Mathematics Middle School

Find the slope of the line through the points (-4,6) and (8,4).

A.) -5/6
B.) -1/6
C.) -3/2
D.) -1/2

Answers

Answer 1

The formula of a slope:

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

We have the points (-4, 6) and (8, 4). Substitute:

[tex]m=\dfrac{4-6}{8-(-4)}=\dfrac{-2}{12}=\boxed{-\dfrac{1}{6}}\to\boxed{B.)}[/tex]

Answer 2

Answer:

B) -1/6

Step-by-step explanation:

y₂ - y₁ / x₂ - x₁

4-6 /8-(-4) = -2/12 = -1/6

Related Questions

What is QR to the nearest tenth

Answers

The answer is 36.0 because

Sarah bought a 16 ounce jar of strawberry jam for $3.20. What is the unit price

Answers

Divide 16 by 3.20$. You would get 50 cents per ounce of strawberry jam
Well, the unit price is how much does 1 ounce cost. Since 16 ounces of strawberry jam costs $3.20, divide 3.20 by 16 to find the unit price.
3.20/16=0.2, so the unit price is $0.20.
I hope this helps!
-Raiden

A store charges $280 for coat. This price is 40 percent more than the amount it cost the store to buy. At the end-of-season sale, store employees may purchase any remaining coats at 30 percent off the store’s cost. How much would it cost an employee to purchase the coat at the sale?

Answers

it would cost an employee $140 to purchase the coat at the sale.

Let's break down the problem step by step:

1. The store charges $280 for the coat, which is 40% more than the amount it cost the store to buy. This means that the store's cost (let's call it ( C )) can be found by first determining what 100% of the cost is (since $280 is 140% of the cost, as 100% + 40% = 140%). We can set up the equation:

[tex]\[ 140\% \text{ of } C = $280 \]\[ 1.4C = $280 \]\[ C = \frac{$280}{1.4} \]\[ C = $200 \][/tex]

So, the store's cost for the coat is $200.

2. At the end-of-season sale, store employees can purchase any remaining coats at 30% off the store’s cost. This means they pay 70% of the store's cost. We can calculate this as:

[tex]\[ 70\% \text{ of } $200 = 0.7 \times $200 = $140 \][/tex]

Therefore, it would cost an employee $140 to purchase the coat at the sale.

Organizers of an outdoor concert will use 320 feet of fencing to fence off a rectangular VIP section. What is the maximum area that they can fence off? A) 3,200 square feet B) 6,400 square feet C) 12,800 square feet D) 24,000 square feet

Answers

2(l+w)=320

l+w= 160

l=160-w

lw=A

160w-w²= A

w²-160w+A=0


w max= -b/(2a)= 160/2= 80 ft


Max A = 160(80)-(80)²= 6400 ft²

So  B is correct

Answer:

B

Step-by-step explanation:

Find the nonpermissable replacement for x in this expression x^2/-4x-8

Answers

The correct answer for the exercise shown above is: x=-2

 The explanation is shown below:

 1. You have the following expresssion given in the problem above:

 x²/-4x-8

 2. By definition, the nonpermissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.

 3. Keeping this on mind, you have:

 -4x-8=0
 -4x=8
 x=8/-4
 x=-2

  x²/-4x-8= (-2)²/(-4)(-2)-8= 4/8-8= 4/0

 Therefore, as you can see, the answer is x=-2.

help please 38 points

Answers

I’m confused on the same question :(

A map has a scale of 1/2 inch to 4 miles. The shortest distance between two cities on the map measures 8 inches. If d represents the shortest distance between the two cities, what is d?

A. 16 mi.

B. 32 mi.

C. 64 mi.

D. 72 mi.

Answers

The answer would be C because for every 1 inch, would be 8 miles, so we then multiply the inches by 8 to get to 8 inches, so we then multiply the miles by 8 and we get 64 miles.

D = 64 mi.

Answer:

C

TOOK SAME TEST ON EDGE 2021

Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week that Jackson goes to the gym is 2.05. The probability that he goes 0 days is 0.1, the probability that he goes 2 days is , and the probability that he goes 3 days is .

