Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).
1 answer:
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Answer:
Part 1) The measure of arc EHL is
Part 2) The measure of angle LVE is
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
we have
substitute
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
Find the value of y
therefore
The measure of arc EHL is
The measure of arc EVL is
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
we have
substitute
First, you know that Jackson (let call her J) scored 41 more points than L (Leslie). What we don't know is how many points L scored so we can use a variable that will be 'x'.
So the equation will be J=41+x.
We also know that the total points is 1,189.
To find out what x is we first subtract 1,189-41. We then get 1,148.
We are now left with 2x and 1,148 so we divide 1,148 by 2 and get 574.
574=x so now we can plug that in.
J= 574+41
Jackson scored 615 points and Leslie scored 574 points
(You can use bar modeling to do solve this problem. An example of bar modeling is shown below.
So the equation will be J=41+x.
We also know that the total points is 1,189.
To find out what x is we first subtract 1,189-41. We then get 1,148.
We are now left with 2x and 1,148 so we divide 1,148 by 2 and get 574.
574=x so now we can plug that in.
J= 574+41
Jackson scored 615 points and Leslie scored 574 points
(You can use bar modeling to do solve this problem. An example of bar modeling is shown below.