I believe the answer would be 19.
Answer:
e. 2
Step-by-step explanation:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
To find the slope, you can use the slope formula and plug in the two points:
(3,63) = (x₁ , y₁)
(5,107) = (x₂, y₂)
m = 22
Now that you know m = 22, plug it into the equation:
y = mx + b
y = 22x + b
To find "b", plug in one of the points into the equation (I will do both points)
(3,63)
y = 22x + b
63 = 22(3) + b
63 = 66 + b Subtract 66 on both sides
-3 = b
(5,107)
y = 22x + b
107 = 22(5) + b
107 = 110 + b Subtract 110 on both sides
-3 = b
y = 22x - 3
Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
Answer:
3^x=9^{x+5}
Step-by-step explanation:
