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4 years ago

Helpppp plssss!! Show your work!!Thanks

Mathematics

1 answer:

Eduardwww [97]4 years ago

4 0

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

$\heartsuit\;\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}$

Given Points are (-3 , 5) and (6 , -1)

here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

$\heartsuit\;\;Slope(m) = \frac{5 + 1}{-3 - 6} = \frac{6}{-9} = \frac{-2}{3}$

Option D is the Answer

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What is the best way to answer this mixed number 7 3/4 + 1 5/6

olga_2 [115]

9514 1404 393

Answer:

9 7/12

Step-by-step explanation:

12 is a suitable common denominator.

(7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)

= 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12

= 9 7/12

_____

My calculator works with mixed numbers very nicely, as many graphing calculators do.

8 0

3 years ago

Read 2 more answers

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

4 years ago

If the class contains 11 boys and 14 girls, what is the probability of calling on a girl?

Ronch [10]

Answer: P (girl) = 14 / 25

Concept:

Here, we need to know the idea of probability.

Probability is a measure of the likelihood of an event to occur.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Number of boys = 11

Number of girls = 14

Total number of people = 11 + 14 = 25

P (girl) = Favorable / Total (refer to the attachment)

P (girl) = 14 / 25

Hope this helps!! :)

Please let me know if you have any questions

8 0

3 years ago

I don't quite understand the LCD and the unlike denominators properly. May someone explain it, please.

Whitepunk [10]

Hey!

----------------------------------------------------------------------

LCD stands for Lowest Common Denominator.

----------------------------------------------------------------------

Explanation:

So let's say we have the equation 1/9 * 16/27

We want to find the LCD of both fractions. To find the LCD of both fractions find a the lowest common denominator in both fractions.

In this equation the lowest common denominator is 27 because 9 can go in 27 and 27 can go into itself. Se basically 27 is the lowest possibly common denominator both fractions can get to.

----------------------------------------------------------------------

Hope This Helped! Good Luck ;)

5 0

3 years ago

What is the sum of the measures of the interior angles of a pentagon and 10-gon (decagon)?

Arada [10]

Answer:

540

Step-by-step explanation:

sum of interior angles =(n-4)90

(10-4)90=

6×90=540

5 0

3 years ago

Read 2 more answers