Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
It can be rewritten as
.....(1)
The standard form of an ellipse is
....(2)
Where (h,k) is center of the ellipse.
If a>b, then the vertices of the ellipse are 
.
From (1) and (2) we get
Since a>b, therefore the vertices of the ellipse are
The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.
Answer:
UT + CV = 4x + 33
Step-by-step explanation:
Given:
TW = 14
WU = 2x + 2
VW = 2x + 5
WC = 12
Find:
UT + CV
Computation:
UT = TW + WU
UT = 14 + 2x + 2 = 16 + 2x
CV = VW + WC
CV = 2x + 5 + 12 = 2x + 17
UT + CV
16 + 2x + 2x + 17
UT + CV = 4x + 33
Answer:
has infinite solution
Step-by-step explanation:
(x,y)=(1-2a,a) where a is an element of any real number
Answer:
See below.
Step-by-step explanation:
Party A
y = x^2 + 1
For each value of x in the table, substitute x in the equation with that value and evaluate y.
x = -2: y = (-2)^2 + 1 = 4 + 1 = 5
x = -1: y = (-1)^2 + 1 = 1 + 1 = 2
Do the same for x = 0, x = 1, x = 2
x y
-2 5
-1 2
0 1
1 2
2 5
Part B
Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.
Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.
You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.
Answer: A
Answer:
1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.
Step-by-step explanation:
add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.
