Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3
Answer:
1) Slope: 3; y-intercept: -7
2) Slope: 2/3; y-intercept: 1
Step-by-step explanation:
y = mx + b; m is slope and b is y-intercept
1. y = 3x - 7
The equation is already in slope-intercept form, so you can find the slope and intercept.
Slope: 3
y-intercept: -7
2. y - 1 = 2/3x
For this one, you have to convert this into slope-intercept form (solving for y)
y - 1 = 2/3x
Add 1 to both sides
y - 1 + 1 = 2/3x + 1
y = 2/3x + 1
Now that the equation is in slope-intercept form, you can get the slope and y-intercept.
Slope: 2/3
y-intercept: 1
Answer:
The truck can not safely pass under the bridge
Step-by-step explanation:
The maximum height in inches is 149in.
12 feet times 12 inches = 144 in
144 +5 = 149in
If the truck is 162 inches than it would not be safe for it to pass under the bridge.
I hope this helps you!
I think there is a mistake in the question. If f(x) = (3 / 2)^x
, then
x f(x)
0 1
40 11057332.32
If the scale is 10 units to one inch, then you will need a paper size of 1105733.232 inches!
As a reference, a graph is included in attachments.
To get a linear function 2 points are needed. Assuming the equation g(x) = m*x and taking the points of the aforementioned table, we can compute the slope as
m = (f(x2) - f(x1))/(x2 - x1)
m = (11057332.32 - 1)/(40 - 0)
m = 276434.283
Function g(x) = 276434.283*x pass at points (0, 1) and (40, 11057332.32). h(x) = 276434.283*x + 2 fulfill the requirement that h(x) is greater than f(x), for all x such that 0 ≤ x ≤ 40, but f(41) > h(41), because at the next point, the exponential function will growths faster than linear function (see figure).
Answer:
3 +2i
Step-by-step explanation:
