Answer:
40 mph
Step-by-step explanation:
If the speed increased by 20%, now the speed is 120% of the original speed.
48 mph is 120%, so dividing by 6 will get 8 which is 20%.
If 8 is 20%, you can multiply it by 5 to get 40, which is 100%. This means 40 mph is the original speed.
Hope this helps!
To find the value of x we need to use the INVERSE OPERATION of addition which is subtraction. Then we will check our work. lets do it:-
x + 19 = 13
x = ?
13 - 19 = x
<span>13 - 19 = -6</span>
x = - 6
CHECK OUR WORK:-
x + 19 = 13
x = -6
-6 + 19 = 13
We were RIGHT!!
So, x = -6
Hope I helped ya!! xD
Answer:
2x^2 -3x +10
Step-by-step explanation:
2(x^2 + 5) − 3(x + 1) + 3
Distribute
2x^2 +10 -3x -3 +3
Combine like terms
2x^2 -3x +10 -3+3
2x^2 -3x +10
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
