3 years ago

Anyone know this? Ill give brainliest if right pls help ^^

Mathematics

1 answer:

timama [110]3 years ago

8 0

Answer: answer is 59 F

Step-by-step explanation:

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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,

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1 year ago

Solve the system of equations using substitution. Show your work. y= 2x - 10 y= 4x - 8

Semenov [28]

Y=2x-10
Y=4x-8
U substitute it and it turns into 2x-10 =4x-8
U get x=-1
Y=4*(-1)-8
Y=-12
(x,y)= (-1,-12)
If u have a phone u can use photo math or if u don’t there’s a thing called mathpapa

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3 years ago

1. Which inequality is true? A.6 π > 18 B.6 π < 18 C.6 π = 18 D.18 > 6 π

lilavasa [31]

Answer:

Step-by-step explanation:

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3 years ago

What is the slope of the line represented by the equation? –2x + y = –1

Harrizon [31]

Isolate the y to one side so we get: y = 2x - 1
The slope of the line is 2.