Answer:
Step-by-step explanation:
5x + 2y = 20
Here we will show you how to calculate the following:
Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.
Calculate the graph plot coordinates for 5x + 2y = 20
Solve 5x + 2y = 20 for x and also for y.
Calculate and show the solution for the slope of 5x + 2y = 20
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
5x + 2y = 20
5x + 2(0) = 20
x1 = 4 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
5x + 2y = 20
5(0) + 2y = 20
y2 = 10 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:
(x1,y1) and (x2,y2)
(4,0) and (0,10)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20
m = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 - 4)
m = -2.5
0.2 is a decimal between 0.25 and 0.125
If these are the given choices of the above problem,
a. one side and one angle are equal.
<span>b.three sides are equal </span>
<span>c.two angles are equal </span>
<span>d. three angles are equal
Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.
Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
2) A pair of corresponding sides and the included angle are equal (SAS)
3) A pair of corresponding angles and the included side are equal (ASA)
4) A pair of corresponding angles and a non-included side are equal (AAS)</span>
Answer: D
Step-by-step explanation:
12 and 14 share the factor 2 so the furthest it can be simplified to is 6/7. this is not equal to 4/7
