Answer:
The quadratic function whose graph contains these points is 
Step-by-step explanation:
We know that a quadratic function is a function of the form
. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.



We can solve these system of equations by substitution
- Substitute


- Isolate a for the first equation

- Substitute
into the second equation



The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is

As you can corroborate with the graph of this function.
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
Answer:
∠1 = 142°
<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
Okay what’s the rest of the question ?
Answer:
13
Step-by-step explanation:
Sorry i cannot showy solution