Segment Addition Postulate: If PQ = x - 5, QR = 2x - 1, and PR = 21, find x. 3 points
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Answer:

The slope is 3/1 or 3.

Step-by-step explanation:

The slope equation is y2-y1/x2-x1. Plug the coordinates into the equation and you get -6-3/-1-2 = -9/-3 = 9/3 = 3/1 = 3.

Answer:

The three integers are

11, 13, and 15.

Step-by-step explanation:

We shall consider the integers as

x, (x+2), and (x+4). The sum of these is 39, so we can write:

x+(x+2)+(x+4)=39

Open the brackets and simplify.

x+x+2+x+4=39 3x+6=39 Subtract 6 from each side.3x=33 Divide both sides by 3.x=11 Therefore: (x+2)=13and (x+4)=15

Answer:

The three integers are 11, 13, and 15 .

Step-by-step explanation:

We shall consider the integers as x, ( x + 2 ) , and ( x + 4 ) . The sum of these is 39, so we can write:

x + (x + 2) + (x + 4) = 39

Open the brackets and simplify.

x + x + 2 + x + 4 = 39

3x + 6 = 39

Subtract 6 from each side.

3x = 33

Divide both sides by 3.

x=11

Therefore: (x + 2) = 13 and (x + 4) = 15

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Answer:

(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35

Step-by-step explanation:

Given:

2x - 5 and 3x2 + 5x - 7

Product of two values means multiplication of the two values

(2x - 5) (3x^2 + 5x - 7)

6x^3 + 10x^2 - 14x - 15x^2 - 25x + 35

Collect like terms

6x^3 + 10x^2 - 15x^2 - 14x - 25x + 35

Simplify

6x^3 - 5x^2 - 39x + 35

(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35

Therefore product of 2x - 5 and 3x2 + 5x - 7 is 6x^3 - 5x^2 - 39x + 35

Answer:

D = 4.2

Step-by-step explanation:

-5.5 ( d - 2 ) = - 12.1

-5.5d + 11 = - 12.1

11 + 12.1 = 5.5d

23.1 = 5.5d

d = 23.1 ÷ 5.5

d = 4.2

Answer:

16, 16, 32, 32

Step-by-step explanation: If you take 92 and divide it by 4 you get 24 but you need one side to be longer than the other, subtract 6 and you get 16, and 16x2 is 32, if you add 16+16+32+32 you get 96.

Answer:

Hello...

Step-by-step explanation:

Answer:

Yes, it is possible.  Hope this helps!

Step-by-step explanation:

Answer:

Number 25

C. I and III.

and 26 is B

Answer:the answer would be 3 ) For every 1 cup of peanut butter, there is 5 cups of cookie dough

Step-by-step explanation:

Answer:

1) [tex]\frac{dy}{dx}=12x^2+6x-6[/tex]

2) [tex]x\leq-1\text{ or } x\geq 1/2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]y=4x^3+3x^2-6x-1[/tex]

Part A)

We want to find the derivative of the above function. So:

[tex]\frac{dy}{dx}=\frac{d}{dx}[4x^3+3x^2-6x-1][/tex]

Expand:

[tex]\frac{dy}{dx}=\frac{d}{dx}[4x^3]+\frac{d}{dx}[3x^2]+\frac{d}{dx}[-6x]+\frac{d}{dx}[-1][/tex]

Use the power rule. Therefore, our derivative is:

[tex]\frac{dy}{dx}=3(4x^2)+2(3x)+(-6)+(0)[/tex]

Simplify:

[tex]\frac{dy}{dx}=12x^2+6x-6[/tex]

Part B)

We want to find the range of the values of x such that:

[tex]\frac{dy}{dx}\geq 0[/tex]

So, all we have to do is substitute our derivative in:

[tex]12x^2+6x-6\geq0[/tex]

And solve for this quadratic inequality!

Solve it normally. Pretend the inequality is with an equal sign. So:

[tex]12x^2+6x-6=0[/tex]

Divide everything by 6:

[tex]2x^2+x-1=0[/tex]

Factor. We can use -2 and 1. So:

[tex]2x^2+2x-x-1=0[/tex]

From the first two terms, factor out 2x.

