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3 years ago

22 more than four times a number is less than 82 (Inequality equation)

Mathematics

1 answer:

Tanzania [10]3 years ago

5 0

22^4c-82. Is the equation I think you are looking for.

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Write a equation of a hyperbola given the foci and the asymptotes

professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

$\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}$

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}$

The asymptote of n hyperbola is expressed as

$y=\pm\frac{a}{b}(x-h)+k$

Given that the asymptotes are

$y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x$

This implies that

$a=3,\text{ and b=4}$

To evaluate the value of h and k,

$undefined$

3 0

1 year ago

Which of the following is the Pythagorean theorem

noname [10]

Answer:

$a^2+b^2=c^2$

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula $a^2+b^2=c^2$ is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

4 0

3 years ago

Can you guys help me please ASAP

Cerrena [4.2K]

B would be your best answer looking at the graphic chart

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3 years ago

96.3 cm measured to the nearest tenth of a cm

rjkz [21]

Answer:

96.3 cm measured to the nearest tenth of a cm is 100 cm

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2 years ago

The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.

emmasim [6.3K]

A is 23.4 and b should be k point at 26

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2 years ago