Intercepts are when one value is 0...like when x is 0, the point would be the y intercept....
x intercept is 4
y intercept is 5
slope: y2 - y1/x2 - x1
slope = 0 - 5/4 - 0
slope = -5/4
the for the equation plug in any points from the line.
y = mx + b
5 = -5/4(0) + b
5 = B
y = -5/4x + 5 is the equationh to the line
Answer:
$3.00
Step-by-step explanation:
5x + 3y = 30 - - - - - 1 x 4
3x + 4y =29 - - - - - -2 x 3
--------------------------------------------
20x +12y = 120 - - - - 3
9x + 12y = 87 - - - - - 4
--------------------------------------------
3-4
20x - 9x= 120 - 87
11x = 33
X= 33
11
X = 3
3x2 - y3 - z
3(3^2) - -2^3 - -5
3(9) + 8 + 5
27 + 8 + 5
35 + 5
40
Hello!
First, let's take a look at the two angles together. We can see that the two angles, when the measures are combined, add up to form a line, DEF. We can therefore see that the two angles DEG and GEF must add up to 180 degrees, as the measure of a line is 180 degrees.
Therefore, we can create our equation.
(7x - 3) + (12x - 7) = 180
Now, solve for x.
7x - 3 + 12x - 7 = 180
19x = 190
x = 10
Finally, substitute x into the angle measures to find the integer measurements.
Angle DEG: 7x - 3
7 * 10 - 3
70 - 3
67 degrees
Angle GEF: 12x - 7
12 * 10 - 7
120 - 7
113 degrees
Just to be sure, add up the angle measurements to make sure they equal 180. 67 + 113 = 180, which means we did our math correctly.
Hope this helps!
