True, because a parallelogram is a four-sided rectangular figure with opposite sides parallel. This is a way to describe a rectangle as well. The only difference is that rectangles must have 90 degree angles, but it is possible for a parallelogram to have 90 degree angles as well. This also means that all rectangles are technically parallelograms as well.

6 0

4 years ago

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Over what interval is the graph of f(x) = -(X + 8)2 - 1 decreasing?

Naddika [18.5K]

Answer:

Function is decreasing on (-8,infinity)

Step-by-step explanation:

The given function is $f(x)=-(x+8)^2-1$

The first derivative is given by

$f'(x)=-2(x+8)$

For the function to be decreasing, we have

$f'(x)$

Divide both sides by -2. Since, we are dividing by a negative number hence, the inequality sign will change.

$(x+8)>0$

Subtract 8 to both sides

$x>-8$

Therefore, the function is decreasing on (-8,infinity)

First option is correct.

7 0

4 years ago

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5 times a number is less than 2 times that same number minus 9, what must be the value of the number?

zzz [600]

EQUATION: 5x = 2x - 9
Add 9 to both sides
NEW EQUATION: 5x + 9 = 2x
Subtact 5x from both sides:
NEW EQUATION: 9 = -3x
Divide -x on bith sides
NEW EQUATION: -3 = x, or x=-3

5 0

4 years ago

Tom got 15 questions right on a test and scored 75%. How many questions were there total on Tom's test?

OverLord2011 [107]

Answer: 20 questions

Step-by-step explanation:

4 0

3 years ago

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