The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.) Please walk me through the question!

Answer:

x² + 24x + 84

Step-by-step explanation:

4 * (x+3)(x+3) - 3 * (x+4)(x-4)

4(x²+6x+9) - 3(x²-16)

4x² + 24x + 36 - 3x² + 48

x² + 24x - 84

Answer:

The product of polynomial [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex] is [tex]\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}[/tex]

Step-by-step explanation:

We need to find the standard form of polynomial that represents the product of [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex]

Finding the product of polynomial

[tex](-2m^3+3m^2-m)(4m^2+m-5)\\=-2m^3(4m^2+m-5)+3m^2(4m^2+m-5)-m(4m^2+m-5)\\=-8m^5-2m^4+10m^3+12m^4+3m^3-15m^2-4m^3-m^2+5m\\Combining\:like\:terms\\=-8m^5-2m^4+12m^4+10m^3+3m^3-4m^3-15m^2-m^2+5m\\=-8m^5+10m^4+9m^3-16m^2+5m\\[/tex]

So, the product of polynomial [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex] is [tex]\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}[/tex]

Answer:

C. x=-5 or x=20

Step-by-step explanation:

Factor [tex]x^{2}[/tex]-15x−100 using the AC method

(x-20)(x+5)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0

x−20=0

x+5=0

Set x−20 equal to 0and solve for x

x=20

Set x+5 equal to 0 and solve for x

x=−5

The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.

x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)

The solutions to the equation x² - 15x - 100 = 0 are:

x = 20 and x = -5.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To use the zero product property to solve the equation:

x² - 15x - 100 = 0.

Factor the left-hand side of the equation:

(x - 20)(x + 5) = 0

Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:

x - 20 = 0 or x + 5 = 0

Solve for x in each equation:

x - 20 = 0

x = 20

x + 5 = 0

x = -5

Therefore,

The solutions to the equation x² - 15x - 100 = 0 are:

x = 20 and x = -5.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ7

Answer:

The numbers are:

{-1, 0, 1, 2, 3}

Step-by-step explanation:

Note: I am assuming "between" does not include the endpoints.

Given the statement

'Four times a number, increased by one, is between negative seven and seventeen'

Let us break down the word statement into small pieces and then combine them to write it into an algebraic expression.

Let x be the number.

4 times a number = 4x

Increase by 1 = 4x+1

between negative seven and seventeen ⇒   -7 < 4x+1  < 17

Thus, the combined statement can be written in an algebraic expression.

-7 < 4x+1  < 17

solving the inequality expression

[tex]-7 < 4x+1 < 17[/tex]

Add -1 to all parts

[tex]-7+-1<4x+1+-1<17+-1[/tex]

[tex]-8<4x<16[/tex]

Divide all parts by 4

[tex]\frac{-8}{4}<\frac{4x}{4}<\frac{16}{4}[/tex]

[tex]-2<x<4[/tex]

Thus, the numbers are:

{-1, 0, 1, 2, 3}

i.e

[tex]-7<4x+1<17\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2<x<4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:4\right)\end{bmatrix}[/tex]

The graph is also attached below.

Answer:

The answer is 1/6y+1/6(y+12)-2

Step-by-step explanation:

I used a math calculator.

Answer:

1/3y+1/3(6-y)

Answer:

D. A kidney is an organ is correct.

Step-by-step explanation:

A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.

A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.

Therefore, the correct answer is D. A kidney is an organ.

Hope this helps! :D

Answer:

length is 13.6m

width is 2.72m

Answer:

y = 0.8x – 4

or

y = 4 /5x- 4

Step-by-step explanation:

the slope is 4/5 or 0.8 either one work :)

Answer:

A, 4, -1

It's reflected over the y-axis, so it goes to the right side.

Answer:

a (4,-1)

Step-by-step explanation:

A is the answer.

Answer:

28098576000

Step-by-step explanation:

Answer:

C. Add the exponents (2+2)

D. Subtract the coefficients. (5-3)

2y^4

I hope this helped! :))

Answer: D.

Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.

Answer:

6. 928 R 3

7. 4/6

8. 2/8

Step-by-step explanation:

To find the difference between 2 values you would subtract.

You would write this as 11-d

Answer: 800.

Step-by-step explanation: Round them both to the nearest ten. That is 40x20.

Answer:

2

Step-by-step explanation:

40/20=2

Answer: 24%

Step-by-step explanation:

45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24

Answer:

b

Step-by-step explanation:

Answer:

b he is your answer dear friend

Answer:

Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.

Answer:

A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.

Step-by-step explanation:

We are given;

chance of rain next week on Monday is 50%. Thus;

P(rain next Monday) = 0.5

chance it rains on Tuesday is 80%. Thus;

P(rain next Tuesday) = 0.8

From independent events, we can say that;

P(A and B) = P(A) × P(B)

A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.

Thus;

P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4

This can also be written as 40%

Correct answer is option A since both events are independent

Answer:

dream

Step-by-step explanation:

why not

Answer:

Mine is 5 minute crafts

I love crafts, so ya. They are pretty popular

please give me brainiest :) !

Answer:

5/7

Step-by-step explanation:

Answer:

A. Substitution

Step-by-step explanation:

You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are

Answer:

7x

Step-by-step explanation:

-x + 8x =

8x - x =

7x

Answer:

9x-9

Step-by-step explanation:

the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution

examples:  9x+1, -9x-8, 10x+3, 12x . . .

Answer:d

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The rate is 5p/m

200 / 40 = 5 and so on...

Answer:

5 calories/minute.

Step-by-step explanation:

To find the rate, take one of the data sets (in my example, 40, and 200) and just divide the number of calories by the minutes to find your unit rate.

200/40

= 5

Answer:

.18

Step-by-step explanation:

Answer:

what are the options and the figures???

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The easiest thing is to convert it to an improper fraction.

-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.

-19/9 - (-37/9) here you would add because you are subtracting a negative number.

-19/9 + 37/9 change it to positive and then add.

-19+37=18

it was 18/9. that simplified is 2.