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Novay_Z [31]
3 years ago
14

What is the value of x in the equation 3x – y = 18, when y = 27?

Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0
3x-y=18, substitute y=27 then you get 3x-27=18., add 27 to each side to get x by itself, 3x=45, then divide by 3 and you get x=15
Effectus [21]3 years ago
4 0
<span>3x – y = 18
</span><span>3x – 27 = 18
</span><span>3x= 45
  x =15</span>
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Solve for x 3(x+2)+4=5x+7
GaryK [48]
Distribute: 3x+6+4=5x+7
Simplify: 3x+10=5x+7
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3 0
3 years ago
1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
3 years ago
the total charge for a yearly internet movie rental membership is $231.A registration fee of $15 is paid up front and the rest i
Flura [38]

New members pay a fee of $18 per month.

Step-by-step explanation:

Given,

Yearly movie rental cost = $231

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1 year = 12 months

Let,

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12x+15=231

12x=231-15\\12x=216

Dividing both sides by 12

\frac{12x}{12}=\frac{216}{12}\\x=18

New members pay a fee of $18 per month.

Keywords: subtraction, division

Learn more about division at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

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Answer:

not sure

Step-by-step explanation:

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 its b. hope this helps i guess
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