Answer:
y = 46
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 23 when x = 8 , then
23 = 
( multiply both sides by 8 )
184 = k
y = 
← equation of variation
When x = 4 , then
y = 
= 46
3 and 4/9 would be the answer to this.
Step-by-step explanation:
Given
Slope (m) = 4
Point ( -1 , 5)
Now the equation of line is
y - y1 = m ( x - x1)
y - 5 = 4 ( x + 1)
y - 5 = 4x + 4
4x + 4 - y + 5= 0
4x - y + 9 = 0
which is the required equation
Answer:
n = 5.75
Step-by-step explanation:
original equation
n - 31/4 = 2
multiply everything by 4
n * 4 - 31/4 * 4 = 2 * 4
simplify
4n - 31 = 8
add 31 to both sides
4n - 31 + 31 = 8 + -31
simplify
4n = -23
divide both sides by 4
4n/4 = -23/4
simplify
n = 5.75
All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.
Angle 1 - 50 + x
Angle 2 - x
Angle 3 - 2x -10
50+x+x+2x-10=180
4x+40=180
4x=140
x=35
Angle 1 = 50+35= 85
Angle 2 = 35
Angle 3 = 2(35) - 10 = 60
60+35+85=180
