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scoray [572]
3 years ago
5

Plot the following points and find the area of the figure. (2,4); (-2,4); (-2,-4); (2,-4)

Mathematics
2 answers:
Ronch [10]3 years ago
7 0

Answer:

32

Step-by-step explanation:

the different x values are 4 apart and different  y values are 8 apart so 4*8=32

WITCHER [35]3 years ago
5 0

Answer:

32 units squared

Step-by-step explanation:

When we plot these points on the xy plane, we will see that it makes a rectangle with the dimensions 4 by 8.

The area of a rectangle is given by A=lw , where l is the length and w is the width. Here, l = 8 and w = 4. So: A = 8 * 4 = 32.

Thus, the answer is 32 units squared.

Hope this helps!

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Solving liner equations 2×- 19=30​
ivolga24 [154]

Answer:

x=24.5

Step-by-step explanation:

1. Add 19 to both sides.

2x=49

2. Divide both sides by 2.

x=24.5

3 0
3 years ago
The graph of y > 1 2 x - 2 is shown. Which set contains only points that satisfy the inequality? A) {(6, 1), (-1, -3), (4, 4)
Kaylis [27]

Answer:

Option B) {(1, -1), (-3, -3), (2, 4)}

Step-by-step explanation:

<u><em>The correct inequality is </em></u>

y>\frac{1}{2}x-2

The solution of the inequality is the shaded area above the dashed line y=\frac{1}{2}x-2

see the attached figure to better understand the problem

we know that

If a ordered pair satisfy the inequality, then the ordered pair must lie in the shaded area of the solution

<u><em>Verify each case</em></u>

case A) {(6, 1), (-1, -3), (4, 4)}

ordered pair (6,1)

For x=6, y=1

substitute in the inequality

1>\frac{1}{2}(6)-2

1>1 ---> is not true

therefore

The point not satisfy the inequality

case B)  {(1, -1), (-3, -3), (2, 4)}

ordered pair (1,-1)

For x=1, y=-1

substitute in the inequality

-1>\frac{1}{2}(1)-2

-1>-1.5 ---> is true

so

The point satisfy the inequality

ordered pair (-3,3)

For x=-3, y=3

substitute in the inequality

3>\frac{1}{2}(-3)-2

3>-3.5 ---> is true

so

The point satisfy the inequality

ordered pair (2,4)

For x=2, y=4

substitute in the inequality

4>\frac{1}{2}(2)-2

4>-1 ---> is true

so

The point satisfy the inequality

therefore

The set contains only points that satisfy the inequality

case C) {(1, -1), (-3, -3), (4, -2)}

ordered pair (4,-2)

For x=4, y=-2

substitute in the inequality

-2>\frac{1}{2}(4)-2

-2>0 ---> is not true

therefore

The point not satisfy the inequality

case D) {(-1, -3), (-3, -3), (2, 4)}

ordered pair (-1,-3)

For x=-1, y=-3

substitute in the inequality

-3>\frac{1}{2}(-1)-2

-3>-2.5 ---> is not true

therefore

The point not satisfy the inequality

4 0
3 years ago
Simplify <br> 3xy + 5x + 2 + 3y + x +4
lukranit [14]

Answer:

3xy+6x+3y+6

Step-by-step explanation:

This it simplified not ANSWERED

4 0
2 years ago
Read 2 more answers
A scientest is studying a new super bacteria that is threatening to cause an outbreak. On the first day, there were 5 organisms
ElenaW [278]

Answer:

C. 125

Step-by-step explanation:

Given:

Bacteria on day 1 = 5

On day 2, each bacteria got split into 5.

So, number of bacteria on day 2 = 5\times 5 = 25

Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.

So, number of of bacteria on day 3 = 25\times 5 =125

Therefore, the population of bacteria on day 3 is 125.

8 0
2 years ago
The standard form of the equation of a parabola is x-y^2+10y+22.what is the vertex form of the equation?
neonofarm [45]

x = y^2 + 10y + 22

Divide 10 by 2  to give 5  which  becaoses the second term in the parentheses

x = (y + 5)^2 - 25 + 22

x = (y + 5)^2 - 3   Answer.

4 0
2 years ago
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