Answer:
8 (7 + 4) = 56 + 32
Step-by-step explanation:
Greatest common factor of 56 & 32 is 8
8 x 7 = 56
8 x 4 = 32
8 (7 + 4 )
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
= 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
= 16 miles per hour
Answer:
B. The graph will be compressed vertically.
Step-by-step explanation:
The given function is f (x) = x²
The new function is f 1 (x) = 1/4 x².
The general function of the form is f(x) = a · x²
i) If |a| < 1 the graph is compressed vertically by a factor of a.
ii) If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/4 < 1
Answer:
B. The graph will be compressed vertically.
Hope this will helpful.
Thank you.
Answer:
A) A = X^2 + 11X + 24
B) X = 18 ft
C) 414 ft^2
D) 132 ft^2
Step-by-step explanation:
A) Width W of yard and path = X + 3
Lenght L of path = X + 5 + 3 = X + 8 ft, therefore,
Area of yard and path = L x W = (X +3) x (X +8)
A = X^2 + 11X + 24
B) if area of the yard and path is 546 ft^2,
546 = X^2 + 11X + 24
X^2 +115X - 522 = 0 (quadratic equation)
Solving the quadratic equation gives
X = 18 and X = -29
Our answer can only be positive so we choose X = 18 ft
C) lenght of yard = 5 + 18 = 23 ft
Width = 18 ft
Therefore area = L x W = 23 x 18 = 414 ft^2
D) area of path = area of path and yard minus area of yard
= 546 - 414 = 132 ft^2
