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2 years ago

I WILL GIVE BRAINLY

Mathematics

1 answer:

Gnom [1K]2 years ago

3 0

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

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Step-by-step explanation:

May I have brainliest?

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3 years ago

The school gym can hold 650 people. A permanent bleacher in the gymn holds 136 people. The event organizers are setting up 25 ro

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3 years ago

Please help!! Write in simplest radical form: √7/8 Show how you figured it out

12345 [234]

Given expression: $\sqrt{\frac{7}{8}}$ .

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt{7}}{\sqrt{8}}$

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$\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}$

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3 years ago

the diagonal of a rectangle is 16 inches. if the height of the rectangle is 8 inches. what is the length of the rectangle?

Yakvenalex [24]

Answer:

Length: 13.9 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a = 8 and c= 16

8^2 + b^2 = 16^2

64 + b^2 = 256

b^2 = 256 - 64

b = sqrt 192

b = 13.9

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2 years ago

What is the difference of the polynomials?

drek231 [11]

Answer:

In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Solberg's polynomials, and the Stirling interpolation polynomials as special cases.

Step-by-step explanation:

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3 years ago