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Kitty [74]
3 years ago
12

The pre-image point B(-4, 3) is translated to B'(-1, 1). What was the translation used?

Mathematics
1 answer:
Otrada [13]3 years ago
3 0
<span>(x + 3,y - 2)
</span>
=B'(-1, 1)
x = -4, y = 3
(x,y) 
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What is the midpoint and distance between points P(3,5) and Q(7,5)
storchak [24]

The formula of a midpoint:

M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points P(3, 5) and Q(7, 5). Substitute:

x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5

<h3>M(5, 5)</h3>

d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>
4 0
3 years ago
Wha is the nth term of 2 5 8 11 14
djyliett [7]
If you look at the sequence, you would observe:

5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.

There is a common difference of 3, so the sequence is an Arithmetic Progression.

nth term of an AP =   a + (n - 1)d

where a = 1st term = 2, d = common difference = 3

nth term of an AP =   a + (n - 1)d

nth term of an AP =   2 + (n - 1)*3 = 2 + 3*n  - 3*1 = 2 + 3n - 3

=  2 - 3 + 3n

= -1 + 3n

= 3n - 1

The nth term =  3n - 1,  where n = 1, 2, 3, 4, 5,....

I hope this explains it.
5 0
3 years ago
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