Answer:
30cm^3
Step-by-step explanation:
Triangular Prism Volume Formula:
V = b x h
b = base
h = height
5 x 6 = 30
30cm^3
Next time, please include the instructions.
This inequality could be broken into two parts:
4m
m + 9 AND m + 9 > -9 + 4m
Focus first on the inequality m + 9 > -9 + 4m. subtract m from both sides, obtaining:
9 > -9 + 3m. Next, add 9 to both sides, obtaining: 18>3m, or m<6
Last step: Determine whether the inequality <span>4m≥m+9 is true if m<6.</span>
Answer:
Any equation of the line that is different from y=x is the solution to the problem.
Step-by-step explanation:
step 1
Find the slope of the line that passes through the points (1, 1) and (5, 5)
m=(5-1)/(5-1)=1
step 2
Find the equation of the line into slope point form
y-y1=m(x-x1)
we have m=1
(x1,y1)=(1,1)
substitute
y-1=(1)(x-1)
y=x-1+1
y=x
therefore
Any equation of the line that is different from y=x is the solution to the problem.
Answer:
-10
Step-by-step explanation:
22-12=10
CHECK:
-12+(-10)=-22 (correct, and proven)
Answer: Choice D) 5
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Notice the hole at (1,2). This means x = 1 and y = 2
y = f(x)
y = f(1) after we replace x with 1
y = 2
If we go from f(x) to f(x-4), then we shift the xy axis four units to the left. The curve will stay still though it will move relative to the xy axis. The xy axis moves four units to the left, so it appears that the curve moved 4 units to the right.
Add 4 to the x coordinate:
x = 1 ---> x+4 = 1+4 = 5
The y coordinate stays the same. No vertical shifting is done.
So we go from (1,2) to (5,2)
(1,2) is a hole on y = f(x)
(5,2) is a hole on y = f(x-4)
This is why the answer is x = 5
