Answer:
90
Step-by-step explanation:
DM=1/4 of MBND
a circle =360
360÷4=90
Answer:
(-2, 3)
Step-by-step explanation:
Given the system of equations:
-3x + 2y = 12
x = 2y - 8
You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':
-3(2y - 8) + 2y = 12
Distribute: -6y + 24 + 2y = 12
Combine like terms: -4y + 24 = 12
Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12
Divide both sides by -4: -4y/-4 = -12/-4 or y = 3
Use y = 3 to solve for 'x':
x = 2(3) - 8 or 6 - 8
x = -2
(-2, 3)
Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A =
← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 =
( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A =
← equation of variation
when A = 10 and C = 1.5 , then
10 =
( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
The correct excluded value is 2.