Answer:
HA = 16.2 m
DE = 17 m
Step-by-step explanation:
From the base of the cuboid, HDA will form a right angle triangle, where;
DA = 15 m
HA = 6 m
HA is the hypotenuse
Using pythagoras theorem;
HA = √(15² + 6²)
HA = √(225 + 36)
HA = √261
HA = 16.155 m
Approximating to 1 decimal place gives;
HA = 16.2 m
Similarly, HDE will also form a right angle triangle.
Thus;
DE = √((HD)² + (HE)²)
HD = 16.2 m
HE = 5 m
Thus;
DE = √(16.2² + 5²)
DE = 16.95 m
Approximating to 1 decimal place gives
DE = 17 m
Answer:
y= (x+5)^2 +7
Step-by-step explanation:
Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation:
Answer:
The difference quotient for 
is 
.
Step-by-step explanation:
The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by
So, for the function the difference quotient is:
To find 
, plug 
instead of 
Finally,
The difference quotient for is .
The answer is c because y=mx+b
