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SCORPION-xisa [38]
3 years ago
14

A ball is thrown into the air with an initial velocity of 22 meters per second. The quadratic function h(x)= -4.9t square +22t+5

.5 represents the height of the ball above the ground, in meters, with respect to time t, in seconds. Determine h(3) and explain what it represents
Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

Height of the ball after 3 seconds = 27.4 feet.

Step-by-step explanation:

h(t) = -4.9t^2 + 22t + 5.5

h(3) means the height of the ball at time 3 seconds after the ball was thrown.

h(3) = -4.9(3)^2 + 22(3) + 5.5

=  27.4 feet

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A line m is perpendicular to an angle bisector of ∠A. The sides of ∠A intersect this line m at points M and N. Prove that △AMN i
Ray Of Light [21]

Answer:


Step-by-step explanation:

<em><u>Given</u></em><u>:</u>       A line m is perpendicular to the angle bisector of ∠A. We call this  

                 intersecting point as D. Hence, in figure ∠ADM=∠ADN =90°.

                 AD is angle bisector of ∠A. Hence, ∠MAD=∠NAD.

<u><em>To Prove</em></u>:   <em><u>ΔAMN is an isosceles triangle. i.e any two sides in ΔAMN are</u></em>

<em>                    </em><em><u>equal. </u></em>

<em><u>Solution</u></em>:  Now, In ΔADM and ΔADN

                 ∠MAD=∠NAD     ...(1) (∵Given)

                  AD=AD                ...(2) (∵common side)

                  ∠ADM=∠ADN     ...(3) (∵Given)

                  <u><em> Hence, from equation (1),(2),(3) ΔADM ≅ ΔADN</em></u>

                                                         ( ∵ ASA  congruence rule)

                  ⇒<u><em> AM=AN</em></u>

                  Now, In Δ AMN

                 AM=AN (∵ Proved)

                  Hence, ΔAMN is an isosceles  triangle.


7 0
3 years ago
Find the missing coordinates y+7x=1<br><br> (-1, )<br> (4, )
Pachacha [2.7K]

Answer:

(-1,8)

(4,-27)

Step-by-step explanation:

y+7x=1

Let x = -1 and find y

y+7(-1)=1

y -7 =1

Add 7 to each side

y-7+7 = 1+7

y = 8

(-1,8)

Let x = 4 and find y

y+7(4)=1

y +28 =1

Subtract 28 from each side

y+28-28 = 1-28

y = -27

(4,-27)

6 0
3 years ago
How can I solve this does anyone knows?
Ipatiy [6.2K]
A. C = 17h + 15
b. 83 = 17h + 15 
    -15           - 15  subtract 15 from both sides 
    68 = 17h
    ------------
         17               divide both sides by 17
      4=h  
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c. C = 20x
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7 0
4 years ago
Read 2 more answers
Which expression can be substituted for y in the top equation of the
maria [59]

Answer:

Y=7+3x, x=-3, y=-2

Step-by-step explanation:

3x-5y=1. Equation 1

3x-y=-7. Equation 2

-y=-7-3x isolate for y in equation 2

y=7+3x multiplied by -1 to get positive y

3x-5(7+3x)=1 substitute y value of equation 2 (7+3x) into equation 1

3x-35-15x=1

-12x=36

x=-3

solve for y.

3x-5y=1

3(-3)-5y=1

-9-5y=1

-5y=10

y=-2

6 0
3 years ago
Beth said that g(x)=f(x)=x²-12 is a horizontal translation of f(x)=x² . Find and fix the errors and write the correct equation f
gtnhenbr [62]

Answer:

Step-by-step explanation:

it is a vertical translation.

for horizontal translation

f(x)=(x-12)²

8 0
3 years ago
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