For what value of x, the slope of the line passing through P(-2,-8) and Q(5,x) is 1?

Answers

Answer 1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, x would represent, [tex]y_2[/tex]. Therefore...

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\1=\frac{x-(-8)}{5-(-2)}\\1=\frac{x+8}{5+2}\\1=\frac{x+8}{7}\\\\Multiply\ 7\ to\ both\ sides\\\\7=x+8\\\\\ Subtract\ 8\ from\ both\ sides\\\\x=-1[/tex]


Related Questions

Not sure what to do for this one

Answers

If the triangles are scaled,

[tex]10/4 = 2.5[/tex]

[tex]4(2.5) = 10[/tex]

[tex]5(2.5) = 12.5[/tex]

[tex]12.5 - 5[/tex]

[tex]x=7.5[/tex]

someone plsss help - find x ​

Answers

Answer:

96 + 150 + 2x + x = 360⁰

240 + 3x = 360⁰

3x = 120

x = 40⁰ hope it's help you

Answer: 58

Step-by-step explanation:

Since the shape has 5 sides, the sum of the internal angles is (5-2)*180 = 3*180 = 540 degrees.

Therefore, 96+150+120+2x+x = 540

386 + 4x = 540

3x = 174

x = 58

Select the correct answer.
What is the value of x?

Answers

Answer:

7.5

Step-by-step explanation:

Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information: Day 1 4 students Day 2 9 students Day 3 5 students Day 4 7 students Day 5 6 students What data would be on the horizontal axis?

Answers

Answer

Days

Step-by-step explanation:

Then number of blue shirts worn on the vertical

The mean of 6 numbers is 34.Calculate the sum of the numbers​

Answers

Answer:

mean = fx/n

34= fx/6

34×6 = fx

fx = 204

sum= 204

M = f/x. (M=mean ,f=sum of no. ,

x = total no.)

36 = f/6

f=36×6

f = 216

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please please please please please please

A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase.
There is no sales tax on the purchase.
Part A
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit card?

Answers

Answer:

So the amount to pay is $1 and 20 cents ( or a total of 120 cents)

Step-by-step explanation:

determine the next three terms of 0,10,21,33,46,60​

Answers

Answer:

75, 91, 108

Step-by-step explanation:

Honestly I just used a pattern calculator, if you can look one up.

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In the diagram below lines HA and BC are parallel. If angle GEC = 135, what is angle DEC?

Answers

Answer:

45

Step-by-step explanation:

angles on a straoght line = 180

180-135=45

The angle DEC is 180°-135°=45°.

What is the angle o a straight line?

The angle in a straight line says that the sum of all the angles on a straight line is 180°.opposite vertical angle is the two opposite angles on a parallel line at the point of intersection.

         angle y=135°   (opposite vertical angle).

The angle on a straight line is 180°

         angle y+z=180°

What's a perspective?

In-plane Geometry, a parent that is fashioned via two rays or lines that shares a not unusual endpoint is called an angle. The phrase “attitude” is derived from the Latin phrase “angulus”, because of this “nook”. the two rays are known as the edges of an angle, and the not unusual endpoint is known as the vertex.

   

Learn more about the straight lines here:-https://brainly.com/question/24024505

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1/2,7/8,3/4 in least to greatest order

Answers

To find which of the set of numbers is the least or greatest, we must find the value of them:

1/2 = 0.57/8 = 0.8763/4 = 0.75

Thus the numbers from least to greatest is 1/2, 3/4, 7/8

Hope that helps!

An isosceles triangle has an angle that measures 94º. Which other angles could be in that
isosceles triangle? Choose all that apply.
43°

81°
59°

Answers

Answer:

43°

Step-by-step explanation:

In a isosceles triangle, two angles HAVE to be equal.

This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.

Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)

94+94+x=180

188+x=180

There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.

x+x+94=180

2x+94=180

Subtract 94 from both sides

2x=86


Divide both sides by 2

x=43

Therefore the answer is 43°

Which statements are true about squares? Select all that apply.

