There is an infinite number of chords in a circle
Answer:
1 and 2.
Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.
- D= (-2, 2), E = (-1, -2), F = (-4, -1)
3.
As per definition, midsegment is parallel to a side.
Parallel lines have same slope.
<u>Find slopes of FD and CB and compare. </u>
- m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
- m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
- As we see the slopes are same
<u>Find the slopes of FE and AB and compare.</u>
- m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
- m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
- Slopes are same
<u>Find the slopes of DE and AC and compare.</u>
- m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
- m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
- Slopes are same
4.
As per definition, midsegment is half the parallel side.
<u>We'll show that FD = 1/2CB</u>
- FD = = =
- CB = = = 2
- As we see FD = 1/2CB
<u>FE = 1/2AB</u>
- FE = = =
- AB = = = 2
- As we see FE = 1/2AB
<u>DE = 1/2AC</u>
- DE = = =
- AC = = = 2
- As we see DE = 1/2AC
Answer:
All real solutions
Step-by-step explanation:
- The given graph is a maximum quadratic function.
- The solution to the graph is where the graph intersects the x-axis.
- We can see from the graph that, the function intersected the x-axis at two different points, hence its discriminant is greater than zero.
- Hence the solution of g(x) are two distinct real solutions.
- The solutions are not whole numbers because the x-intercepts are not exact.
- The solutions are also not all points that lie on g(x)
- The first choice is correct.
Answer:
The costs of the plan are $0.15 per minute and a monthly fee of $39
Step-by-step explanation:
Let
x ----> the number of minutes used
y ----> is the total cost
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
we have the ordered pairs
(100,54) and (660, 138)
substitute
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
Isolate the variable y
therefore
The costs of the plan are $0.15 per minute and a monthly fee of $39