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Over [174]
4 years ago
14

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

Mathematics
1 answer:
Tomtit [17]4 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

The given equations are

3A-B=5

2A+3B=-4

We need  isolate one of the variables, such that it appears by itself on one side of the equation.

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.

The equation is

3A-B=5

Subtract 3A from both sides.

-B=5-3A

Multiply both sides by -1.

B=3A-5

Therefore, the correct option is C.

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Ce no
xenn [34]

Answer:

The height of the seat at point B above the ground is approximately 218.5 feet

Step-by-step explanation:

The given parameters are;

The radius of the Ferris wheel, r = 125 feet

The angle between each seat, θ = 36°

The height of the Ferris wheel above the ground = 20 feet

Therefore, we have;

The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel

∴ The height of the midline = 20 feet + 125 feet = 145 feet

The height of the seat at point B above the ground, h = r × sin(θ) + D

By substitution, we have;

h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)

The height of the seat at point B above the ground, h ≈ 218.5 feet.

8 0
3 years ago
Compute the requested average.
AnnZ [28]
230.83 is your answer
5 0
3 years ago
Find the dimensions of a rectangle whose area is 180 cm2 and whose perimeter is 54cm
IgorLugansk [536]

Answer:

{12,15}

Step-by-step explanation:

54 = 2(L + W)

27 = L + W

27 - L = W

LW = 180

L(27 - L) = 180

27L - L2 = 180

0 = L2 - 27L + 180                FOIL

0 = (L - 12)(L - 15)

{12, 15}

5 0
3 years ago
Previous 20 Item 20 The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of
zimovet [89]
Answer: A=60 square feet

Explanation: w=10*0.6=6 ft.

A=lw

A=10*6=60 square feet.
4 0
3 years ago
Read 2 more answers
Choose the equation of the line through (4, –5) and perpendicular to 6x + 12y = 13.
saw5 [17]

Answer:

Kotz I don’t know the answer because I’m to lazy to do it - but I need to talk to you again... it’s me Ellis - you don’t have to rejoin the server but message me 503 333 0177.

Step-by-step explanation:

5 0
3 years ago
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