Answer:
y=-5x+3
Step-by-step explanation:
5x+y=3
sub 5x from each side
y=-5x+3
Answer/Step-by-step explanation:
m<MAH = 90° (linear pair. It is also supplementary to m<MAK = 90°)
m<MAL + m<HAL = m<MAH
Which is:
(9x + 1) + (x + 9) = 90°
Solve for x
9x + 1 + x + 9 = 90
Collect like terms
9x + x + 1 + 9 = 90
10x + 10 = 90
Subtract both sides by 10
10x + 10 - 10 = 90 - 10
10x = 80
Divide both sides by 10
x = 8
Find m<MAL
m<MAL = 9x + 1
Plug in the value of x
m<MAL = 9(8) + 1 = 72 + 1 = 73°
Find m<HAL
m<HAL = x + 9
m<HAL = 8 + 9 = 17°
I don't really see the shaded area...
Trial and error aren't necessary.
Increasing 12% per month means that at any time,
there are (1.12) x (the number there were a month earlier).
After, say, 'M' months, the number has grown by (1.12)^M power.
We want to know what 'M' has to be so that 50(1.12)^M = 1,000
Divide each side by 50 : (1.12)^M = 20
Take the log of each side: M log(1.12) = log(20)
Divide each side by log(1.12): M = log(20) / log(1.12)
<em> M =</em> 1.301 / 0.0492 = <em>26.44 months</em>