Find the slope of the line that passes through (5,2) and (4,-1)

Answer:

The coordinates of P are (12,9)

Step-by-step explanation:

Equations

We are given the endpoints of the segment AB: A(10,8) B(18,12).

It's required to find the coordinates of point P(x,y) along the segment AB such that:

[tex]\displaystyle \frac{AP}{PB}=\frac{1}{3}[/tex]

The ratio of the distances is the same as the ratio of their respective coordinates:

[tex]\displaystyle \frac{x_{AP}}{x_{PB}}=\frac{1}{3}[/tex]

[tex]\displaystyle \frac{y_{AP}}{y_{PB}}=\frac{1}{3}[/tex]

Since

[tex]x_{AP}=x_P-x_A=x-10[/tex]

[tex]x_{PB}=x_B-x_P=18-x[/tex]

Then:

[tex]\displaystyle \frac{x-10}{18-x}=\frac{1}{3}[/tex]

Multiplying by 3 (18-x):

3( x - 10 )= 18 - x

3x - 30 = 18 - x

Adding x and 30:

4x = 48

x = 12

Similarly:

[tex]\displaystyle \frac{y-8}{12-y}=\frac{1}{3}[/tex]

Multiplying by 3 (12-y):

3( y - 8 ) = 12 - y

3y - 24 = 12 - y

Adding y and 24:

4y = 36

y = 9

The coordinates of P are (12,9)

Answer:

The first one

Step-by-step explanation:

since you're subtracting 12, it will be -8

the -8/4 = -2

Answer:

It is the first answer choice b<4 or b>-2

Step-by-step explanation:

Solve the first inequality like so

6b<24

divide by 6 on both sides

b<4

Now for the second inequality solve like so

4b+12>4

Subtract 12 on both sides

4b>-8

Divide on both sides by 4

b>-2

This leaves us with only one answer choice which is A -

b<4 or b>-2

If you can please make my answer the brainliest that would be much appreciated. Thanks!

Answer:

Third Option

Step-by-step explanation:

Lets use process of elimination to find the answer to this question. It's not the first option because a scribes job was mainly in the government district as writers/record keepers meaning they don't really protect the kingdom from invasion. It's not the second options because Merchants were traders, meaning they don't make up the Pharaohs police force because all they do is sell goods to Egyptians. Then it's not fourth option because farmers, servants, and slaves make up way more then 20% of ancient Egypt. Leaving the third option meaning it's your answer.

Hope this helps.

Answer:

a) She did mistake in Step 2

b) when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)

Step-by-step explanation:

We need to find problem in Ms J solution.

Ms J solution:

[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5) - 3y(x - 5)\\Step \ 3: (x+5)(4x - 3y)[/tex]

She did mistake in Step 2 when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)

Correcting the mistake:

[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5)\mathbf{- 3y(x +5)}\\Step \ 3: (x+5)(4x - 3y)[/tex]

Answer:

Your answer is 38 degrees.

Step-by-step explanation:

The question was solved through the properties of a circle. The angle subtended at the center is double the angle subtended at the circumference.

Hope I helped, happy schooling!!

The measure of <C is 38°. The answer is the first option 38°

From the question, we are to determine the measure of <C.

In the diagram, <C is an angle on a part of the circumference.

From the given information, the angle subtended by arc AB at the center of the circle is 76°

From one of the circle theorems we have that

The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference

Therefore,

2 × <C = 78°

<C = 76° ÷ 2

<C = 38°

Hence, the measure of <C is 38°. The answer is the first option 38°

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Answer:

C

Step-by-step explanation:

rounding

Answer:

$80

Step-by-step explanation:

500-390-30

$80

Answer:

1st is 26.376 2nd is n

Step-by-step explanation:

2pie X r so. 2 X3.14X4.2

Answer:

26.376 cm

4 is the constant

Step-by-step explanation:

C = [tex]2\pi r[/tex]

To find the circumference, we first need to find the radius. The radius of a circle is half the diameter, so divide 84 by 2:

84/2 = 42

The radius is 42. Now we can solve for the circumference:

C = 2[tex]\pi[/tex](42)

C = 84[tex]\pi[/tex]

C = 263.89

The circumference is approximately 263.89 mm. Now we need to convert the millimeters to centimeters. There are 10 millimeters in 1 centimeter, so divide the circumference by 10:

263.89/10 = 26.389

The circumference is approximately 26.389 cm. The answer choice that our answer is closest to is the first answer choice.

4 + 2n

The constant in an expression is the value that doesn't change. After 2 and n are multiplied, that value will be different, so their values aren't constant. So, in this expression, 2 is the coefficient, n is the variable, and 4 is the constant.

Hope this helps :)

Answer:

The equation for this line in slope-intercept form (y = mx + b) is y = [tex]\frac{5}{4}[/tex]x + 2, because the rise (5) over the run (4) is the slope aka 'm', and the line touches the y-axis at the point (0,2) In this ordered pair the y-value is 2, so the y-intercept, or 'b', is equal to 2.

4 (correct me if I'm wrong)

a. Complete the model below using the ratio from Example 1, part (b). b. Complete the model below now using the rate listed below. 3. Dave can clean pools at a constant rate of 3/5 pools/hour. a. What is the ratio of pools to hours? b. How many pools can Dave clean in 10 hours? c. How long does it take Dave to clean 15 pools? 4.

