What is the quotient? -3/8 divided by -1/4

Answer:

[tex]y = \frac{4}{3}x - 12[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,-8)[/tex]

[tex](x_2,y_2) = (6,-4)[/tex]

Required

Determine the equation

First, we need to determine the slope (m):

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-8)}{6 -3}[/tex]

[tex]m = \frac{-4 +8}{3}[/tex]

[tex]m = \frac{4}{3}[/tex]

Next, we determine the line equation using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = \frac{4}{3}[/tex]

[tex](x_1,y_1) = (3,-8)[/tex]

[tex]y - (-8) = \frac{4}{3}(x - 3)[/tex]

[tex]y +8 = \frac{4}{3}(x - 3)[/tex]

[tex]y +8 = \frac{4}{3}x - 4[/tex]

[tex]y = \frac{4}{3}x - 4 - 8[/tex]

[tex]y = \frac{4}{3}x - 12[/tex]

The equation of the line that passes through  (3, -8)(6, -4) is y = - 1 / 2 x - 1

The slope intercept equation is as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

The line passes through (3, -8)(6, -4)

m = -4 - 3 / 6 + 8 = -7 / 14 = - 1 / 2

y = - 1 /2 x + b

let's find b using (6, -4)

-4 = - 1 /2 (6) + b

-4 + 3 = b

b = -1

Therefore,

y = - 1 / 2 x - 1

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Answer:

the answer is y=10

Answer:

In slope intercept form it would be y=-1/2x+3

Step-by-step explanation:

THIS IS AN EXAMPLE ON HOW TO GET SLOPE INTERCEPT FORM. start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.

1 km=1000 m

1 m=100 cm

please mark as brainliest

Answer:

(0,5) (1,3) (2,1)

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

x = 7, so we have:

7 + 7 = 14

14 + 5 = 19

Answer:

19

Step-by-step explanation:

you replace the x with a seven. so it will look like

7+7+5= 19

Step-by-step explanation:

x-2y=-6 ...(1)

-2x+4y=-3 ...(2)

Multiply equation (1) by 2

So,

2x-4y=-12 ...(3)

Now add equation (2) and (3).

-2x+4y + 2x-4y = -3+(-12)

0=-15

It means that there is no solution of the given equations.

Answer:

Step-by-step explanation:

2x-3y=4 x+3y=29

Hmmm I got (11,6) and I did it two different ways. Are these the only answers?

Answer:

(11, 6)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 4

x + 3y = 29

Step 2: Rewrite systems

2x - 3y = 4

x = 29 - 3y

Step 3: Solve for y

Step 4: Solve for x

Step 5: Check

Graph the systems of equations to verify the solution set.

Answer:

sqrt10

Step-by-step explanation:

Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10

Answer:

x = 1

Step-by-step explanation:

5x + 17 = 1/2[(73x + 5) - (23x - 5)]

5x + 17 = 1/2[37x + 5 - 23x + 5]

5x + 17 = 1/2[14x + 10]

5x + 17 = 1/2 * 2(7x + 5)

5x + 17 = 7x + 5

5x - 17x = 5 - 17

-12x = - 12

x = - 12/-12

x = 1

A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,

∠WVU = (arc WU + arc WU)/2

5x + 17 = [(37x + 5) + (23x - 5)]/2

2(5x + 17) = (37x + 5) + (23x - 5)

10x + 34 = 37x + 5 + 23x - 5

10x - 37x - 23x = 5 - 5 - 34

-50x = -34

x = 34/50

x = 17/25

Hence, the value of x is 17/25.

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Answer:

17/30 17 over 30

Step-by-step explanation:

Answer:

17/30

Step-by-step explanation:

All 3 marks are awarded if for maths watch

If done like the following;

x = 17/30

Answer:

Mr. Thompson's account be worth $9,562.50 after 10 years

Step-by-step explanation:

Simple Interest

Interest is calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Mr. Thompson plans to invest P=7,500 in a savings account that earns r=2.75% = 0.0275.

