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3 years ago

Slope intercept of (6,-2) and (12,1)

Mathematics

1 answer:

charle [14.2K]3 years ago

4 0

First, lets solve for the slope (y2-y1/x2-x1).

= 1-(-2)/12-6

= 3/6

= 1/2

Second, find the y-intercept of the line.

y = 1/2x + b

-2 = 1/2(6) + b

-2 = 3 + b

-2 - 3 = 3 - 3 + b

-5 = b

Third, put this information into the final slope-intercept form equation (y = mx + b).

y = 1/2x - 5

Best of Luck!

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3 years ago

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Nostrana [21]

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:$

$A\approx 84.3\:\:\:$

Thus,

The Area of the Blue Pentagon = $A\approx 84.3\:\:\:$

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:$

$\:A\approx 27.5$

The Area of the Red Pentagon = $\:A\approx 27.5$

Conclusion:

The Perimeter of the Blue Pentagon = 35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon = 84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

$\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}$

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3 years ago

Paul and Jim work at a t-shirt factory. They pack t-shirts in boxes and send them

Gwar [14]

Answer:

Jim's box hold more t-shirts by 3 cubic feet

Step-by-step explanation:

Jim's box length = 2 feet

Jim's box breadth = 4 feet

Jim's box height = 6 feet

Volume of box = $Length \times Breadth \times Height = 2 \times 4 \times 6 = 48 feet^3$

Paul's box length = 3 feet

Paul's box breadth =5 feet

Paul's box height = 3 feet

Volume of box = $Length \times Breadth \times Height =3 \times 5 \times 3 = 45 feet^3$

So,Jim's box hold more t shirts by (48-45 = 3 cubic feet )

So, Option C is true

Jim's box hold more t-shirts by 3 cubic feet

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