Please consider marking brainliest! :)

Answer:

Step-by-step explanation:

{ - 9, - 4, - 1}

Answer:

the answer is 4

the slope would be 4/1 which simplifies to 4

Answer:

m=1/4

Step-by-step explanation:

When counting from your first point, you could think of it like this:

"up 1 over 4"

1/4

HTH :)

Answer:

47 reams of paper were used

Step-by-step explanation:

23,500 divided by 500 equals 47

Answer:

47 reams

Step-by-step explanation:

23,500 sheets were made, then you divide by 500, bc each ream has 500. And you get 47 reams of paper :)

Answer:

8/3  or 2   2/3

Step-by-step explanation:

so we take 3/4 and flip it. 2 x 4/3= 8/3  or   2    2/3

Hope this helps :3

The Quotient is 8/3.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2 divided by 3/4

As, division is not possible in fraction so we will perform the multiplication

= 2  ÷ 3/4

= 2 x 4/3

= 8/3

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Answer:315

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c is the one that divides and a fraction is just division

Answer:

The missing value in the solution to

the equation will be:

Step-by-step explanation:

Given the equation

[tex]y+2\:=-3\left(x\:-\:4\right)[/tex]

As the value of y = -2 is given.

so substituting the value y = -2 in the equation to find the missing value

[tex]\left(-2\right)+2\:=-3\left(x\:-\:4\right)[/tex]

switch the sides

[tex]-3\left(x-4\right)=\left(-2\right)+2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]-3\left(x-4\right)=-2+2[/tex]

[tex]-3\left(x-4\right)=0[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]

[tex]\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}[/tex]

[tex]x-4=0[/tex]

[tex]x=4[/tex]

Therefore, the missing value in the solution to

the equation will be:

Answer:

$1,320

Step-by-step explanation:

First you divide $2.640 with 2 and tah da

Answer:

the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Step-by-step explanation:

Given the equations

[tex]x + y + z = 12[/tex]

[tex]y=1[/tex]

[tex]x - y - z = 0[/tex]

As

[tex]y=1[/tex]

We can get the value of x by adding the first and third equation

so

[tex]x + y + z = 12[/tex]

[tex]x-y-z=0[/tex]

so the equations become

[tex]x+x+y-y+z-z=12+0[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

Putting x = 6 and y=1 in the first equation [tex]x+y+z=12[/tex]

[tex]6 + 1+ z = 12[/tex]

[tex]7 + z = 12\\z = 12 -7[/tex]

[tex]z = 5[/tex]

Therefore, the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Answer:

x= 4+5i

Step-by-step explanation:

The values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.

Given is a quadratic equation, x²-8x+41 = 0, we need to find the values of x,

Since, 41 is a prime number, which can not be factorized so, we will use quadratic formula,

x = [-b ± √(b²-4ac)] / 2a

Here, a = 1, b = -8, c = 41

Therefore,

x = [8 ± √(8²-4(41))] / 2

= [8 ± √(64-164)] / 2

= [8 ± √(-100)] / 2

= [8 ± 10i] / 2

= [4 ± 5i]

Therefore, x = 4+5i or x = 4-5i

Hence, the values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i

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irrational numbers never end.

r: 2.3495, 65.4279, 39, 7, 54, 2.45, 64, 20, 6, 1.3, 7101.

ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...

Answer:

lets see every 2kg bag its 15.98 so every 4kg its 31.96 and for every 6kg its 47.94 so if every 1kg its 7.99 so add 47.94 + 7.99 you get 55.93

Step-by-step explanation:

Answer:

hi! the slope formula is y2-y1 / x2-x1 ! so (-6,0) (2,-2)

your x1 is -6 and y1 is 0 and x2 is 2 and y2 is -2!

using the formula, -2-0/2--6 is 4

so your slope is 4!

the y intercept is solved by

the slope intercept formula y= mx+b

I hope you've memorized both formulas!

b is your y intercept so let's set the equation up!

pick a point it can be either point we'll do (-6,0)!

now y=mx + b

m is your slope and y is the y coordinate of the point (-6,0) that we chose!

b is what we will solve

so! 0=4(-6)+b

0= -24 + b

now it's basic algebra!

24= b

I hope this helps!

In conclusion, slope is 4 and y intercept is 24

memorize slope formula and slope intercept formula and you can do this!

The values you should plot to show a linear relationship is;

C. "Day" on the x-axis and "Log(bacteria)" on the y-axis

The table for the relationship between days and number of bacteria is;

Days       Bacteria          log bacteria

0               2                      0.301

1                5                      0.699

2               8                      0.903

3                15                    1.176

4                33                   1.516

5               65                    1.813

We see from the table that bacteria is showing exponential growth  

Thus, if log of bacteria is plotted against day, it will show a linear relationship.

Therefore, the graph will be plotted as Day on the x-axis and Log(bacteria) on the y-axis  

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Answer:

1st and 3rd are functions, 2nd and 4th are not functions

Step-by-step explanation:

Answer:

Function : 1 , 3

Not a Function : 2 , 4

Step-by-step explanation:

Using the vertical line test for the first two, and the last two you are able to tell because each input (x) can only have one output (y).

Step-by-step explanation:

Given Equation :-

On comparing :-

Slope of perpendicular line :-

Using Point slope form :-

Answer:

A) a²-2a+2a-4 the a is correct check my explanation to understand the answer.

Step-by-step explanation:

(a+2)(a-2)= a²-2a+2a-4