Answer:
(3,-5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
The x coordinate is
(x1+x2)/2
We know one point and the midpoint
( -1+x)/2 = 1
Multiply by 2
-1 +x = 2
Add 1
x =2+1
x=3
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
The y coordinate is
(y1+y2)/2
We know one point and the midpoint
(3+y)/2 = -1
Multiply by 2
3+y = -2
Subtract 3
y = -2-3
y =-5
The other endpoint is (3,-5)
Answer:
12) A = 27
13) B = 36
14) C = 25
15) D = 30
Step-by-step explanation:
We need to complete the ratio tables
We are given:
Footballs 15 5 20 C D
Baseballs A 9 B 45 54
The table shows the ratio of footballs to baseballs.
We are given the ratio 
All other ratios will also be simplified to get 
12) Calculate A
Footballs = 15
Baseballs = A
Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.
We know that 
So, A = 27
13) Calculate B
Footballs = 20
Baseballs = B
Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.
We know that 
So, B = 36
14) Calculate C
Footballs = C
Baseballs = 45
Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.
We know that 
So, C = 25
15) Calculate D
Footballs = D
Baseballs = 54
Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.
We know that 
So, D = 30
Answer:
1500÷3=m
Step-by-step explanation:
you have to divide 1500 by 3 to get the equal amount of minutes each person could use each month
Answer:
3/4 cups of sugar
Step-by-step explanation:
So we know that 1/8 cup of sugar is for 1/3 OF a recipe.
So if we want the full recipe we jsut have to multiply 1/8 by 3 since its only worth 1/3 of the recipe.
You’ll get 3/8 cups of sugar for a whole recipe. The question asks for 2 full recipes and since we already know it takes 3/8 cups for one we can multiply that by 2 to find the amount of sugar needed for 2 full recipes.
You’d get 6/8 cups of sugar.
Simplified: 3/4
Answer:
A. f(x) = 9sin(x/3) + 6
Step-by-step explanation:
First, we can eliminate B and C because they have the wrong vertical shift.
Since the y intercept is 6, this means the function has a vertical shift up 6 units, represented by a +6 at the end of the equation.
The amplitude is 9, found by calculating the difference between the minimum and maximum values, and dividing it by 2.
(15 - (-3)) / 2
18 / 2
= 9
Using a calculator, find the period given the frequency.
The period (coefficient of x) is 1/3.
So, putting all of these constants together, the correct equation is:
A. f(x) = 9sin(x/3) + 6
