In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin. The numbers on a coordinate grid are used to locate points.
Use distribution
-5t - 30 + 7t = 100
Combine like terms
2t - 30 = 100
Add 30 to both sides
2t = 130, t = 65
Solution: t = 65
The value would be 0.95454545454 (well if you put it in a calculator then this would be your answer)
$3.52
That's the right answer.
Your welcome
Question:
If the measure of arc CB is
units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is
units.
The length <em>L </em>of an arc is given by;
L =
-----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L =
<em>Substitute these values into equation (i) as follows;</em>
= 
=>
= 
<em>Cancel 8</em>
<em> on both sides</em>
= 
<em>Cross multiply</em>
3 x β = 360 x 1
3β = 360
<em>Divide both sides by 3</em>
<em />
<em />
β = 120°
Therefore, the measure of ∠CAB is 120°