Answer:
On a coordinate plane, triangle A B C has points (4, 4), (7, 8), (10, 4). ... Hence, the scale factor is 2 and one-half( ).
Step-by-step explanation:
The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
Answer:
Step-by-step explanation:
Slope-intercept form is represented by the formula . So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:
So, the slope-intercept form is .
Answer:
LCM (8,10) = 2 × 2 × 2 × 5 = 40
Step-by-step explanation:
Least common multiple is the smallest number that is multiple of both the given numbers.
Example: LCM of 2 and 3 is 6 .
6 is a multiple of both 2 and 3 .
Given numbers are 8 and 10
First write both in factor form,
⇒ 8 = 2 × 2 × 2
⇒ 10 = 2 × 5
We find LCM by writing common terms one times and multiplying all terms together,
Here, 2 is common to both 8 and 10 so we write it once only.
Thus, LCM (8,10) = 2 × 2 × 2 × 5 = 40.
Answer:
64
Step-by-step explanation:
(3x+5)^2 = ax^2 +bx+c
FOIL the left side
(3x+5) (3x+5)
9x^2 +15x+15x+25
Combine like terms
9x^2 +30x+25
a=9
b= 30
c= 25
a+b+c = 9+30+25 = 64
Answer:
32 : 12 is the second equivalent ratio. = 48 : 18 is the third equivalent ratio. Therefore, the three equivalent ratios of 8 : 3 are 16 : 6, 32 : 12 and 48 : 18