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kolezko [41]
3 years ago
10

M is the midpoint of CF (line over it) for the points C(3,4) and F(9,8). Find MF

Mathematics
1 answer:
elena55 [62]3 years ago
3 0
(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\(\frac{3 + 9}{2}, \frac{4 + 8}{2}) \\(\frac{12}{2}, \frac{12}{2}) \\(6, 6)

Midpoint of CF: (6, 6)
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Find an ordered pair x-2y=4​
Vesnalui [34]
Answer:

Step by Step:
x-2y=4
+2y +2y
x=-2y+4

x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y

x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4

y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)
5 0
2 years ago
Read 2 more answers
The circle below is centered at the point (4,3) and has a radius length 5. What is its equation
Crazy boy [7]
The equation of a circle centred at point (m,n) and radius r is given by

<span>(x-m)² + (y-n)² = r²
</span>-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!
3 0
2 years ago
Read 2 more answers
Which ordered pair in the form (x, y) is a solution of this equation?
laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 <u>not equal</u>

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 <u>equal</u>

6 0
2 years ago
Find the value of Y in the figure above .
Blizzard [7]

9514 1404 393

Answer:

  • x = 37
  • y = 22

Step-by-step explanation:

Consecutive interior angles are supplementary.

  (x -20)° +(4x +15)° = 180°

  5x = 185 . . . . . . . . . . . . . . divide by °, add 5

  x = 37 . . . . . . . . . . . . divide by 5

__

  74° +(5y -4)° = 180°

  5y = 110 . . . . . . . . . . . divide by °, subtract 70

  y = 22 . . . . . . . . . . divide by 5

3 0
3 years ago
A cylindrical bowl has a radius of 15cm. It is filled with water to a depth of 12cm. Work out the volume of water in the bowl. G
julsineya [31]
You use pi times radius squared. Pi 15 squared=706.858 then take 706.858 and multiply it by the depth of 12. 706.858×12=8482.3 Cm squared. 8482.3 cm to liters is about 8.5 liters
4 0
2 years ago
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