Answer: (–9, 9)
Step-by-step explanation:
if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then
The coordinates of the image point are (kx, ky).
Given: The coordinates of line segment A B are A(-6,8) and B(-3,3).
then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,
Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).
Answer:
0.405768
Step-by-step explanation:
<span>You have not added the options, therefore, I cannot provide an exact answer. However, I can help you with the concept.
In any fraction, the <u>denominator cannot be equal to zero</u> because this would make the fraction <u>undefined</u>.
<u>Excluded values</u> are the values that would make the denominator equal to zero.
We are given that the excluded values are 2 and 5, this means that the factors of the denominator are (x-2) and (x-5)
This means that the denominator is x</span>²<span> - 7x + 10
Pick the fraction which has this denominator.
Hope this helps :)</span>
This question is incomplete
Complete Question
A right rectangular prism with dimensions 1 5/8 inches by 1 1/2 inches by 1 3/8 inches is made up of small cubes with side lengths of 1/8 inch. How many 1/8 inch cubes make up the right rectangular prism?
a) 429
b) 858
c) 1287
d) 1716
Answer:
d) 1716 cubes
Step-by-step explanation:
Step 1
Find the volume of the rectangular the rectangular prism
Volume = Length × Width × Height
Length = 1 5/8 inches
Width = 1 1/2 inches
Height = 1 3/8 inches
Hence, Volume = 1 5/8 inches × 1 1/2 inches × 1 3/8 inches
= 13/8 inches × 3/2 inches × 11/8 inches
= 429/128 cubic inches
Step 2
We find the volume of 1 cube
Volume = (side length)³
= (1/8 Inches)³
= 1/8 × 1/8 × 1/8
=1/512 cubic inches
From the above question
The number of 1/8 inch cubes make up the right rectangular prism is calculated as:
= Volume of right rectangular prism ÷ Volume of 1 cube
(429/128)cubic inches ÷ (1/512) cubic inches
= 429/128 × 512/1
= 429 × 4
= 1716 cubes
Therefore, the number of cubes in the rectangular prism is 1716 cubes.