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VladimirAG [237]
2 years ago
15

Write the equation of the line in slope-intercept form using y=mx+b​

Mathematics
2 answers:
AysviL [449]2 years ago
7 0
The answer is Y= 3/1x+5
olya-2409 [2.1K]2 years ago
3 0

Answer:

y = 3/1x + 5

Step-by-step explanation:

The line crosses the y-axis at 5, meaning the y intercept is 5.

The slope has a rise of 3 and run of 1, making the slope 3/1.

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Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Please show me each step of the process!
IgorC [24]
Hey there, hope I can help!

-4x^2+9y^2+32x+36y-64=0

\mathrm{Add\:}64\mathrm{\:to\:both\:sides} \ \textgreater \  9y^2+32x+36y-4x^2=64

\mathrm{Factor\:out\:coefficient\:of\:square\:terms} \ \textgreater \  -4\left(x^2-8x\right)+9\left(y^2+4y\right)=64

\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4
-\left(x^2-8x\right)+\frac{9}{4}\left(y^2+4y\right)=16

\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9
-\frac{1}{9}\left(x^2-8x\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}

\mathrm{Convert}\:x\:\mathrm{to\:square\:form}
-\frac{1}{9}\left(x^2-8x+16\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)

\mathrm{Convert\:to\:square\:form}
-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)

\mathrm{Convert}\:y\:\mathrm{to\:square\:form}
-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y+4\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)

\mathrm{Convert\:to\:square\:form}
-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)

\mathrm{Refine\:}\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right) \ \textgreater \  -\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=1

Refine\;once\;more\;-\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1

For me I used
\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}= 1
As\;\mathrm{it\;\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}

I know yours is an equation which is why I did not go any further because this is the standard form you are looking for. I would rewrite mine to get my hyperbola standard form. However the one I have provided is the form you need where mine would be.
\frac{\left(y-\left(-2\right)\right)^2}{2^2}-\frac{\left(x-4\right)^2}{3^2}=1

Hope this helps!
4 0
3 years ago
A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. if the rate of the bus is 20 miles per
Gnesinka [82]
It would be the bus goes 75 miles per hour while the car is going 95 miles per hour
6 0
3 years ago
Identify the unit rate in the graph.<br><br> ILL GIVE BRAINLY
OverLord2011 [107]

Answer:

D

Step-by-step explanation:

They wanted to hang Adam's and Hancock as traitors.

7 0
2 years ago
Read 2 more answers
PLEASE HELP ME! Select the correct answer. Consider function g. Which function could be the inverse of function g?
maria [59]

Answer:

A)  k(x)

Step-by-step explanation:

An inverse function does the opposite to the function.

For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".

An <u>inverse function</u> is a <u>reflection of the function in the line y = x</u>

Therefore (x, y) → (y, x)

(-8, 2) → (2, -8)

(-4, 3) → (3, -4)

(0, 4) → (4, 0)

(4, 5) → (5, 4)

(8, 6) → (6, 8)

Therefore, the function k(x) could be an inverse of function g(x).

8 0
2 years ago
What is the answer to the following <br>-1+8=​
GenaCL600 [577]

Answer:

Step-by-step explanation:

-1+8=7

8 0
3 years ago
Read 2 more answers
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