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Dennis_Churaev [7]
3 years ago
13

Which rule describes a translation that is 3 units to the right and 5 units down?

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0
For this translation, you need to replace every occurrence of "x" with "x-3", and every occurrence of "y" with "y+5".
IrinaK [193]3 years ago
4 0

Answer:

(x,y)\rightarrow (x+3,y-5)

Step-by-step explanation:

In translation by a unit left,

The rule is,

(x,y)\rightarrow (x-a,y)

By a unit Right, rule is,

(x,y)\rightarrow (x+a,y)

By a unit up rule is,

(x,y)\rightarrow (x,y+a)

By a unit down, rule is,

(x,y)\rightarrow (x,y-a)

Hence, the rule describes a translation that is 3 units to the right and 5 units down is,

(x,y)\rightarrow (x+3,y-5)

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If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
6 0
3 years ago
Janet has a bag of marbles. The bag contains 10 blue, 5 green, and 1 orange marble. She will randomly select 1 marble from the b
Musya8 [376]

Answer:

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Step-by-step explanation:

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2 years ago
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A bag contains 12 counters. 7 of them are white. A counter is taken at random and not replaced. A second counter is taken out of
grandymaker [24]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ First calculate how many counters are 'not white'

12 - 7 = 5

We have 5 counters that are 'not white'

The probability of taking a white counter the first time is 7/12

For the next pick, there would be 1 less of the total counters as it is not being replaced

The probability of then taking a 'not white' counter is 5/11

The other way you could still get one white counter is:

The first counter (non white) probability would be 5/12

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Multiply these values:

7/12 x 5/11 = 35/132

5/12 x 7/11 = 35/132

Add these two values together:

35/132 + 35/132 = 70/132

Your answer is 70/132

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
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