Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in the ratio 1:3. Show your work.

3√3

√27 =

= √3×9

= √3×3²

= 3√3

Answer:

m = -3/2

Step-by-step explanation:

The slope of a line is equivalent to the formula:

m = slope = rise/run = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given the two coordinate pairs, we can label them accordingly.

In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.

Therefore, with this information, we can label the coordinate pairs with this info.

[tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is the default labeling system for two coordinate pairs.

Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.

[tex]m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}[/tex]

Answer:

12

Step-by-step explanation:

84÷7=12

you can check by multiplying 12x7=84

12

×7

84.

Answer:all you do is divide 84 by 7 which is the answer you should get is 12

Greetings from Brasil....

Looking at the figure we can say that:

DF = 9X - 39

DE = 47

EF = 3X + 10

inserting these data in the 1st expression....

DF = DE + EF

9X - 39 = 47 + (3X + 10)

9X - 39 = 47 + 3X + 10

9X - 3X = 57 + 39

6X = 96

X = 96/6

X = 16

EF = 3X + 10 anb X = 16, so

EF = 3·16 + 10

EF = 48 + 10

Answer:

-30

Step-by-step explanation:

I'm assuming the equation is [tex]4m-n[/tex]. If it is not please tell me.

If we know the values of m and n, we can just substitute inside the expression.

[tex]4(-7) - 2\\\\-28 - 2\\\\-30[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

hi......

.

........

........

you just add these functions:

(f+g)(x)=4x+8+2x-12=6x-4

domain of this function is still all reals (R)

Answer:

Solution: y - 4 = 1 / 12(x + 4)² or Option B

Step-by-step explanation:

Since the directrix is vertical, use the equation of a parabola that opens up or down -

(x - h)² = 4p(y - k)

Remember that the vertex, (h, k) is halfway between the directrix and focus. Therefore we can find the  y  coordinate of the vertex using the formula y = y coordinate of focus + directrix / 2.The  x -coordinate will be the same as the  x  coordinate of the focus.

Vertex: (- 4, 7 + 1 / 2) = (- 4,4)

Now we can find the distance from the focus to the vertex. The distance  from the vertex to the directrix is  represented by | p |. We can subtract the  y  coordinate of the vertex from the  y -coordinate of the focus to find  p.

p = 7 - 4 = 3

Substitute the known values for these variables into the given equation (x - h)² = 4p(y - k) to get our solution.

(x + 4)² = 4(3)(y - 4),

(x + 4)² = 12(y - 4)

1 / 12(x + 4)² = y - 4

y - 4 = 1 / 12(x + 4)² ~ As you can see your solution is option b.

Answer:

D.  5 weeks

Step-by-step explanation:

A population of pea aphids double every week beginning with 300 aphids.

Week 1:   300 × 2 = 600

Week 2:  600 × 2 = 1200

Week 3:  1200 × 2 = 2400

Week 4:  2400 × 2 = 4800

Week 5:  4800 × 2 = 9600

It will take 5 weeks

Answer:

[tex]x \leqslant 2[/tex]

Step-by-step explanation:

The point is shaded which means its is equal to and since the arrow goes to the left it is less than. Therefore x is less than or equal to 2

Answer:

you got this

Step-by-step explanation: be a smart person like you are

Hey there! I'm happy to help!

Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.

Here is our system of equations.

0.25q+0.1d=1.85

q+d=11

We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.

-2.5q-d=-18.5

q+d=11

We combine the equations.

-1.5q=-7.5

We divide both sides by -1.5

q=5

Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.

Have a wonderful day!

Answer:

Each guest got 3. (if he doesn't have any for himself).

Step-by-step explanation:

if each guest is x

30=10x

divide by 10

x=3

hope this helps and if you want please consider giving me brainliest! :)

Answer: Factor the numerator and denominator and cancel the common factors.

7x/6+5/6

Step-by-step explanation:

Answer:

it would be -3x-6

Step-by-step explanation:

if you distribute right you will change the two and the positive change into a negative and the last one x is not by itself plus it only change to one

Answer:

the answer is 7.1

Step-by-step explanation:

the tenth is the first number after the decimal point.

Answer:

x=1.5

Step-by-step explanation:

We are trying to get x  by itself to see what it equals.

6(2x+3)=36

So first you want to distribute you proprieties.  You do that by multiplying 6 and 2x.  Then multiplying 6 and 3.

