Answer:
Step-by-step explanation:
Shobo's age = x years
His mother's age = 6 times of
Shobo's age
= 6x years
Five years from now
________________
Shobo's age = ( x + 5 ) years
According to the problem given,
x + 5 = one by third of his mother's
present age
x + 5 = 6x / 3
x + 5 = 2x
5 = 2x - x
5 = x
Therefore ,
Shobo's present age = x = 5 years
His mother's age = 6x
= 6 × 5
= 30 years
Answer:
Length of the rectangle is = 8 inches.
Step-by-step explanation:
Given :
Area of square = Area of the rectangle
According to the question:
Length of the square be 'x'.
Its area = (Side)*(Side) =
...equation (i)
Length of the rectangle = 
Width of the rectangle = 
Area of the rectangle =Length * Width
⇒
⇒
...equation (ii)
Equating both the equation as area of both the figure are equal.
⇒ 
⇒
...subtracting
both sides
⇒
...dividing both sides with 2
⇒
inches
Plugging the value of x=4 in the length of the rectangle.
We have,
⇒
So the length of the rectangle = 8 inches.
Change in altitude:
42,000 - 18,000 = 24,000 feet
Rate of change = 24,000 feet / 12 minutes = 2,000 feet per minute
Because the plane was going down, the rate of change would be negative.
The rate would be -2,000 feet per minute.
Answer: according to spark notes: There can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
In this case it is 0, not 2, which was my first and wrong answer
Answer:

Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula

From the question we have the final answer as

Hope this helps you