Answer:
Slope = 1/3
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for slope M of equation of line</em>
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
<em>Step 3: Solve the system of equations in step 2 for M</em>
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
2x -20 -1 =0
2x -21=0
2x=21
x= 10.5
The length of both AB and DC is the same.
19 degrees
We want to know the arc measure for the whole circle, except for DC. So, we can subtract the arc measure of DC from 360 to find DBC. Since we found DC above, all we need to do is subtract.
360 - 19 = 341
DBC = 341 degrees
Hope this helps!! :)
Answer:
$2800
Step-by-step explanation:
6/100 x 2500 = 150
150 x 2 = 300
2500 + 300 = $2800
<em>Feel free to mark it as branliest :D</em>