Answers

Answer:  B, C, D

Step-by-step explanation:

Are correct:

B) Diagonals are perpendicular

C) Consecutive Angles are Supplementary

D) Diagonals bisect angles

Not correct:

A) Diagnols are congruent to sides is not correct the because diagonals of a square are congruent to each other, not to the sides

10 points
Based on what you know about the information provided in the
graph and the roots or solutions of an equation,which function,
in factored form, does the graph below represent?*
O y = (x - 12)(x + 4)
O y = (x - 3)(x +4)
O y = (x - 12)(x-4)
O y = (x + 3)(x-4)

Answers

The function that forms the polynomial is (x + 3)(x - 4) = y

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic.

Quadratic polynomial is of degree two and has two roots.

From the graph:

x = -3 and x = 4

(x + 3)(x - 4) = y

The function that forms the polynomial is (x + 3)(x - 4) = y

Find out more on Polynomial at: https://brainly.com/question/2833285

2. An object is launched at an upward velocity of 96 feet per second from the top

of a building 160 feet above the ground. Use the vertical motion model

h=-16t+vt+c where h is the ending height of the object, c is the initial height, in

feet, of the object, t is the time in seconds, and v is the velocity of the object

Answers

Answer:

3,304

Step-by-step explanation:

The ending height of the object is 304 feet.

Given that, an object is launched at an upward velocity of 96 feet per second from the top of a building 160 feet above the ground.

The vertical motion model is [tex]h=-16t^2+vt+c[/tex].

Here, c=160 and v=96

Now, [tex]h=-16t^2+96t+160[/tex]

Maximum h is at axis of symmetry.

Thus, [tex]t=-\frac{b}{2a}[/tex]

[tex]= -\frac{96}{2\times(-16)}[/tex]

[tex]= -\frac{96}{(-32)}[/tex]

[tex]= 3[/tex]

Substitute [tex]t=3[/tex] in [tex]h=-16t^2+96t+160[/tex], we get

[tex]h=-16\times3^2+96\times3+160[/tex]

[tex]= -16\times9+288+160[/tex]

[tex]= -144+448[/tex]

[tex]= 304[/tex]

Therefore, the ending height of the object is 304 feet.

Learn more about the velocity here:

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if the car spends no time going 35 mph how long would the trip take?

Answers

This would depend on how far the destination is. If it’s 70 miles away, it’ll take 2 hours to get there. I’m sorry this isn’t the best, but I don’t have a lot of information to go off of :(

Alyssa is getting gas for her car. Her car’s 15-gallon tank has 15
1
5
of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answers

Answer:

$32.38

Step-by-step explanation:

15/.2=3 so Alyssa has 3 gallons already

15-3=12 making the equation 12x2.699

12x2.699=32.388

round to the nearest cent

=$32.38

Answer? Please help quickly

Answers

The answer is A. See the photo below:

Which of the following is NOT true about parallelograms?

options:

a parallelogram is a rectangle


a parallelogram is a quadrilateral


a parallelogram has no lines of symmetry


a parallelogram has 2 sets of parallel lines

Answers

Answer:

C

Step-by-step explanation:

Parallelograms have lines of symmetry

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Triangle DEF has vertices D(4,8), E(12,16), and F(-4,-12). The triangle is dilated with a scale factor of ¼ . What are the coordinates of D’E’F’?

Answers

Dilation factor=1/4

Total increase in coordinates=1/4=0.25=0.25

Now multiply each coordinates with 1.25

D=(4,8)

D'=4(0.25),8(0.25)=(1,2)

E=(12,16)

E'=12(0.25),16(0.25)=(3,4)

F(-4,-12)

F'=-4(0.25),-12(0.25)={-1,-3)

The area of a trapezoid is 500 square inches. The bases of the trapezoid are 16 inches and 24
inches. What is the height of the trapezoid, in inches?

Answers

Step-by-step explanation:

area = ½ (a+b) x h

500in² = ½ (16+24) x h

500in² = ½ (40) x h

500in² = 20 x h

500in²

20 = h

h = 25 inches :)

Distribute to write an equivalent expression. 2n * (n ^ 2 + 3n + 4)

Answers

Answer:

C. 2n^3 + 6n^2 + 8n

Explanation:


It takes 12 men 5 days to complete a job. Work out how many days it would take 3 men to complete the same job.

