Answer:
3
Step-by-step explanation:
5x=15
x=3
Answer:
hard question
Step-by-step explanation:
Answer:
lal lesthan or equal to 5
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Answer:the number of gallons of water left in the tub after it has drained for x minutes is 300 - 8x
Step-by-step explanation:
A hot tub that holds 300 gallons of water drains at a rate of 8 gallons.
Let x represent the number of minutes for which the hot tub has drained water.
If the hot tub drains 8 gallons of water per minute, it means that in x minutes, the number of gallons of water that the hot tub would have drained is 8x
Therefore, the number of gallons of water left in the tub after it has drained for x minutes would be
300 - 8x
