9514 1404 393
Answer:
m^2 = 35/9
Step-by-step explanation:
The line will be tangent to the ellipse where there is one point of intersection between the line and the ellipse. We can find that case by looking at the discriminant of the quadratic.
x^2 +9(mx +2)^2 = 1
x^2 +9(m^2x^2 +4mx +4) = 1
(9m^2 +1)x^2+36mx +35 = 0 . . . . subtract 1, collect terms
__
Then the discriminant is ...
(36m)^2 -4(9m^2 +1)(35)
We want it to be zero, so we have ...
1296m^2 -1260m^2 -140 = 0 . . . . eliminate parentheses
36m^2 = 140 . . . . . . . . . . . . . . . add 140
m^2 = 140/36 . . . . . . . . . . . . divide by 36
m^2 = 35/9
Answer:
28.80
Step-by-step explanation:
I took the test on edge 2020
Answer:
hggfdxfxfcfccvbfxd
Step-by-step explanation:
For this question, we want to find out the greatest amount of area of pizza for the least amount of money:
So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is
; So the area for one of these 10 in. pizzas would be
or 25
.
We have two of these pizzas, so the total area that we would get with $14 would be 25
*2 or 50
.
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be
or 49
.
So for $15 we can buy 49
worth of pizza.
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50
.
The volume of one tissue box is 170 cubic inches, so the volume of 25 tissue boxes are 4250 cubic inches.
