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alekssr [168]
3 years ago
8

Type the correct answer in each box. A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius o

f the circle is units. The point (-7, ) lies on this circle.
Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

The circle has like an equation: (x+3)²+(y-2)²=r²

If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)

if x=-7 then (-7+3)²+(y-2)²=25 ==>  (y-2)²=25-16==>y=2+3 or y=2-3

The points (-7,5) and (-7,-1) are on the circle.

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What are the solutions to the equation x- 7/x = 6 ?
OLEGan [10]

Answer:none of these.

Try to substitute any of the given values for x and the result is false

Step-by-step explanation:

Try x=1. 1-7 -6. Divide that by 1 and you get -6 = 6. False!

To solve the given equation, multiply sides by x to cancel the denominator. You get x-7 = 6x then subtract x from both sides to get -7=5x. Divide both sides by 5 to get x= -7/5

But if the original equation has an x^2 somewhere, there will be a different set of solutions.

7 0
4 years ago
Read 2 more answers
A cone has a diameter of 18 units and a slant height of 15 units. Find the volume of the cone.​
Rasek [7]

Formula for volume:

πr^2(h/3)

Diameter divided by 2 is the radius

18/2 = 9

radius: 9 units

Use pythagorean theorem to find height

x^2 + 9^2 = 15^2

225 - 81 = 144

x^2 = 144

x = 12

height: 12 units

Plug these number in the volume formula.

Thus, it should be looking as:

π9^2(12/3) = 1017.88

Answer:

1017.88 units^3

6 0
3 years ago
A game night has 60 people. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people ar
Mashcka [7]
6 games of chess and 12 games of cribbage
6 0
3 years ago
A city has a 5% sales tax.
MAXImum [283]
Yes,
There is a direct proportional relationship
between the cost of items before tax and the
cost of items after tax.
5.0
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship
between the cost of items
before tax and the cost of items after
tax?
Proof
Yes, cost of items before tax is directly
proportional to cost of items after tax.
Reason
With the increase in the sales tax, there is
increase in the cost of items after tax, therefore,
there is a direct relation between cost of items
before tax and cost of items after tax.
8 0
2 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
9966 [12]

Answer:

<u>Use 2 points from he table to find the slope of f(x):</u>

  • (0, -1) and (1, 7)

<u>The slope is:</u>

  • m = (7 - (-1))/1 = 8

The y - intercept is b = -1 according to point (0, -1).

<h3>Part A</h3>

<u>The lines are:</u>

  • f(x) = 8x - 1
  • g(x) = 3x - 2

The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.

<h3>Part B</h3>

See above

8 0
3 years ago
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