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3 years ago

X = -6 + y X - 3y = 28

Mathematics

1 answer:

Darya [45]3 years ago

4 0

Y = -17
x= -23

hope this helps!!

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-3/2 = x + c

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3 years ago

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Simplify the expression -4-6(7-3)

alexandr1967 [171]

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1) Distribute the -6 to the parentheses

-4 - (6*7) - (-6*3)

2) Simplify

-4 - 42 + 18

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A plane is already 44 cm tall and it will grow in one centimeter every month let H be the plants height in centimeters after M m

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3 years ago

The figure is made up of a cylinder and a cone. What is the volume of the composite figure? Use 3.14 for Pi. Round to the neares

Delvig [45]

Answer:

The volume of figure is 310.86 cm³

Step-by-step explanation:

First, you have to calculate the volume of cone and cylinder seperately by applying the formulas :

Cone,

$v = \frac{1}{3} \times \pi \times {r}^{2} \times h$

$let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 9$

$v = \frac{1}{3} \times 3.14 \times {3}^{2} \times 9$

$v = 84.78 \: {cm}^{3}$

Cylinder,

$v = \pi \times {r}^{2} \times h$

$let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 8$

$v = 3.14 \times {3}^{2} \times 8$

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Next, you have to add up both volumes as the figure are made from cone and cylinder :

$v = 84.78 + 226.08$

$v = 310.86 \: {cm}^{3}$

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3 years ago

Write an inequality to describe the region. The solid upper hemisphere of the sphere of radius 5 centered at the origin

dusya [7]

Answer:

$x^2 + y^2 + z^2 \le 25$ for $z \ge 0$

Step-by-step explanation:

Given

$r = 5$ --- radius

Required

Determine the inequality of the region

The inequality of a region of a sphere is determined using:

$x^2 + y^2 + z^2 \le r^2$

Substitute 5 for r

$x^2 + y^2 + z^2 \le 5^2$

$x^2 + y^2 + z^2 \le 25$

Solving further: <em>The question says only the upper hemisphere is considered.</em>

This implies that:

$z \ge 0$

<em>So, the equation is:</em>

$x^2 + y^2 + z^2 \le 25$

$z \ge 0$

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3 years ago