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marysya [2.9K]
3 years ago
5

A 17 foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the

shorter piece is x feet long, find the lengths of both pieces.
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

Shorter piece= 4 ft, longer piece= 13 ft

Step-by-step explanation:

If shorter piece is x

Longer pc is 2x + 5

Together they make 17 feet

So x + 2x + 5 = 17

3 x + 5 = 17

3x = 17 - 5 = 12

3x = 12

X = 12/ 3 = 4

So shorter pc is 4 feet

Longer pc is 2 x + 5

= (2 x 4) + 5

= 8 + 5 = 13

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3 years ago
The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
EleoNora [17]
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>
5 0
4 years ago
What is 6 qt 15 fl oz - 4 pt 4 fl oz =____pt____fl oz
yan [13]

Answer:

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Step-by-step explanation:

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3 years ago
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jeyben [28]
The x-intercept is when y=0, so we plug that in our equation,
0=-8x-12. +12 on both sides to get 12=-8x. Divide by -8 to get x=-1.5
8 0
3 years ago
10 points! + Brainly
Cerrena [4.2K]

Answer:

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175 -7

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finally the answer is 168

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3 years ago
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