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grigory [225]
2 years ago
9

Syyshshdhehqvswwpwurxwittau

Mathematics
1 answer:
OlgaM077 [116]2 years ago
5 0

Step-by-step explanation:

the picture isn't realistic but mathematically it's:

1) = 121°

2) = 59°

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The image of F(-5,-9) after translating along <4, 6 > and then translating along < 3, 5> is? F’(?,?)
dusya [7]
<h3>Answer:  (2, 2)</h3>

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

Explanation:

The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"

In general, "translated along <m,n>" is the same as writing (x,y) \to (x+m, y+n). If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.

-------------

With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.

We can say

(x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\

Showing that (-5,-9) moves to (-1,-3)

This is after the first translation, but there's a second translation.

We'll apply the same idea, but different numbers this time

(x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\

So (-1,-3) moves to (2,2)

Overall we have

  • (-5,-9) move to (-1,-3) after the first translation
  • (-1,-3) move to (2,2) after the second translation

Therefore, the original point ends up at (2,2) which is the final answer

--------------

Extra info:

A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.

5 0
3 years ago
Three different golfers played a different number of holes today. Rory played 9 holes and had a total of 42 strokes. Jordan play
stiv31 [10]
Okay so for each person we're pretty much gonna have to find the value of strokes over holes.
Rory: 42 strokes per 9 holes
Jordan: 79 strokes per 18 holes
Ricky: 123 strokes per 27 holes

Now, we can do the division for each person and round. But first, I'll say stokes per hole is s/h. Just feed each number into a calculator like this: <em>per </em>means divide.

Rory: 4.66667 s/h
Jordan: 4.38889 s/h
Ricky: 4.55556 s/h
Well, Jordan had the lowest number of strokes per hole since his value is the smallest.

Answer: Jordan
7 0
3 years ago
Read 2 more answers
Jimmy’s dad gave him $100 on his birthday, which is January 1. Jimmy deposited the $100 in his savings account the same day. At
aliya0001 [1]
$300 every month beginning Feb 1st until the month of June = $1800
5 0
3 years ago
3t + 5sqrt(t) - 2 = 0 solve by using substitution
notsponge [240]

Answer:

The answer is t=1/9

Step-by-step explanation:

If we substitute sqrt(t) = u, then we can write the equation as 3u^2+5u-2=0.

Using the <em>quadratic formula</em>, we can solve that <u>u = 1/3 and u = -2.</u>

We can go back to our original substitution and say that <em>sqrt(t) = 1/3</em>. The sqrt(t) can not be -2 because a <u>square root can not be negative.</u>

If we solve the equation sqrt(t) = 1/3, we get that t=1/9.

3 0
3 years ago
Read 2 more answers
Write the exact value of 0.428x2.75
bonufazy [111]

the exact value of 0.428x2.75 is 1.177, in order to get this you multiply both number with each other.

6 0
3 years ago
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