Answer:
Third option is correct. Scale factor 3 ; enlargement.
Step-by-step explanation:
It is given that the figure A'B'C'D' is a dilation of figure ABCD.
We know that after dilation the corresponding sides of image and preimage are in the same proportion.
The image of AD is A'D'.
From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).
Distance formula is
Scale factor is constant which represents the relation between image and preimage.
Therefore the scale factor is 3.
If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.
Answer:
The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.
Step-by-step explanation:
However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
Answer: a. OHeight = 2 x radius
Step-by-step explanation:
Answer:
Rewrite the function in vertex form,y = (a - h)² + k, and identify the coordinates of the vertex and equation of axis of symmetry.Show Work y = -3x² - 24x - 50
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Sum the parts of the ratio, 5 + 9 + 13 = 27 parts
Divide the amount of concrete by 27 to find the value of one part of the ratio.
324 ÷ 27 = 12 ← value of 1 part of the ratio , thus
5 parts = 5 × 12 = 60 ← cement
9 parts = 9 × 12 = 108 ← sand
13 parts = 13 × 12 = 156 ← gravel
