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3 years ago

Apply the distributive property to create an equivalent expression. (m−3+4n)⋅(−8)

Mathematics

1 answer:

Sindrei [870]3 years ago

7 0

Answer:

Step-by-step explanation:

The distributive property:

$a(b+c)=ab+ac$

$(m-3+4n)(-8)=(m)(-8)+(-3)(-8)+(4n)(-8)\\\\=-8m+24-32n$

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Find the surface area of the composite solid.

Westkost [7]

We have:

4 triangles with the base b = 5ft and the height h = 6ft

4 rectangles with the lenght l = 5ft and the width w = 4ft

1 square with side a = 5ft.

The formula of an area of a riangle:

$A_T=\dfrac{1}{2}bh$

Substitute:

$A_T=\dfrac{1}{2}(5)(6)=\dfrac{1}{2}(30)=15\ ft^2$

The formula of an area of a rectangle:

$A_R=lw$

Substitute:

$A_R=(5)(4)=20\ ft^2$

The formula of an area of a square:

$A_S=a^2$

Substitute:

$A_S=5^2=25\ ft^2$

The Surface Area of composite solid:

$SA=4A_T+4A_R+A_S$

Substitute:

$SA=4(15)+4(20)+25=60+80+25=165\ ft^2$

<h3>Answer: The Surface Area of the composite solid is 165 ft².</h3>

3 0

3 years ago

Henry bought 2 kilograms of chicken for a family dinner. After, only 61.5 grams were left. How much chicken was eaten, in kilogr

ASHA 777 [7]

He still has 1938.5 kilograms of chicken left. Hope it helped.

5 0

3 years ago

Read 2 more answers

(197)^2-(97)^2 evaluate without using calculator or table<br>

Bezzdna [24]

Answer:

29400

Step-by-step explanation:

$formula: \\ {a}^{2} - {b}^{2} = (a + b)(a - b) \\ ( {197)}^{2} - ( {97)}^{2} \\ = (197 + 97)(197 - 97) \\ = 294 \times 100 \\ = 29400 \\$

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3 years ago

The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?

Digiron [165]

Step-by-step explanation:

$Slope \: of \: AB = \frac{1 - 1}{7 - 2} = \frac{0}{5} = 0 \\ \\ Slope \: of \: BC = \frac{4 - 1}{2 - 7} = \frac{3}{ - 5} = - \frac{3}{ 5} \\ \\ \because \: Slope \: of \: AB \neq \: Slope \: of \: BC \\ \\ \therefore \: given \: points \: are \: non - collinear. \\$