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aivan3 [116]
3 years ago
12

4/5 equivalent fraction?

Mathematics
1 answer:
Grace [21]3 years ago
6 0
4/5 = 8/10 = 12/15 = 16/20 = 20/25
Hope it  helps
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A circle has a diameter with endpoints (-7, -1) and (-5, -9). What is the equation of the circle? r2 = (x + 6)2 + (y + 5)2 r2 =
Fantom [35]
Answer: (x + 6)² + (y + 5)² = 17

Explanation:

1)  The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5

Therefore, the center of the circle is (-6,-5)

3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68

⇒diameter = √68 = 2√17

⇒ radius = diamter / 2 = 2√17 / 2 = √17

4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17


8 0
3 years ago
The difference of two numbers is 7. Their sum is 41. What is the smaller number?
kicyunya [14]
17 is the smaller number.
EXPLANATION:

The numbers are 24 and 17.

Difference of 7? Check.

Sum of 41? Check.

BOOM magic
8 0
3 years ago
Find the missing angle
Mila [183]

Answer:

55 degrees

Step-by-step explanation:

All angles in a triangle must equal 180 degrees when added together

They provide you with 2 angles 35 degrees and 90 degrees

So, you add 35 + 90 = 125

So you know that the 2 angles they give you equal 125 degrees

Now, you subtract 180 - 125 = 55

So the missing angle is 55 degrees

8 0
3 years ago
Read 2 more answers
PLEASE HELP ILL GIVE A BRAINLIEST
zavuch27 [327]
Guessing you meant by a factor of 3... not 13 since none of the solutions are anywhere close to that.

to compress is to smoosh.
It's the equation of a line. If you smoosh it vertically the line becomes flatter and the slope smaller. 

Essentially g(x) = 3f(x)
3y = 12x + 6
y = (12/3)x + 6/3
y = 4x + 2

8 0
3 years ago
Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonome
ratelena [41]

Answer:

x = 0.175\cdot (1-\cos 4\cdot \theta)

Step-by-step explanation:

Let use the following trigonometric identities:

\sin^{2}\theta = \frac{1-\cos 2\cdot \theta}{2} \\\cos^{2}\theta = \frac{1+\cos 2\cdot \theta}{2}

Then, the equation is simplified by substituting its components:

x = 1.40\cdot \left(\frac{1-\cos 2\cdot \theta}{2}  \right)\cdot \left(\frac{1+\cos 2\cdot \theta}{2} \right)

x = 0.35\cdot (1-\cos^{2}2\cdot \theta)

x = 0.35\cdot \sin^{2}2\cdot \theta

x = 0.35\cdot \left(\frac{1-\cos 4\cdot \theta}{2}  \right)

x = 0.175\cdot (1-\cos 4\cdot \theta)

7 0
3 years ago
Read 2 more answers
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