Y intercept when x =0
<span> y=-x+3
y = -0 +3
y = 3
</span><span> the slope is -1 </span>
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</span>
The Answers is
g(x) = (x + 1)/(x - 2)
h(x) = 4 - x
g(h(x)) = (4 - x + 1)/(4 - x - 2) = (5 - x)/(2 - x)
g(h(-3)) = (5 - (-3))/(2 - (-3)) = (5 + 3)/(2 + 3) = 8/5
g(h(-3)) = 8/5.
Answer:
∠ I = 39°, ∠ J = 51°, ∠ K = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the3 angles and equate to 180
3x + 21 + 5x + 21 + 90 = 180, that is
8x + 132 = 180 ( subtract 132 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Then
∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°
∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°
∠ K = 90°
Comparing map distance to real distance we get 2cm/4km. That means 1cm = 2km.
So the map distance is half the real distance (well, technically not as one is in cm and the other in km but it’s enough to think this way) and a real distance of 10km must mean a map distance of half that (again ignoring the units) so we get 5cm.
A. = logb (3/7)^1/2
= logb 3^1/2 - logb 7^1/2
= 1/2(logb 3 - logb 7)
b. = log 7x^3 + log y^5
= log 7 + log x^3 + log y^5
= log 7 + 3 log x + 5 log y
