Answer:
? = 2 sqrt(21)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since this is a right triangle
a^2 + b^2 =c^2
?^2 + 4^2 = 10 ^2
?^2 + 16 = 100
Subtract 16 from each side
?^2 +16-16 = 100-16
?^2 = 84
Take the square root of each side
sqrt(?^2) = sqrt(84)
? = sqrt(4) sqrt(21)
? = 2 sqrt(21)
Answer:
x = 1/21
Step-by-step explanation:
7 = 3/9x
Multiply both sides by 9x
7 x 9x = 3/9x x 9x
9x cancels out on the right side
63x = 3
Divide both sides by 63 to isolate x
63x/63 = 3/63
x = 1/21
Answer:
y=-4, x=1
Step-by-step explanation:
2x-y=6 x+y=-3
2(-3-y)-y=6 x=-3-y
-6-2y-y=6 x=-3+4
-3y=12 x=1
y=-4
You have a line:
y=mx+b (slope-intercepted form)
m=slope of this line.
The slope of a line perpendicular to that given line will be: ´"m´"
m´=-1/m.
For example:
y=8x+3
m=8
The solpe fo a line perpendicular to "y=8x+3" is:
m`=-1/8
The final price is the cost plus the tax.
Since we know the tax and a percent, we can write this as
T = C(1+r)
T = what Graham paid = $87.45
C = cost before tax
r = tax rate expressed as a decimal = .40
Plugging in what we know
87.45 = C (1+.4)
87.45 = C(1.4)
Divide both sides by 1.4
C = $62.46