12x+18=36

Now in equations where you need to find the variable, whatever you  do on one side of the equal sign, you have to do on the other side.  So now we want to subtract 18 from both sides.

12x+18=36

     -18  -18

Then we divide 12 from both sides.

12x=18

÷12   ÷12

Now you have your answer!

x=1.5

Answer:

v = 180

Step-by-step explanation:

324 = 144 + v

v = 324 - 144

v = 180

Answer:

v = 180

Step-by-step explanation:

The equation is basically 324 = 144 + v

Then you just solve the equation:

324 = 144 + v

-144 = -144

180 = v

Hope this is what you were looking for.

Answer:

6.5 * 10 ^5

Step-by-step explanation:

650,000

Scientific notation is of the form

a * 10 ^b where a is between 1 and less than 10

Move the decimal 5 places to the left

6.50000

5 becomes the exponent b,  since we moved it to the left, the exponent is positive

6.5 * 10 ^5

Answer:

the answer is:6.5times 10to the power of 5

Answer:

A

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

the product of the external part and the whole of the secant is equal to the square of the tangent, that is

48(48 + x) = 60² = 3600 ( divide both sides by 48 )

48 + x = 75 ( subtract 48 from both sides )

x = 27 → A

dear friends answer is

x= 27

Answer:

152

Step-by-step explanation:

Multiply 19 and 8

Answer:

The answer is 92.14

Step-by-step explanation:

Answer:yes it is greater

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

[tex] \sqrt{13 \: } \: is \: not \: greator \: than \: 3.5[/tex]

Because, root 13 means 3.60 also,

So, when you see 3.5 and 3.6 then it's obvious that 3.6 is greator.

Or if you see it in fractional form.

it will be,

18/5 and 7/2.

when we take a like term,

18×2/10 and 7×5/10

They will be ,

36/10 and 35/10.

Which implies 36/10>35/10.

So, the answer is root 13 is not greator than 3.5.

Hope it helps....

Answer:

300.

Step-by-step explanation:

This is the LCM.

15  = 3 * 5

20 = 2 * 2 * 5

25 = 5 * 5

One 5 appears in all 3  factors so we only use this once in the calculation:

LCM = 2 * 2 * 3 * 5* 5 = 300

El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

a. Cuánto tiempo le tomará a ambas realizar el trabajo?

Answer:

3.6 horas

Step-by-step explanation:

Sea el número total de horas que ambos trabajaron = T

Deje que la cantidad total de letras por las que pasaron = 1

De la pregunta, se nos dice:

Lourdes necesitó 6 horas para revisar las cartas.

Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras

Rosabel tardó 9 horas en leer las letras.

Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras

Por lo tanto,

(1/6 × 1) T + (1/9 × 1) T = 1

(1/6 + 1/9) T = 1

(3 + 2/18) T = 1

(18/5) T = 1

5T / 18 = 1

Cruz multiplicar

5T = 18

T = 18/5

T = 3.6 horas

Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.

Answer:

14 3/8 pounds

Step-by-step explanation:

6 pounds plus 8 pounds= 14 pounds. 1/4 + 1/8= 3/8. 1/4 can be turned into 2/8, and 2/8 plus 1/8 equals 3/8. Hope this helps :)

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

Answer:

[tex]\csc(x)=5/3[/tex]

Step-by-step explanation:

So we know that:

[tex]\tan(x)=3/4[/tex]

Recall that tangent represents the side opposite over the side adjacent.

This means that the opposite side is 3 while the adjacent side is 4.

Therefore, by using the Pythagorean Theorem, we can solve for the third side, which is the hypotenuse:

[tex]a^2+b^2=c^2[/tex]

Substitute a for 3 and b for 4. Thus:

[tex]3^2+4^2=c^2[/tex]

Square and add:

[tex]9+16=c^2\\25=c^2[/tex]

Square root:

[tex]c=5[/tex]

Now, recall that cosecant is the reciprocal of sine. So, find sine first.

Sine is opposite over hypotenuse. From tangent, the opposite is 3 and the hypotenuse as we now know is 5. Thus:

[tex]\sin(x)=3/5[/tex]

And cosecant is the reciprocal of that. Thus:

[tex]\csc(x)=5/3[/tex]

And that's our answer :)