Answers

Answer:

20 days

Step-by-step explanation:

It takes 12 men 5 days to complete a job. Work out how many days it would take 3 men to complete the same job.

12 * 5 = 60

60/3 = 20

It will take 3 men 20 days to do the same job

If anyone could help me soon it would be much appreciated.

Answers

Answer:

x² - 12x + 27

given:

f(x) = x² - 11x + 24g(x) = x - 3

solve function:

→ f(x) - g(x)

→ x² - 11x + 24 -(x - 3)

→ x² - 11x + 24 - x + 3

→ x² - 11x -x + 24 + 3

→ x² - 12x + 27

f(x)-g(x)x²-11x+24-(x-3)x²-11x+24-x+3x²-11x-x+24+3x²-12x+27

Done!

Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with a monthly income of $3,200. A. $256 b. $512 c. $640 d. $896 Please select the best answer from the choices provided A B C D.

Answers

The answer is a. $256

Step-by-step explanation:

The computation of the maximum allowable recurring debt is shown below:

Given ratio = 28:36

And the monthly income is $3,200

So the maximum expense on housing = 28% of $3,200 = $896

And, the maximum expense on total debt = 36% of $3,200 = $1,152

Now the maximum alloweable recurring debt is

= $1,152 - $896

= $256

How to calculate the probability distribution function of a random variable.

Answers

Answer:

[tex]P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Step-by-step explanation:

P = binomial probability

x = number of times for a specific outcome within n trials

[tex]{n \choose x}[/tex] =  number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

Groundhog's Day is on February 2nd each year. On this day, in Punxsatawney, Pennsylvania, thousands of onlookers watch to see if Phil, the groundhog, will cast a shadow. If he does, then six more weeks of winter are predicted. If he doesn't, then an early spring is predicted. Historically, Phil's prediction has only been correct about 40% of the time.

Using complete sentences, design a simulation to determine the probability that Phil's prediction will be correct at least two out of the next three years. Make sure to explain how you would use the simulation to determine the probability.

Answers

Answer:

In the theory of chances, it states that no matter what the average, chance can change it no matter what. Like someone getting good chances in a video game 2 times in a row. its rare, but compared to how many people play the game and how often, it was bound to happen at some point. the chances could be tiny, but it could still happen. just like if 100 monkeys were on typewriters typing 60 wpm, one would eventually type Abraham Lincoln. low chance, but if all these monkeys are doing it enough, it would happen eventually. so, it is entirely possible that 2/3 of his next predictions will be correct.

Step-by-step explanation:

The largest 5-digit number minus the smallest 4-digit number is equal to …

Answers

[tex]Answer:[/tex]

4999999999999999+e 313

The number is technically infinite, but since it's the largest multiple of 5, we can't make it infinite. So in this case, use the line method to represent the instance that it will go on, and on, and on.

The last number will end in 6, because any multidigit number with all 0's after the number, minus 4, is that number followed by 6 in the ones place.

please please help i will mark you brainlist

Answers

Answer:

b)  $0.15c + $125 = $305

c = number of cookies baked

Adrienne baked 1200 cookies in one day

Step-by-step explanation:

Expenditure:

ingredients = $125labor/baking = $0.15 per cookieTotal = $305

Part A

b)  $0.15c + $125 = $305

Part B

c = number of cookies baked

Part C

   0.15c + 125 = 305

⇒ 0.15c = 305 - 125

⇒ 0.15c = 180

⇒ c = 180 ÷ 0.15

⇒ c = 1200

Adrienne baked 1200 cookies in one day

My teenage brother plays on his computer game for 15 hours each day. How many hours will he have played on his computer in a week?

Answers

Answer:

self awareness it's is to know more about your self

Answer:

105

Step-by-step explanation:

Maria buys a pair of earrings for $12. 50, a necklace for $15. 50, and a shirt for $21. 98

Answers

12.50
15.50
+21.98
= $49.98 you just have to add i believe

abcd is a parallelogram and ab is produced to x such that ab=bx as shown in figure. show that dx and bc bisect eachother at o.​

Answers

Answer:

is a parallelogram and ab is produced to x such that ab=bx as shown in figure. show that dx and bc bisect eachother at o.

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