Answers

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

He goes to the gym 0, 2, or 3 days per week.  

Let's assume P(0 days)=p, P(2 days)=q, and P(3 days) = r.

So, p+q+r = 1

E(X)= E(x=0)*P(0 days) + E(x=2)*P(2 days) + E(x=3)*P(3 days)

E(X) = 0*p + 2*q + 3*r = 2q + 3r

Given is the value of P(0 days) = p = 0.1

Given is the expected value of number of days is E(X) = 2.05

Therefore, we have 0.1 + q + r = 1 and 2q + 3r = 2.05

Or, q + r = 0.9 and 2q + 3r = 2.05

Solving the two equations :-

(2q+3r)-2*(q+r) = 2.05-2(0.9)

r = 0.25

q = 0.65

Therefore, P(2 days) = 0.65 and P(3 days) = 0.25

Three times the sum of a number and six

Answers

Answer:

3(x+6)

Step-by-step explanation:

Alice paid $17.00 for 2 beads for her bracelet. Then she paid $42.50 for 5 more of the same kind of beads for her bracelet. Which is the price of one bead?

Answers

Your answer should be 8.5! if thats not one of your answer choices then round it then your answer would be 9! I hope this helped.

Answer:

Step-by-step explanation:

Tshonda is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy?

XYZ-Tronic
price - $629
mail-in rebate $150
TEC-U-COMP
price - $649
discount 25% off

Answers

The above me is clearly wrong. However, the reason I'm not going to post an actual answer is because this post is over 2 years old and there is a good chance the they aren't even in school anymore.

Finding the median in a data set?

Answers

To find the median in a set of data, arrange all the numbers from least to greatest.

Find the number in the middle.

If there are two numbers in the middle, find the mean of those two numbers.

3+45456688888876777888888

Answers

The answer is 45456688888876777888891
45456688888876777888888 + 3 = 45456688888876777888891

Hope this helps! :)

factor 1/5 out of 1/5x+29/5

Answers

Okie, we do the factor
we have 1/5 x+ 29/5= 1/5 x+ 1/5 x29= 1/5(x+29)

And we have done
Have a good day
Final answer:

To factor 1/5 out of the algebraic expression 1/5x + 29/5, we remove the common term 1/5. This leaves us with 1/5 * (x + 29), not altering the value of the original expression.

Explanation:

To factor 1/5 out of 1/5x+29/5, we first need to understand what factoring entails. Factoring is basically expressing an algebraic equation as a product of its factors.

Step 1: Look at the expression '1/5x + 29/5'. We can see that '1/5' is common in both terms.

Step 2: Factor out the common term, which in this case is '1/5'.

So the expression '1/5x + 29/5' factored out would be '1/5 * (x + 29)'. Throughout this process, we have not changed the value of the original expression, only rewritten it in a different form.

Learn more about Factoring here:

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9. Find the constant of variation, k, for y= –8 when x = 12.

show your work

Answers

The answer to this question depends on whether x and y are directly or inversely related.

Since you have not provided the relation between the two variables, I will provide the answer in both cases.

1- In case x was directly proportional to y:
This means that as x increases, y increases and vice-versa.
Translating this into an equation, we would get the following:
y = kx
where k is the constant of proportionality.
Now, we are given that:
y = -8 at x = 12
Substitute with these givens in the above equation to get k as follows:
-8 = k * 12
k = -8/12
k = -2/3

2- In case x was inversely proportional to y:
This means that as x increases, y decreases and vice-versa.
Translating this into an equation, we would get the following:
y = k / x
where k is the constant of proportionality.
Now, we are given that:
y = -8 at x = 12
Substitute with these givens in the above equation to get k as follows:
-8 = k / 12
k = -8*12
k = -96

Hope this helps :)

A ladder is leaning on a fence and it reaches up a wall 20 feet high. The fence is 10 feet from the wall and the base of the ladder is 12 feet from the fence. How tall is the fence, in feet?

