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3 years ago

Determine A ÷ B, where A = 62x – 100 and B = 2x – 3.

Mathematics

1 answer:

solong [7]3 years ago

4 0

Answer:

60x-97

Step-by-step explanation:

The question is not properly written. Here is the correct question.

Determine A - B, where A = 62x – 100 and B = 2x – 3.

Given

A = 62x – 100 and

B = 2x – 3.

Required

A-B

A-B = 62x-100-(2x-3)

Open the parenthesis

A-B = 62x-100-2x+3

Collect like terms

A-B = 62x-2x-100+3

A-B = (62x-2x)-(100-3)

A-B = 60x-97

Therefore the expression for A-B is 60x-97

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Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (-2, 2). Lines QR and ST are (4 points)

Inessa [10]

Slope formula:
m = y2 - y1 / x2 - x1

Line QR: (2,8) (3,10)
m = 10 - 8 / 3 - 2 = 2 / 1 = 2

Line ST: (0,6) (-2,2)
m = 2 - 6 / -2 - 0 = -4/-2 = 2

<span>c. parallel because the slopes are the same</span>

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3 years ago

the perimeter of the floor of a room is 18 metre and its height is 3 cm what is the area of 4 walls of the room

Lina20 [59]

Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.

Given:

Perimeter of the floor of a room = 18 metre

Height of the room = 3 metre

To find:

The area of 4 walls of the room.

Solution:

We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.

The curved surface area of the cuboid is

$C.S.A.=2h(l+b)$

Where, h is height, l is length and b is breadth.

Perimeter of the rectangular base is 2(l+b). So,

$C.S.A.=\text{Perimeter of the base} \times h$

Putting the given values, we get

$C.S.A.=18\times 3$

$C.S.A.=54$

Therefore, the area of 4 walls of the room is 54 sq. metres.

7 0

3 years ago

Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.

Nastasia [14]

$\bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})$

$\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}$

7 0

2 years ago

Read 2 more answers

I need help with this work

STatiana [176]

Answer:

G. 245.04cm²

Step-by-step explanation:

The shortest way to solve this problem would be:

total surface area = 2 * π * r² + (2 * π * r) * h

total surface area = 2 * π * r * (r + h).

Diameter = 6

Radius = 3

Height = 10

The radius is half the diameter

TSA = Total surface area

TSA = 2 π 3(3+10)

TSA = (2)(3.141593)(3)(3+10)

TSA = (6.283185)(3)(3+10)

TSA = 18.849556(3+10)

TSA = (18.849556)(13)

TSA = 245.044227

TSA = 245.04

Or you could do the longer way, which would be:

Step 1: Find the surface area of the curved part of the cylinder

Surface Area (Curved) = 2 x π x Radius x Height

Step 2: Find the surface area of the two ends of the cylinder

Surface Area (Ends) = 2 x π x Radius²

Step 3: Add the surface are of the curved part to the surface area of the ends

Surface Area (Total) = Surface Area (Curved) + Surface Area (Ends)

For the cylinder in the picture:

A cylinder has a height of 10 and a diameter of 6

Hence, Radius = d/2 = 6/2 = 3 cm

Surface Area (Curved) = 2 x pi x 3 x 10

Surface Area (Curved) = 188.495559

Surface Area (Ends) = 2 x pi x 3²

Surface Area (Ends) = 2 x pi x 25

Surface Area (Ends) = 56.548668

Surface Area (Total) = 245.044227

245.04 is the result of rounding 245.044227 to the nearest hundredth

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2 years ago

Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his

Zolol [24]

The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,
A = 0.5(15 m + 19 m)(10 m)
A = 170 m²
The area of the garden is 170 m².

7 0

3 years ago

Read 2 more answers