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andreev551 [17]
3 years ago
15

Use the Distributive Property to find the product mentally. Show the steps you used.

Mathematics
1 answer:
Bingel [31]3 years ago
7 0
7 * 2.9

(7 * 2) + (7 * 0.9) = 20.3 <==
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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

so

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
Choose the value for reflection to place triangle ABC on top of triangle DEF. How did the orange triangle move? The triangle fli
SCORPION-xisa [38]

Answer:

x = 3

Step-by-step explanation:

4 0
3 years ago
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What is half of 90 ?
Anna35 [415]

half means 2

90 divided by 2

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Answer: 45

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3 years ago
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Find the slope of the<br> line through the<br> points (1,-2) and (-7,4)
horrorfan [7]

Answer:

-3/4

Step-by-step explanation:

To find the slope, plug the coordinates into the slope formula.

y2 - y1 / x2 - x1

4 - (-2) / -7 - 1

6 / - 8

-3/4

6 0
3 years ago
21 = − 6 x − 3 x + 4 + 4 x
horsena [70]

Answer:

x=-17/5

Step-by-step explanation:

1. Simplify  -6x-3x+4+4x−6x−3x+4+4x  to  -5x+4−5x+4.

21=−5x+4

2. Subtract 44 from both sides.

21−4=−5x

3. Simplify  21-4 to 17.

17=-5x

4. Divided both sides by -5.

-17/5=x

5. Switch sides.

x=-17/5

Hope this helps.

4 0
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