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3 years ago

Solve -19 - m = 8 + 8m

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer:

m = -3

Step-by-step explanation:

−m − 19 = 8m + 8 (Simplify equation)

−9m − 19 = 8 (Subtract 8m from both sides)

−9m = 27 (Add 19 to both sides)

m = -3 (Divide both sides by -9)

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Find the required measurements of the following trapezoids. b1 = 12 cm b2 = 16 cm h = 9 cm. Compute the area. ? cm2

Nastasia [14]

Area= (b1+b2)/h
= (12+16)/9
= 28/9 = 3.111

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3 years ago

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identify an equation in point slope form for the line perpendicular to y=-4x-1 that passes through (-2,7)

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m = 1/4 and the line eq. is

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3 years ago

A container is shaped like a triangle prism. Each base of container is an equilateral triangle with the dimensions shown. The co

Aleks04 [339]

Answer:

$\text{Lateral surface area of container}=270\text{ cm}^2$

Step-by-step explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

$\text{Lateral surface area of triangular prism}=(a+b+c)*h$ , where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

$\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}$

$\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}$

$\text{Lateral surface area of container}=270\text{ cm}^2$

Therefore, lateral surface area of our given container is 270 square cm.

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3 years ago

What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10?

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Here is the answer, I think.

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4 years ago

A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.

Ne4ueva [31]

9203 cm3
Step-by-step explanation:
A globe of the moon has a radius of 13
centimeters. Find the volume of the globe.
Round your answer to the nearest whole
number.
The shape of the moon is spherical
Hence:
The volume of a sphere
= 4/3 x IT X p3
r
= radius = 13 cm
= 4/3 × IT × 133
=9202.77 cm3
Approximately to the nearest whole number
= 9203 cm3
Therefore, the volume of the globe is 9203
cm3

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3 years ago