Answer: 6
Step-by-step explanation: The absolute value of -3 is 3 and the opposite of -3 is 3. That means 3 + 3 = 6.
Answer:
f(x) = 7/(x+3) -38/(x+3)²
Step-by-step explanation:
The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.
You can start with the form ...
... f(x) = B/(x+3) + A/(x+3)²
and write this sum as ...
... f(x) = (Bx +3B +A)/(x+3)²
Equating coefficients gives ...
... Bx = 7x . . . . . B = 7
... 3B +A = -17 . . . . the constant term
... 21 +A = -17 . . . . filling in the value of B
... A = -38 . . . . . . . subtract 21 to find A
Now, we know ...
... f(x) = 7/(x+3) -38/(x+3)²
Answer:
They are congruent by SAS (Side Angle SIde) test or congruence criterion
Since,
In triangle ABD and triangle BCD
AB = BC (Given)
BD = DB(Common Side)
Angle ABD = Angle CBD
Therefore triangle ABD and triangle BCD by SAS (Side Angle SIde) test or congruence criterion
Answer:
C. 28 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid:
V = 
, where B = the area of the base and h = height of the pyramid
Since the base is a rectangle, we can find area using the formula:
A = l x w or A = 3 x 4 = 12 ft²
Using B = 12 and h = 7:
V = 
V = 28 ft³
