Answer: D. Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Took the test.
Answer:
x=7
y=18
The length of each of the two shorter sides is 14.
The length of each of the two longer sides is 19.
Step-by-step explanation:
2x+5 = x+12 and y-4 = x+5
Solve for x first
2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.
2x-x = x-x+7 Subtract x from both sides to eliminate it.
x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.
y-4 = (7)+5
y-4 = 12
y-4+4 = 12+4 Add 4 to both sides to eliminate it.
y = 18
Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.
(18)-4=14 The length of each of the two shorter sides is 14.
2(7)+5=19 The length of each of the two longer sides is 19.
It equals 6 just put it like this: 6/1 nd then divide
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
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
