Answer:
It is: -5x^2 + x - 12 = 0
Step-by-step explanation:
Answer: 26 years.
Step-by-step explanation:
Let x = current age of Louise (in years).
Then current age of James = x+6
Eight years from now, James's age = x+6+8= x+14
4 years ago, Louise's age = x-4
According to the question
x+14 = 4(x-4)
⇒ x+14 = 4x-16
⇒ 4x-x = 16+14
⇒ 3x = 30
⇒ x= 10 = current age of Louise (in years).
current age of James = 10+6 = 16 years
Sum of current ages = 16+10=26 years.
hence, the sum of the current ages is 26 years.
Answer:
1 and 17/25
Step-by-step explanation:
First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.
(hope this helps :P)
Answer:
The approximate distance is 15416 miles....
Step-by-step explanation:
We have given:
A satellite is 19,000 miles from the horizon of earth.
The radius is 4,000 miles.
Lets say that BC =x
AO = OB = 4,000 miles
AC = 19,000 miles
The tangent from the external point forms right angle with the radius of the circle.
So in ΔABC
(OC)² = (AC)²+(OA)²
where OC = x+4000
AC = 19,000
OA = 4000
Therefore,
(x+4000)² = (19,000)² +(4,000)²
Take square root at both sides:
√(x+4000)² = √(19,000)² +(4,000)²
x+4000 =√361000000+16000000
x+4000 = √377000000
x+4000 = 19416.48
x= 19416.48 - 4000
x = 15416.48
Therefore the approximate distance is 15416 miles....