From the third and fourth terms, factor out a negative. So:

[tex]2x(x+1)-(x+1)=0[/tex]

Grouping:

[tex](2x-1)(x+1)=0[/tex]

Zero Product Property:

[tex]2x-1=0\text{ or } x+1=0[/tex]

Solve for x in each case:

[tex]x=1/2\text{ or } x=-1[/tex]

So, the zeros of our function is -1 and 1/2.

Looking above, we can see that this is a greater than inequality.

Since this is a greater than inequality, our solution is all values to the left of the first zero and all values to the right of the second zero.

Therefore, our solution is:

[tex]x\leq-1\text{ or } x\geq 1/2[/tex]

In interval notation, this is:

[tex](-\infty,-1]\cup[1/2,\infty)[/tex]

So, for all values within the above interval, our derivative, dy/dx, will be greater than or equal to 0.

And we're done!

Edit: Typo. Brainly is rather buggy right now.

Hey there! I'm happy to help!

We see that Kevin travels 12 1/2 miles in 1/3 hours. We want to see how far he travels in one hour. To do this, we simply multiply by 3!

12 1/2×3=37 1/2

Therefore, Kevin travels at 37 1/2 mph.

Have a wonderful day! :D

Answer:

3

Step-by-step explanation:

1. One= $25 Two= $40 Three= $55

2. One= $35 Two= $45 Three= $55

Answer:

You would find it in the 1st quadrant (top-right) on the y axis

Hope this helps

Answer:

{3, 4, 5, 6, 7, 8, 9, 10, 11}

Step-by-step explanation:

Let integer be x

x > 2 and x < 12

gives

2 < x < 12

All such integers are {3, 4, 5, 6, 7, 8, 9, 10, 11}

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

:)

According to the first scale, 2 red balls = 1 star.

According to the second scale, 2 triangles = 1 star

So,

1 triangle = 1 red ball

1 star = 2 red balls

1 red ball = 1 red ball

Therefore, 2 + 1 + 1 = 4 red balls

The last scale needs 4 red balls

Answer:

0.2

Step-by-step explanation:

0.002 x 10 as it is 1/10 of the size

The answer is 0.2.

Here,

We have to find the number as 'the answer to 0.02 is 1/10 of the number.'

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

Let the number is x.

Then, By given condition the expression is written as;

0.02 = (1/10) * x

(1/10) * x = 0.02

x = 0.02 * 10

x = 0.2

Hence, The value is 0.2

Learn more about the mathematical expression visit:

https://brainly.com/question/1859113

#SPJ2

Answer:

45

Step-by-step explanation:

You do 30 divided by 2 = 15. then you do 15+30=45, and boom, there is your answer

Answer:

D. -1.8c+0.7

Step-by-step explanation:

Combine like terms so

1.9c-3.7c= -1.8c

2.1-1.4=0.7

Answer:

D.0.7 - 1.8c​

Step-by-step explanation:

1. Simplify the Like terms.

(2.1-1.4)+(-3.7c-1.9c)

2. Simplify

0.7-1.8c

Answer:56000

Step-by-step explanation:

Answer:

-27

Hope this helps.

Answer:

I need only only only 0 rupees

Answer:

see below

Step-by-step explanation:

3.) How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?

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

1. dog walking:

6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour

$10,800 in 3 months

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

2.  private swim instructor

6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour

$7,200 in 3 months

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

3.  sandwich maker

6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour

$6,030 in 3 months

Answer:

Well, the club can buy atleast 15 canvases

Step-by-step explanation:

If they have 350 left, Minus 125, = 225

What they can buy, 225 divided by 15 = 15.

That is a difficult one

Assuming A, B and C are all on the same straight line, this means,

AB+BC = AC

through the segment addition postulate.

So,

AC = AB+BC

AC = (6x+2)+(5x+3)

AC = 6x+2+5x+3

AC = (6x+5x)+(2+3)