Answers

Answer:

10.9 feet

Step-by-step explanation:

The wall, fence and ladder form similar right triangles as pictured

Use the ratio of corresponding sides to solve for x, the fence height

x/12 = 20/(10+12)x/12=20/22x/12 = 10/11x = 12*10/11x = 10.9 feet

The fence is 10.9 feet tall

Evaluate 2^5/2^3

A 1

B 2^8

C 4

D 8

Answers

Hello!

When you divide two exponents with the same base you can subtract the exponents

2^5 / 2^3 = 2^2

2^2 = 4

The answer is C) 4

Hope this helps!
Hello there i really need brainliest so,

to evaluate division you do subtraction with the exponents

2^5/2^3 = 2^2= 2 x 2 = 4

So your answer is C) 4

Hope this helps,
QueenBeauty666

DF bisects EDG find the value of x

Answers

DF bisects <EDG 
so EF = FG
5x + 24 = 9x
4x = 24
  x = 6

answer
D. last one
6

how do you solve for x and y

Answers

Given that the length of the bigger triangle is 2 times the length of the smaller triangle :
⇒ Ratio of the smaller triangle : larger triangle = 1 : 2

x = 34 x 2 = 68 units

Angles in a triangle sum up to 180:
y = 180 - 76 - 41 = 63°

Answer : x = 68 units, y = 63°




9x squared= -18x+7
[tex]9x {}^{2} = - 18 + 7[/tex]

Answers

[tex]-9x^2=-18x+7\ \ \ |+9x^2\\\\9x^2-18x+7=0\\\\a=9;\ b=-18;\ c=7\\\\\Delta=b^2-4ac\to\Delta=(-18)^2-4\cdot9\cdot7=324-252=72\\\\\sqrt\Delta=\sqrt{72}=\sqrt{36\cdot2}=\sqrt{36}\cdot\sqrt2=6\sqrt2\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{18-6\sqrt2}{2\cdot9}=\dfrac{9-3\sqrt2}{9}=\dfrac{3-\sqrt2}{3}\\\\x_2=\dfrac{3+\sqrt2}{3}[/tex]

How is the degree of the product of two polynomials p(x) and q(x) related to the degrees of p(x) and q(x)?

Answers

Take the degree of the highest power of x in each p(x) and q(x).  Add these two degrees together.  That will be the degree of the product of p(x) and q(x).
Final answer:

The degree of the product of two polynomials p(x) and q(x) is equal to the sum of the degrees of p(x) and q(x).

Explanation:

The degree of the product of two polynomials p(x) and q(x) is related to the degrees of p(x) and q(x) by the following rule:

The degree of the product is equal to the sum of the degrees of the two polynomials.

For example, if p(x) is a polynomial of degree m and q(x) is a polynomial of degree n, then the product p(x)q(x) will be a polynomial of degree m+n.

Explain how the segment addition postulate can be modeled using a real-world object.

Answers

To determine the length of AB, one must subtract BC from AC. If the length of AC is 18 and the length of BC is 4, then using this formula yields 18 - 4 = 14, so the length of AB is 14.This postulate also allows a line segment that has only two known points to be broken into two line segments with the addition of a third point in between the endpoints. This is useful for proofs in geometry and analysis.

https://brainly.com/question/1721582



For several months, a restaurant manager collected data on the number of people at a table (p) and the total bill, in dollars (d). She found that there is a positive linear association between p and d that is best modeled by the equation
d = 15.7p + 2.0.

What statement is true?


The model predicts that the average total bill for a table is $15.70.

The model predicts that for each additional 2 people at a table, the total bill increases by $15.70.

The model predicts that the average bill for any table with 2 people is $15.70.

The model predicts that for each additional person at a table, the total bill increases by $15.70.

Answers

The second to last answer would be correct
i believe it should be c

An event is three times as likely as its complement. What is the probability of the event?

