Answer: B(7,0)
Step-by-step explanation:
Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.
Let the coordinate of B be (x,y)
Therefore, the distance AM is equal to distance MB.
Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}
Comparing corresponding coordinates,
5-3 = x-5
x= 5+5-3 = 7
4-8 = y-4
y= 4-8+4= 0
Therefore, the coordinate of B is (7,0)
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Rate of Change and Slope are both the same thing. They show the amount of change on the “y-axis” as the “x-axis” moves. I hope it helps... we learned this in class about a month ago.
Answer:
99 square units
Step-by-step explanation:
We are given;
- a polygon Y whose area is 11 square units
- The scale factor which it was drawn to become polygon Z is 3
We are required to determine the area of polygon Z
We need to know that;
Area scale factor = Square of Linear scale factor
That is;
Area scale factor = 3²
= 9
Hence;
Area of polygon Z = Area of polygon Y × Area scale factor
= 11 square units × 9
= 99 square units
Thus, the area of polygon Z is 99 square units
Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23