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3 years ago

Equation -2x - 23 = 13x + 22 with explanation plz

Mathematics

1 answer:

vfiekz [6]3 years ago

3 0

Answer:

x = -3

Step-by-step explanation:

first, take out the x on the right side and move it to the left side (subtract the 13x from 13x and subtract 13x from -2x). then amove 23 from the left side to the right side (add 23 to 23 and add 23 to 22). the equation should be -15x = 45 now. divide -15 from both sides and you should get x = -3!

i hope this helps you!

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2 years ago

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3 years ago

Find the standard form of the equation of the hyperbola satisfying the given conditions: X intercept +/- 6; foci at (-10,0) and

uysha [10]

Answer:

$\frac{x^{2}}{36} - \frac{y^{2}}{64}=1$

Step-by-step explanation:

Given an hyperbola with the following conditions:

Foci at (-10,0) and (10,0)
x-intercept +/- 6;

The following holds:

The center is midway between the foci, so the center must be at (h, k) = (0, 0).

The foci are 10 units to either side of the center, so c = 10 and $c^2 = 100$
The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.

Since the intercepts are 6 units to either side of the center, then a = 6 and $a^2 = 36.$

$Then, a^2+b^2=c^2\\b^2=100-36=64$

Therefore, substituting $a^2 = 36.$ and $b^2=64$ into the standard form

$\frac{x^{2}}{a^2} - \frac{y^{2}}{b^2}=1\\We \: have:\\ \dfrac{x^{2}}{36} - \dfrac{y^{2}}{64}=1$

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3 years ago