The interest earned in t=10 years is calculated now:

I=7,500*0.0275*10

I=2,062.50

Now we add the interest to the principal:

A = $7,500 + $2,062.50

A = $9,562.50

Mr. Thompson's account be worth $9,562.50 after 10 years

Answer:

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of peanuts to other nuts is 6 to 5

otherwise expressed as 6:5

the total ratio is 6+5= 11

the total number of peanut is 414

let the other nuts be x

6/5=414/x

cross multiply we have

414*5= 6x

2070=6x

divide both sides by 6

x=2070/6

x=345

345 other nuts

Answer:

1.41 it’s a infinity answer

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)

Answer:

75.0

Step-by-step explanation:

Answer:

Markup = [(Revenue – COGS) / COGS] X 100.

Markup = (Gross Profit / COGS) X 100.

Markup = [(Revenue – COGS) / COGS] X 100.

Markup = [($400 – $250) / $250] X 100.

Selling Price = [(Markup X COGS) + COGS] X 100.

Selling Price = (Markup X COGS) + COGS.

Selling Price = (0.50 X $100) + $100.

Step-by-step explanation:

um i think this is the answer

Answer: can someone help with my question really need help its a test.

Step-by-step explanation:

9999999

Answer:

can you expand on what you're talking about?

Answer:

Question isn't complete dude ...

Answer:

C=25+(a*m)

just simplyfy what it was doing

Answer:

22

Step-by-step explanation:

just simple deduction

Answer:

it might be b and d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is a 67% percent chance.

Answer:

8.4 cm

Step-by-step explanation:

Given that:

A right angled triangle, let [tex]\triangle ABD[/tex]. Right angled at [tex]\angle A[/tex].

Altitude AC to the hypotenuse BD.

Length of side BC = 5 cm

Length of side CD = 11 cm

We have to find the value of shorter leg of triangle. i.e. side AB = ?

Using the concept of similarity, we can say the following:

[tex]\dfrac{AB}{BC} = \dfrac{BD}{AB}\\\Rightarrow AB^2=BC.BD\\\Rightarrow AB^2=5\times (5+11)\\\Rightarrow AB^2=5\times 16\\\Rightarrow AB^2=80\\\Rightarrow AB=\sqrt{80}\\\Rightarrow \bold{AB\approx 8.4\ cm}[/tex]

The length of shorter leg of the triangle = 8.4 cm

Answer:

Katherine will rent at least 64 movies and 20 games to make a profit

Step-by-step explanation:

The given parameters are;

The amount for which she rents games = 4

The amount for which she rents movies = 4

The number of games and movies she most rent to make profit = 84

The number of games she ≤ 20

Let x represent the number of games, let y represents the number movies, we have;

x + y ≥ 84

x ≤ 20

64 ≤ y ≤ 84

The graph of the inequality created with Microsoft Excel showing the feasible region is included

Answer:

21

Step-by-step explanation:

u do 140 divided by .15

Answer:

Cosine

Step-by-step explanation:

I took the test

In order to solve for x , we use the trigonometric function cosine

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be ΔABC , where ∠B = 90°

Let the side AB be x

So , the adjacent side = x

The angle of the triangle ∠A is = 72°

So , θ = 72°

The hypotenuse AC = 8

And , by trigonometric relations , we get

cos θ = adjacent / hypotenuse

Substituting the values in the equations , we get

cos 72° = x / 8

Multiply by 8 on both sides , we get

x = cos 72° × 8

Now , cos 72° = 0.30901

Substituting the value of cos 72° , we get

x = 0.30901 × 8

x = 2.472

Hence , the value of x is determined by cosine function

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Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

x is the independent variable because it does not depend on any value

y is the dependent variable because it depends on the value of x

Let us solve the question

∵ 5x + 2y = 150

→ Put it in the form above by subtracting 5x from both sides

∵ 5x - 5x + 2y = 150 - 5x

∴ 2y = 150 - 5x

→ Divide each term by 2 to make the coefficient of y equal 1

∴ y = 75 - 2.5x

∴ y = -2.5x + 75

→ Compare is by the form above

∴ m = -2.5 and b = 75

∴ x is the independent variable (domain)

∴ y is the dependent variable (range)