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2 years ago

Evaluate the expression for the given values.

Mathematics

2 answers:

Liono4ka [1.6K]2 years ago

8 0

Answer:

Step-by-step explanation:

Hope this helps. :) :D

Mekhanik [1.2K]2 years ago

8 0

Answer:

The answer is 6

Step-by-step explanation:

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Write an equation in standard form of the hyperbola described.

marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

$\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill$

$\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}$

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2 years ago

Please Help!! what value of b makes the trinomial below a perfect square?

Anna [14]

Remember, you take 1/2 of b and square it to get c

c=100
(b/2)^2=c
(b/2)^2=100
sqrt oth sides
b/2=+/-10
times both sides by 2
b=+/-20
it is 20 or -20

answe ris B
yo is right

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2 years ago

Need help on this please

Naily [24]

There is no outlier. :)

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2 years ago

Read 2 more answers

The ratio of the width to the height of a window is 2:7. The width of the window is 3ft. Write and solve a proportion to find th

poizon [28]

10.5 -- 3/2=1.5 -- 7x1.5=10.5

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3 years ago

What is the point-slope form of a line with a slope -3 that contains the point (10,-1)

Citrus2011 [14]

Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)

x1: and 10 goes to the x1 spot

m: -3 belongs in m

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2 years ago