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3 years ago

Use the distributive property to expand the following expression. Then combine the like terms.

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

Answer:

6b + 3a - 39n

Step-by-step explanation:

Expanding using the distributive property :

-3(-2b + 5a + 7n - 10a + 6n +4a)

Multiply all values in the bracket by - 3

6b -15a - 21n + 30a - 18n - 12a

Collect like terms

6b - 15a + 30a - 12a - 21n - 18n

6b + 3a - 39n

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Find the midpoint of the segment with the given endpoints. D(1, 2) and E(5, –2)

andre [41]

The formula is (x + x / 2, y + y / 2)
1 + 5 / 2 = 3
-2+2 / 2 = 0

the mid point is (3,0)

4 0

3 years ago

In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

$-16t^2+55t-36=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+55t-36=0$

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0

3 years ago

Explain how to model 32% on a 10-by-10 grid. How does the model represent ratio of 32 to 100.

pantera1 [17]

To model 32%, you would just color in 32 out of 100 blocks. It represents the ratio because out of 100 blocks, 32 are shaded.

4 0

3 years ago

Question 1-3........

Xelga [282]

1. Answer:

C. 1050

Step-by-step explanation:

To find the area of a rectangle, it is length * width * height

25 * 7 = 175

175 * 6 = 1050

2. Answer:

C. 8

Step-by-step explanation:

To find the missing dimension of a rectangle, you can easily just divide the total by each dimension

540 divided by 7.5 = 72

72 divided by 9 = 8

3. Answer:

D. 31,400

(31,415.9)

Step-by-step explanation:

The radius of the cylinder is 20

The height of the cylinder 25

πr2h is the formula used to find the volume of a cylinder

3 0

3 years ago

Help, please Ill mark brainliest!

aev [14]

Answer:

the answers are 12.5, 5, 2, 0.8 and 0.32

Step-by-step explanation:

2(0.4)^-2

=2(6.25)

= 12.5

2(0.4)^-1

= 2(2.5)

2(0.4)^0

=2(1)

2(0.4)^1

=2(0.4)

=0.8

2(0.4)^2

=2(0.16)

=0.32

4 0

3 years ago