = area of the circle - area of the square

From (1) and (2)

Difference = $4\pi - 8$ square units

8 0

3 years ago

Admission prices at a football game were $5 for adults and $ 2 for children.

satela [25.4K]

Answer:

404 adult tickets were sold, and 250 child tickets.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that

x is the number of adult tickets sold.

y is the number of child tickets sold.

654 tickets were sold.

This means that

$x + y = 654$

$y = 654 - x$

Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.

This means that

$5x + 2y = 2520$

Since $y = 654 - x$

$5x + 2(654 - x) = 2520$

$5x + 1308 - 2x = 2520$

$3x = 1212$

$x = \frac{1212}{3}$

$x = 404$

$y = 654 - x = 654 - 404 = 250$

404 adult tickets were sold, and 250 child tickets.

8 0

3 years ago