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3 years ago

PLEASE HELP!

Mathematics

2 answers:

Alexus [3.1K]3 years ago

8 0

Answer:

4x+5y-34=0

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

My goal is to put in in this form first. Then I will aim to put it in general form, ax+by+c=0.

So let's give it a go:

m is the change of y over the change of x.

To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference. Like this:

( 1 , 6)

-(6 , 2)

----------

-5 4

So the slope is 4/-5 or -4/5.

So m=-4/5.

Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].

6=-4/5 (1)+b

6=-4/5 +b

Add 4/5 on both sides:

6+4/5=b

30/5+4/5=b

34/5=b

So the y-intercept is 34/5.

The equation in slope-intercept form is:

y=-4/5 x + 34/5.

In general form, it is sometimes the goal to make all of your coefficients integers so let's do that. To get rid of the fractions, I'm going to multiply both sides by 5. This clears the 5's that were on bottom since 5/5=1.

5y=-4x+34

Now add 4x on both sides:

4x+5y=34 This is standard form.

Subtract 34 on both sides:

4x+5y-34=0

Mandarinka [93]3 years ago

3 0

Answer:

4x+5y-34=0

Step-by-step explanation:

let the other guy get the brainly

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The statement SOME DOGS ARE BROWN has 16 letters. Choose one of the 16 letters uniformly at random. Let X denote the length of t

k0ka [10]

Answer:

y 3 4 5

___________________________________

P(Y) 0.1875 0.5 0.3125

Step-by-step explanation:

For this case we have the following statement : SOME DOGS ARE BROWN

And if we count the number of letters in the statement we have 16 possible letters. We can define the following random variable

Y= Length of word containing a selected letter.

For example the word DOGS have 4 of the total 16 letters, so we can define the probability using empirical approximation for each word like this:

$P(SOME) = \frac{4}{16}= \frac{1}{4}=0.25$

And similar for the other words we have:

$P(DOGS) = \frac{4}{16}= \frac{1}{4}=0.25$

$P(ARE) = \frac{3}{16}= 0.1875$

$P(BROWN)=\frac{5}{16}= 0.3125$

And we have the following distribution for the words in the statement with the random variable Y defined previously:

Word SOME DOGS ARE BROWN

________________________________________

y 4 4 3 5

P(Word) 0.25 0.25 0.1875 0.3125

And as we can see the possible values for Y are 3,4 and 5, so then we can define the probability distribution for Y like this:

y 3 4 5

___________________________________

P(Y) 0.1875 0.5 0.3125

3 0

3 years ago

The area of a square is 128x3y4 cm2. What is the length of one side of the square in simplest form

AlekseyPX

Answer:

We know that the area of the square of side length L is:

A = L*L = L^2

In this case, we know that the area is:

A = 128*x^3*y^4 cm^2

Then we have:

L^2 = 128*x^3*y^4 cm^2

If we apply the square root to both sides we get:

√(L^2) = √( 128*x^3*y^4 cm^2)

L = √(128)*(√x^3)*(√y^4) cm

Here we can replace:

(√x^3) = x^(3/2)

(√y^4) = y^(4/2) = y^2

Replacing these two, we get:

L = √(128)*x^(3/2)*y^2 cm

This is the simplest form of L.

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3 years ago

Divide. Write your answer in simplest form. 5/8 / 3/10

DIA [1.3K]

Answer:

After dividing the two fractions, the answer in simplest form is:

25/12 (improper fraction) or 2 1/2 (proper)

both are correct just formed differently

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3 years ago

Read 2 more answers

35) The volume of a cone is 8 cubic

Anuta_ua [19.1K]

Answer:

24 cm³

Step-by-step explanation:

Volume of a cylinder is three times of a cone with same measurements

volume of cone is 8cm³

then,volume of cylinder is 8 × 3 = 24

7 0

2 years ago

Factor........................

elena55 [62]

For this case we have a quadratic polynomial given by:

$6x ^ 2-7x-5$

Where:

$a = 6\\b = -7\\c = -5$

We must factor, for this we follow the steps below:

Step 1:

The term of the medium must be rewritten as the sum of two terms, whose sum is -7 and the product is $a.c = 6 * (- 5) = - 30$ :

Then, the term of the medium, fulfilling the two previous conditions, can be written as:

$-10x + 3x$

We check:

$-10 * 3 = -30\\-10 + 3 = -7$

So, we have:

$6x ^ 2-10x + 3x-5$

Step 2:

The maximum common denominator (the largest integer that divides them without leaving residue) of each group is factored

$6x ^ 2-10x + 3x-5\\2x (3x - 5) + 1 * (3x - 5)$

Step 3:

We take common factor $(3x - 5)$ :

$(3x - 5) (2x + 1)$

Thus, the expression $6x^2-7x-5$ can be factored as:

$(3x - 5) (2x + 1)$

Answer:

$(3x - 5) (2x + 1)$

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3 years ago