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2 years ago

Im gonna sleep after this but for now Help ^^

Mathematics

2 answers:

Margaret [11]2 years ago

7 0

Answer:

Both prisms have the same volume.

Step-by-step explanation:

Volume of Naomi's Prism:

5 x 2 x 14 = 140 $cm^3$

Volume of Ben's Prism:

(5 x 4) / 2 x 14 = 10 x 14 = 140 $cm^3$

They therefore have the same volume.

vovangra [49]2 years ago

7 0

The prisms have the same volume

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Answer:

The given point A (6,13) lies on the equation. True

The given point B(21,33) lies on the equation. True

The given point C (99, 137) lies on the equation. True

Step-by-step explanation:

Here, the given equation is : $y =\frac{4}{3} x + 5$

Now,check the given equation for the given points.

1) A (6,13)

Substitute x = 6 in the given equation $y =\frac{4}{3} x + 5$

$y =\frac{4}{3} (6) + 5 = 4(2) + 5 = 8 + 5 = 13$

⇒ y= 13

Hence, the given point A (6,13) lies on the equation.

2) B (21,33)

Substitute x = 21 in the given equation $y =\frac{4}{3} x + 5$

$y =\frac{4}{3} (21) + 5 = 4(7) + 5 = 28 + 5 = 33$

⇒ y = 33

Hence, the given point B(21,33) lies on the equation.

3) C (99, 137)

Substitute x = 99 in the given equation $y =\frac{4}{3} x + 5$

$y =\frac{4}{3} (99) + 5 = 4(33) + 5 = 132 + 5 = 137$

⇒ y = 137

Hence, the given point C (99, 137) lies on the equation.

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