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3 years ago

Which of the following equations have infinitely many solutions?

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

Answer:

Step-by-step explanation:

A. 6x + 35 = - 6x - 35,

12x = - 70

x = - 70/12

B. - 6x + 35 = - 6x + 35

- 6x + 6x = 35 - 35

0 = 0 infinitely many solutions

C. 6x+35= - 6x+35

12x = 0

x = 0

D. -6x+35= - 6x-35

- 6x + 6x = - 35 - 35

0 = - 70 false, no solutions

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The grandson is 9 years old.

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The table is missing in the question. The table is attached below.

Solution :

Let X = appraised value

Y = area (square feet)

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3 years ago

Find the area of the irregular figure. Round to the nearest hundredth.

RSB [31]

Answer:

$67.5\text{ [square units]}$

Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

<u>Formulas</u>:

Area of rectangle with base $b$ and height $h$ : $A=bh$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is $A=10\cdot 5=50$ .

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 2\cdot 5=5$ .

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 5\cdot 5=12.5$ .

Thus, the area of the total irregular figure is:

$50+5+12.5=\boxed{67.5\text{ [square units]}}$

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