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3 years ago

Use the figure to answer the questions below.

Mathematics

1 answer:

alina1380 [7]3 years ago

5 0

Answer:

parallelogram
x = 5
60 units

Step-by-step explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

B. Diagonals of a parallelogram cross at their midpoints, so ...

9x +3 = 10x -2

5 = x . . . . . . . . add 2-9x to both sides

C. The longer side is 12x = 12(5) = 60 . . . . units

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Twice the difference of a number and 9 is 5 Use the variable c for the unknown number.

Leya [2.2K]

Answer:

C = 11.5

Step-by-step explanation:

1. (c - 9) 2 = 5

2. 2c - 18 = 5

3. 2c = 23

4. c = 11.5

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3 years ago

Nick currently has 7,200 points in his fantasy baseball league, which is 20% points than Adam. How many points does Adam have?

Dovator [93]

Heya!!!

Answer to your question:

Let Adam's points be x.

Nick has points =7200=20%of x+x

20/100 *x + x=7200

x/5 +x=7200

6x/5=7200

x= 7200*5/6

x=6000

Adam has 6,000 points.

Hope it helps *_*

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3 years ago

A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o

SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

Part B

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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2 years ago

What is the justification for each step in the solution of the equation?

Alexandra [31]

For this case we have the following equation:

$\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\$