At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak. After 6 hours there were only 5,
000 gallons of water remaining in his pool. Write an equation that describes the number of gallons of water as a function of the time the pool has been leaking.
y = -5,000x + 14,000
y = -1,500x + 14,000
y = -9,000x + 14,000
Is it possible for a vertical line to have a negative slope?
no
yes
y = -5,000x + 14,000
y = -1,500x + 14,000
y = -9,000x + 14,000
Is it possible for a vertical line to have a negative slope?
no
yes
2 answers:
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Answer:
Part 1)
Part 2)
Part 3) m∠K=61°
Part 4) m∠L=119°
Part 5) m∠M=61°
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
Part 1) Find the side MN
we know that
MN≅KL ----> by opposite sides
we have
therefore
Part 2) Find the side KN
we know that
KN≅LM ----> by opposite sides
we have
therefore
Part 3) Find the measure of angle K
we know that
m∠K+m∠N=180° ----> by consecutive interior angles
we have
m∠N=119°
substitute
m∠K+119°=180°
m∠K=180°-119°
m∠K=61°
Part 4) Find the measure of angle L
we know that
m∠L≅m∠N ----> by opposite angles
we have
m∠N=119°
therefore
m∠L=119°
Part 5) Find the measure of angle M
we know that
m∠M≅m∠K ----> by opposite angles
we have
m∠K=61°
therefore
m∠M=61°
To solve this problem you must apply the proccedure shown below:
1. You have the following equation of a parabola, given in the problem above:
x<span>=1/16y^2
2. Then, based on the graph attached, you have:
p=y^2/4x
p=8^2/(4)(4)
p=64/16
p=4
3. The directrix is:
directrix=h-p
directrix=0-4
directrix=-4
The answer is:-4</span>
1. You have the following equation of a parabola, given in the problem above:
x<span>=1/16y^2
2. Then, based on the graph attached, you have:
p=y^2/4x
p=8^2/(4)(4)
p=64/16
p=4
3. The directrix is:
directrix=h-p
directrix=0-4
directrix=-4
The answer is:-4</span>