Answer:
The 4th term of the linear sequence = 3
Step-by-step explanation:
First term, a = -9
Common difference, d = -5 - (-9)
= -5 + 9
= 4
d = 4
The 4th term of the linear sequence = a + (n - 1)d
where,
n = 4
a + (n - 1)d
= -9 + (4 - 1)4
= -9 + (3)4
= -9 + 12
= 3
The 4th term of the linear sequence = 3
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Answer:
.2666667 or 26.66667%
Step-by-step explanation:
4/15 cant be simplified further. the denominator is divisible by 5 or 3, while the numerator is only divisible by 2. You can't make it smaller.
Answer:
170
Step-by-step explanation:
Add 160 and 45 and 125
Then subtract it to the total number of students
So 500 minus 330
You take 45,000 divided by .15= 30,000
30,000 it your answer
Hope this helps
