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irinina [24]
2 years ago
11

Find the distance between the points given. (-3, -6) and (3, 2)

Mathematics
1 answer:
vlada-n [284]2 years ago
5 0

Answer:

10 units

Step-by-step explanation:

Moving from (-3, -6) to (3, 2), x increases by 6.  Draw a triangle and use this 6 as the length of the base.  y increases by 8.  Label the height of the triangle with this 8.  Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:

6^2 + 8^2 = d^2, where d is that distance:

36 + 64 = 100 = d^2, and so d = 10.  The distance in question is 10 units.

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The graph of f(x) = 3.2x-3 is shown below. g(x) is a transformation of f(x).
WINSTONCH [101]

Answer:

  C.  g(x) = 3·2^x +2

Step-by-step explanation:

The graph of g(x) appears to be a translation upward of the graph of f(x).

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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)

  g(x) = f(x) +5

  g(x) = (3·2^x -3) +5

  g(x) = 3·2^x +2

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You can also determine the correct choice by looking at the value at x=0:

  A. g(0) = 3 +6 = 9

  B. g(0) = 1 +3 = 4

 C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph

  D. g(0) = 3

6 0
2 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
lidiya [134]
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3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br> |x = °|
Serga [27]
X+30+70=180
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8 0
3 years ago
Find the volume. Please help! Thanks!<br> hehe
sineoko [7]

Volume of a Square Pyramid: 1/3 x length x width x height

Length = 2

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Hope this helps!

8 0
1 year ago
What is the probability that the sun will rise tommorow?​
zvonat [6]

Answer:

100 percent the sun will rise tomorrow but who is to say you will get to see the sun tomorrow? who is to say you won't have a heart attack and die on this material planet tomorrow and won't get to see the sun rise. or what if the sun sends out a solar flare and burns everyone to a crisp and completely demolishes our ozone layer allowing oxygen to excrete from the planet and cooking everyone with solar radiation all at the same time catastrophic winds and earthquakes demolish the planet because of loss of pressure from the gravity field held in check by the oxygen that has left the planet from a destroyed ozone layer leaving everyone to suffocate and die and excruciating death therefore yes the sun will rise tomorrow but certain events are to unfold we could never prognosticate

Step-by-step explanation:

8 0
3 years ago
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