Answer:
2 cm.
Step-by-step explanation:
It is given that the area of a square sports arena is 10,000 m².
Area of a square = Square of side.
Let side of square sports arena is x m.
Taking square root on both sides, we get
Side length of a sports arena cannot be negative. So x=100 m.
It is given that each centimeter in map represents 50 m.
50 m = 1 cm
Multiply both sides by 2.
100 m = 2 cm
Therefore, the dimensions of the sports arena on the map is 2 cm.
Answer:
Step-by-step explanation:
a+b=9500 equation 1
35a+55b=432500 equation 2
a=9500-b modified equation 1 to isolate a
35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2
332500-35b+55b=432500
20b=100000
b=5000
solve for a
a + b=9500
a + 5000=9500
a=4500
check answer:
35a+55b=432500
35(4500)+55(5000)=432500
157500+275000=432500
432500=432500
slope = (y2-y1)/(x2-x1)
m =(17-4)/(8-1)
m = 13/7
You have to keep the pairs in the same order
Answer:
-17 z - 6 y - 7 x + -18
Step-by-step explanation:
Simplify the following:
x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20
Hint: | Group like terms in x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20.
Grouping like terms, x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20 = (-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20):
(-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in -7 z - 10 z.
-7 z - 10 z = -17 z:
-17 z + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in 6 y - 12 y.
6 y - 12 y = -6 y:
-17 z + -6 y + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in x - 8 x.
x - 8 x = -7 x:
-17 z - 6 y + -7 x + (2 - 20)
Hint: | Evaluate 2 - 20.
2 - 20 = -18:
Answer: -17 z - 6 y - 7 x + -18