Answers

E = some event
C = complement of event E
Since the events are complementary, this means P(E)+P(C) = 1

We know that P(E) = 3*P(C) since "an event is three times as likely as its complement"

So we can replace P(E) with 3*P(C) and then isolate P(C)
P(E) + P(C) = 1
3*P(C) + P(C) = 1
4*P(C) = 1
P(C) = 1/4

The probability of the complementary event is 1/4
So the probability of the original event is 3/4 (three times 1/4)

Answer: 3/4

note: in decimal form, 3/4 = 0.75

Dadas las funciones f(x) = x + 3, g(x)= x(cuadrada)+ 5x + 6,r(x) = x+2, s(x) = x(cuadrada) - 3x - 10

Determina (g(x)) (s(x))

Answers

so the answer is D hope this would help you

Sara hiked down a mountain for 4 hours. Each hour her elevation decreased by 8 meters. Compute her change in elevation to her starting point.

Answers

In order for me to figure out the answer I need the "starting point" all I get from this is how much she decreased in total, which is 32.
Final answer:

Sara's change in elevation is calculated by multiplying 4 hours by -8 meters/hour. This gives a total change in elevation of -32 meters, which shows that Sara descended 32 meters from her starting point.

Explanation:

The subject of your question is math, specifically dealing with the concept of multiplication. To determine Sara's change in elevation, we have to know how much the elevation decreases each hour. It's important to note that the decrease in elevation is the same as saying Sara is descending, thus the change will be represented by a negative number.

In this case, for every hour Sara hiked, her elevation decreased by 8 meters. Therefore, the total change in elevation after 4 hours would be 4 hours multiplied by -8 meters/hour. The calculation for this is:

4 hours * -8 meters/hour = -32 meters

Therefore, Sara hiked down a total of 32 meters from her starting point on the mountain.

Learn more about Change in Elevation here:

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A truck is transporting 6 cars to a dealership. Each car weighs 1 ton 1,400 pounds. What is the total weight in pounds of the cars the truck is transporting?

Answers

1 ton= 2000 pounds

STEP 1:
Convert each car's weight to pounds:

= 2000 pounds + 1400 pounds
= 3400 pounds per car


STEP 2:
multiply each car's weight in pounds by the total number of cars

= 3400 pounds * 6 cars
= 20,400 pounds total


ANSWER: The truck is transporting 20,400 pounds.

Hope this helps!  :)

A rectangle has a perimeter of 34 cm in an area of 52 cm squared it's length is 5 more than twice its width write and solve the system of equations to find the dimensions of the rectangle

Answers

L+W=17 W=4 is the answer.

Let [tex] l [/tex] be the length and [tex] w [/tex] be the width of the rectangle.

Given perimeter of the rectangle

[tex] 2(l+w)=34 \; l+w=17[/tex]

Area of the rectangle is

[tex] lw=52 [/tex]

Also length is 5 more than twice its width,

[tex] l=2w+5 [/tex]

From the above equations

[tex] (l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\
l-w=9,\; since \; l>w [/tex]

Now [tex] 2l=9+17=26\;,l=13,w=4 [/tex]

The dimensions of the rectangle are length [tex] l=13 [/tex], and width [tex] w=4 [/tex].


which is cheaper 6x8 tiles for 1.29 or 4x4 tiles for .99

Answers

- 48 = 1.29

- 16 = .99

16 × 3 = 48
 
3 × 0.99 = 2.97

That equals:

48 = 1.29

48 = 2.97

The cheaper one is 6×8 tiles for $1.29

Hope this helped☺☺

Final answer:

After calculating the cost per square inch for both tiles, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Thus, the 6x8 tiles are cheaper.

Explanation:

To determine which tile is cheaper, you need to calculate the cost per square inch for each tile, and then compare them. The 6x8 tile has an area of 48 square inches (6 inches x 8 inches), and it costs $1.29. To find the cost per square inch, divide $1.29 by 48 square inches.

Cost per square inch for 6x8 tile: $1.29 / 48 = $0.026875

The 4x4 tile has an area of 16 square inches (4 inches x 4 inches), and it costs $0.99. To find the cost per square inch, divide $0.99 by 16 square inches.

Cost per square inch for 4x4 tile: $0.99 / 16 = $0.061875

Comparing these two amounts, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Therefore, the 6x8 tiles are cheaper than the 4x4 tiles.

PLEASE HELP ASAP!!!!!

Answers

accute hope this helps
the answer is scalene. hope this helps : )
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