2a+b=-7
5a+b=-13
b=-2a-7
5a-2a-7=-13
3a=-6
a=-2=first number
2(-2)+b=-7
-4+b+-7
b=-3=second
Hello!
The formula for volume of a rectangular prism is:
V = lwh
Let's convert the dimensions to decimals, and then use the formula to solve.
8 1/2 = 8.5 as a decimal.
7 = 7 as a decimal.
2 1/2 = 2.5 as a decimal.
Multiply:
V = 8.5 × 7 × 2.5
V = 59.5 × 2.5
V = 148.75
148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.
ANSWER:
The volume of the book is 148 3/4 inches cubed.
Answer:
The answer is D
Step-by-step explanation:
Plug any x value for the y values of f(x) and g(x)
Let's do 0 since it is easier.
f(x)=-2(0)-4=-4
g(x)=-2(0)+2=2
So, g(x) is 6 greater than f(x).
Thus, g is most likely moved 6 units up from f.
Graph the 2 functions on Desmos for a better picture.
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
Answer:
1. Option A
2. Option A
Step-by-step explanation:
1.
The independent variable is the one which affects the other variable. Here two variables "design of office space" and "control by managers" control the Productivity and well-being of the workers.
Hence, the independent variable is Control of the office manager
Option A
2. The dependent variable is the one which gets affected by the independent variable and in this case it is the Productivity and well-being of the workers.
Option A