The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
Learn more about scaling at:
#LearnwithBrainly
Answer:
The nth term of the sequence is
<h2>5 + 2n</h2>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 7
d = 9 - 7 = 2 or 11 - 9 = 2
So the nth term for the sequence is
A(n) = 7 + ( n - 1)2
= 7 + 2n - 2
<h3>A(n) = 5 + 2n</h3>
Hope this helps you
Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.
Step-by-step explanation:
Step 1:
In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.
We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.
Step 2:
The original photo was a 4-inch by 5-inch photo.
Option 1 is 7-inch by 9-inch, so the ratios are
The ratios are different so this cannot be the enlarged photo's dimensions.
Option 2 is 8-inch by 10-inch, so the ratios are
The ratios are the same so this can be the enlarged photo's dimensions.
Option 3 is 12-inch by 16-inch, so the ratios are
The ratios are different so this cannot be the enlarged photo's dimensions.
So the enlarged-photo with dimensions of 8-inch by 10-inch should be picked.
Four is IV which is half of five. IX is nine which is 2 thirds of 6 so... thirty-two is 1 5/6
