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
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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:
4
Step-by-step explanation:
Answer:
A. - 4
Step-by-step explanation:
f(4) = 4(4) - 20 = 16 - 20 = - 4
Equation A find the lowest number of the three. Equation A satisfies the given conditions.
<h3>What is even number? </h3>
If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.
Assume the three consecutive integers are 2x,2x+2,2x+4
The sum of the three consecutive even numbers are 36;
x+x+2+x+4 = 36
3x+6=36
3x=30
x=10
The three integers are found as;
x =10
x+2 = 10+2 = 12
2x+4 =10+4=14
Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.
To learn more about the even number, refer to the link;
brainly.com/question/2289438
#SPJ1
Answer:
If 18.2% of the 378 milliliters of solution is acid, 0.182(378) ml of the solution is acid. Multiplying this out, our final answer is 68.8 ml of the solution is acid.
Let me know if this helps!
