+1,-1 and your other would be 1,1
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
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
Answer:
f(x) = -4x + 12
Step-by-step explanation:
y - 2x = -6x + 12
+2x +2x
f(x) = -4x + 12
Just substitute x = 2 and y = 5 into the equation wherever you see x and y.
2 + (12 - 5x) · 2y
2 + (12 - 5(2)) · 2(5)
2 + (2) · 10
4 · 10
40, is the answer which should be the first box.