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FromTheMoon [43]
3 years ago
15

The Perpendicular to Parallels Theorem is based on

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0
Two lines that meet to form congruent adjacent angles.
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The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Fed [463]

Answer:   y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

  • Shift 4 units to the right
  • Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0
3 years ago
Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay
erma4kov [3.2K]

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

6 0
3 years ago
What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?
NikAS [45]
Formula of the sum of the 1st nth term in a Geometric Progression:


Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)


SUM = 716,144
3 0
3 years ago
HELP PLEASE! DELTA MATH! THANKS!
Eduardwww [97]

Answer:

11.5%

Step-by-step explanation:

hope this helps :))

5 0
2 years ago
Read 2 more answers
Three times a number added to six is equal to five times the same number.
NISA [10]
Here you go if you need help solving I’ve got you

7 0
3 years ago
Read 2 more answers
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