Step-by-step explanation:
the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).
so,
1.
(9, 7) to (4, -3)
midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)
2.
(-7, -5) to (2, 1)
midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)
3.
now we have the midpoint and need the second point.
(4, 2) over (3, 4) to (x, y)
3 = (4 + x)/2
6 = 4 + x
x = 2
4 = (2 + y)/2
8 = 2 + y
y = 6
4.
(-2, 1) over (-3, 2) to (x, y)
-3 = (-2 + x)/2
-6 = -2 + x
x = -4
2 = (1 + y)/2
4 = 1 + y
y = 3
Remember, the length of the longest sid must be less than the sum of the other 2 sidess
33 is longest
33<24+8
33<32
false
it would not make a triangle
Answer:
angle 1 = 120 degree
Step-by-step explanation:
75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)
120 degree = angle 1
13xy^2-10xy-23=0
you first add the like terms and rewrite and thats how you get the answer
Answer:
<u>First, find the cost function of DoItRight Housekeeping:</u>
- Slope(m) = cost per hour =

<em>The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:</em>

<u>Therefore, the function for two companies are:</u>
- The function for DoItRight is

- The function for CleanIt is

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.