When it hits the ground, then h=0
find the xintercept or in this case the tintercepts
c=76
v=135
h=-16t^2+135t+76
use quadratic formula
ax^2+bx+c=0
x=

a=-16
b=135
c=76
x=

x=

x=

aprox
x=-0.5297 or 8.967
exclude the negative root since you can't have negative time
means that it takes 8.97 seconds to hit the ground
Total age
<span>6 * 27 </span>
<span>162 </span>
<span>Subtotal age of first 4 </span>
<span>4 * 23 </span>
<span>92 </span>
<span>Subtotal of last 3 </span>
<span>3 * 34 </span>
<span>102 </span>
<span>In the total of the first 4 and last 3 </span>
<span>the 4th person has been counted twice. </span>
<span>This second time must be subtracted. </span>
<span>Therefor </span>
<span>92 + 102 - x = 162 </span>
<span>194 - x = 162 </span>
<span>Subtract 194 from both sides </span>
<span>-x = -32 </span>
<span>Multiply both sides by -1 </span>
<span>x = 32
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Answer:
3(x+2)(x+8)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The lowest common denominator for 1/2 and 1/4 is also the lowest common multiple of 2 and 4. Since 4 is a multiple of 2, 4 itself is the lowest common multiple.
1/4 would remain, and 1/2 would be written as 2/4.
Answer:
ABCD is a parallelogram/Given
Line AB is parallel to line DC/Opposite sides of a parallelogram are equal
Line FD is congruent to Line FD/Reflexive property
Line BE is congruent to line BE/Reflexive property
Line AC is congruent to Line AC/Reflexive Property
Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem
Angle BCD is congruent to Angle FCE by Vertical Angles Theorem
Angle A is congruent to Angle BCD by Transitive Property