The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).

Slope (m) = 
<u>To find the missing coordinate r:</u>
Slope formula:

Substitute the given values in the formula.



Do cross multiplication.

40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.
Answer:
The values of given function are shown in the below table.
Step-by-step explanation:
The given function is

Simplify the given function.



Cancel out the common factor.

Substitute x=5.5 in the above equation.




Similarly find the value for all values of x.
The values of given function are shown in the below table.
Answer:
1. Translate circle A using the rule (x − 3, y + 4).
4. Dilate circle A by a scale factor of 5
Step-by-step explanation:
we know that
All circles are similar figures
step 1
Translate the center of circle A to the center of circle B
we have
A(2,8) -----> B(5,4)
so
The rule of the translation is
(x,y) ----> (x+a,y+b)
(2,8) ----> (2+a,8+b)
2+a=5 ----> a=5-2=3
8+b=4 ---> b=4-8=-4
therefore
The rule of the translation is
(x,y) ----> (x+3,y-4)
step 2
Divide the radius of circle B to the radius of circle A to find out the scale factor
10/2=5
so
Multiply the radius of circle A by the scale factor to obtain the radius of circle B
therefore
Dilate circle A by a scale factor of 5
Answer:
12
Step-by-step explanation:
The given ratio is ...
tulips : violets = 5 : 6 = 10 : 12 . . . . . . . .multiply by 2
This tells us that maintaining the ratio will require 12 violets to be added for an addition of 10 tulips.
The unit rate is 5.
Here's why:
17 is a multiple of 85. To find the unit rate of eggs for 1 hen, you divide 85 divided by 17 which equals 5. So, for every 1 hen there are 5 eggs layed.
I hope this helps:)