Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = 
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = 
= 
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± 
= ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Answer:
25, right, 5, 3, 4,
Step-by-step explanation:
5^2 = 5*5 = 25
the triangle has a right angle and is therefore a right triangle,
the sides of the squares that make up the triangle are length 5, length 3, and length 4
Answer:
1.177
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Circumference = π * diameter
= π * 7
= 20.99 cm to nearest hundredth.
Radius of the circle = 1/2 * diameter = 7/2
= 3.5cm.
Area = π r^2
= π * 3.5^2
= 38.48 cm^2 to nearest hundredth.
Answer:
765
Step-by-step explanation:
First, find the number of sophomores
3600 * 3/8 =1350
Use the number of sophomores and multiply by 3/5 to find the amount of sophomores opposed to rock climbing
1350 * 3/5 =810
Then subtract the amount of sophomores from the total amount of students
3600 - 1350 =2250
And multiply the remaining students by 9/10 to find the amount of non-sophomores opposed to rock climbing
2250 * 9/10 =2025
Add the amount of sophomores and non-sophomores opposed to rock climbing
810 + 2025 =2835
The amount of students in favor of rock climbing would be
3600 - 2835 =765
