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antiseptic1488 [7]
3 years ago
15

What is the value of x in the circle to the right?

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

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Which expression is equivalent to sin^2x-sin x-2/sin x-2
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Post the problem from the paper
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(Statistics) A local gym collects data on the number of memberships it sold in each month last year compared to the number sold
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Answer:

Determine the proportion of months where memberships sold decreases,

increases and remained the same.

Step-by-step explanation:

I just took the test and got it correct.

6 0
3 years ago
9a + 18c. What is the value of the expression when a = −5 and c = −1?
saw5 [17]
1. plug in the numbers for the variables, like this: 9(-5)+18(-1)

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Hopefully this helps! Let me know if you need more explanation.
4 0
3 years ago
1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

3 0
3 years ago
Read 2 more answers
Find<br> the<br> Inverse<br> y = x+10/7
Alona [7]

Answer:

x - \frac{10}{7}

Step-by-step explanation:

y = x + 10/7

x = y + 10/7

x = y + 10/7

x - 10/7 = y

y = x - 10/7

x - \frac{10}{7}

3 0
3 years ago
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