Answer:
16
Step-by-step explanation:
(x-8)^2 + (y-4)^2= 16
Answer:
α= 133.6 degrees
(a)Sin(α/2)=0.9191
(b)cos(α/2)=0.3939
(c)Tan(α/2)=2.3332
Step-by-step explanation:
If Tan α=
90<α<180
We determine first the value of α in the first quadrant
α=
=46.4
Since 90<α<180
α=180-46.4=133.6 degrees
(a)Sin(α/2)=Sin(133.6/2)=Sin 66.8 =0.9191
(b)cos(α/2)=cos(133.6/2)=cos 66.8 =0.3939
(c)Tan(α/2)=Tan(133.6/2)=Tan 66.8 =2.3332
The 2-point form of the equation for a line can be used.
... y = (y₂-y₁)/(x₂-x₁)·(x -x₁) +y₁
Filling in the given information, you have
... y = (4-1)/(4-3)·(x-3) +1 . . . . an equation for the line
... y = 3x -8 . . . . . . . . . . . . . . simplified to slope-intercept form
... 3x -y = 8 . . . . . . . . . . . . . .. rearranged to standard form
The equation of the line passing through given points (3, 1) and (4, 4) can be found by calculating the slope and the y-intercept of the line. First, we find the slope (m) is 3. Then, by substituting the slope and one point into the formula y = mx + b, we find the y-intercept is -8. Thus, the equation of the line is y = 3x - 8.
To find the equation of a line passing through two points, we need to find the slope (m) first. The formula for calculating the slope is m = (y2 - y1) / (x2 - x1). Taking the given points (3, 1) and (4, 4), we can substitute into our formula and get m = (4 - 1) / (4 - 3) = 3 / 1 = 3.
Once we have the slope, the next step is finding the y-intercept (b) using the equation of a line, y = mx + b. Replacing m, x, and y with known values from any point, let's use (3, 1), we get 1 = 3*3 + b, that simplifies to b = -8.
So the equation of the line that passes through the points (3, 1) and (4, 4) is: y = 3x - 8.
#SPJ3
What is the slope of the line?
What is the y-intercept?
Answer:
the slope of the line is , and the y-intercept occurs at y = -6 (0, -6) on the plane
Step-by-step explanation:
In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):
Therefore the slope of the line is , and the y-intercept occurs at y = -6 (0, -6) on the plane