Question 17
1 pts
Determine whether QR and ST are parallel, perpendicular,
or neither.
Q(-6, 11), R (2, -1), S(-4, 8), T(-1, 10)

Question 171 PtsDetermine Whether QR And ST Are Parallel, Perpendicular,or Neither.Q(-6, 11), R (2, -1),

Answers

Answer 1

Answer:

Perpendicular

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same. Two lines are perpendicular is their slopes are negative reciprocals. And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

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

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

[tex]m=\frac{-1-11}{2-(-6)}[/tex]

Subtract:

[tex]m=-12/8=-3/2[/tex]

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

[tex]m=\frac{10-8}{-1-(-4)}[/tex]

Subtract:

[tex]m=2/3[/tex]

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

Answer 2

Perpendicular     hope this helped


Related Questions

I’m confused on what the answer is. Can anyone help me and explained it?

Answers

Answer: B. 4/5 cups.

Step-by-step explanation:

Ratio number of--> chocolate chips : dozens of cookies made

                           -->               4           :           5

The question ask for 1 dozen of cookies. In the ratio above, it states for 5 dozens of cookies.

Our new ratio would be:

Chocolate chips: dozens of cookies made

                    x     :         1

we turn the 5 in the right side of ratio by dividing by 5 so we must do the same for other side of ratio by dividing 5 with 4.

x=4/5

hence answer is B. 4/5 cups

...to be honest the question si worded the best but i assume this is what it means.

Express your answer in scientific notation.

Answers

Answer:

14.4 × 10^13

Step-by-step explanation:

.........

-6x-2y=9 what is the slope

Answers

Answer:

[tex]\huge\boxed{m=-3}[/tex]

Step-by-step explanation:

The standard form:

[tex]Ax+By=C[/tex]

The slope-intercept form:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

METHOD 1:

[tex]m=-\dfrac{A}{B}\\\\-6x-2y=9\to A=-6;\ B=-2\\\\m=-\dfrac{-6}{-2}=-3[/tex]

METHOD 2:

[tex]-6x-2y=9[/tex]

convert to the slope intercept form:

[tex]-6x-2y=9\qquad|\txt{add}\ 6x\ \text{to the both sides}\\\\-2y=6x+9\qquad|\text{divide both sides by (-2)}\\\\y=-3x-4.5\to m=-3[/tex]

(1 x 1,000,000) + (7 x 1,000) + (2x1,000) + (9 x 100)

Answers

Answer: 1,009,900

Step-by-step explanation:

Answer:

that equals to= 9901.1

Step-by-step explanation:

i added and multiplyed all of that

90 is 12% of what number

Answers

Answer:

750

Step-by-step explanation:

Just divide 90 by 0.12 then it gives you 750. If you want to check it you can multiply 750 by 0.12 and it gives you 90. I got 0.12 from 12% since they're the same thing.

When Arianna left her house,her cell phone was 45% charged started losing charge at a constant rate. 4 hours after leaving her house, the battery had 15% remaining battery life. Write an equation for B in terms of t representing the charge remaining in Arianna battery as a percentage t hours after Arianna left her house

Answers

Answer:

B = 3.75t

Step-by-step explanation:

Given;

initial charge of Arianna's phone = 45%

the charge remaining in Arianna battery = 15%

If after 4hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4hours) 3.75% per hour.

Thus, the charge remaining in Arianna's battery after she left her house is given by;

B = 3.75t

where;

t is time in hours

B is the percentage of charge remaining

In this polygon, which angle is an interior angle?




Answers

Answer:

B° is the interior angle

Step-by-step explanation:

An interior angle is an angle that is formed when two sides of a polygon share an endpoint. Therefore, B° is the interior angle because it is formed when the two sides of the polygon shown share the same endpoint.

Answer:

The correct answer would be

Step-by-step explanation:

"Interior" means "inside". Angle B° is the only one on the inside of the shape.

2. MONEY Lars and Peter both have the
same amount of money in their wallets.
They went to the store together and
decided to buy some cookies, splitting
the cost equally. After buying the
cookies, do they still have the same
amount of money in their wallets? What
property is relevant to help you decide?

Answers

After buying the cookies, they both lost money but still share the same balance because in the question it says they went to the store together and decided to buy some cookies, splitting they cost equally, Key word Equally. since they spent the same amount as one another they still share the same balance.

Greg earned $25 after
mowing lawns for 3
hours. How much will
he earn after 7 hours
at the same rate ?

Answers

he will make 58.1 more in 7 hrs

Answer:

58.50$

Step-by-step explanation:

Given that 7 is a zero of h(x)=x^3-7x^2-3x+21, find the other zeros.

Answers

Answer:

x= 7    x = ±√3

Step-by-step explanation:

h(x)=x^3-7x^2-3x+21

Factor by grouping

h(x) = x^2( x-7)  -3 (x-7)

Factor out an (x-7)

h(x) = (x-7)  ( x^2 -3)

Using the zero product property

0= (x-7)  ( x^2 -3)

x-7 =0     x^2 -3 =0

x=7     x^2 =3

x= 7    x = ±√3

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x + 2y = 4

Answers

Answer:

y= -x+2

Step-by-step explanation:

Equation for this is y=mx+b. we just need to move the x to the other side divide by 2 and we get our answer.

If Ill m, solve for x and y.
(7x -23)
49°
(3x)
(11y – 1)

Answers

Answer:

[tex] x = 18 [/tex]

[tex] y = 5 [/tex]

Step-by-step explanation:

49° + (3x)° = (7x - 23)° (corresponding angles)

[tex] 49 + 3x = 7x - 23 [/tex]

Collect like terms

[tex] 49 + 23 = 7x - 3x [/tex]

[tex] 72 = 4x [/tex]

Divide both sides by 4

[tex] \frac{72}{4} = x [/tex]

[tex] 18 = x [/tex]

[tex] x = 18 [/tex]

(3x)° = (11y - 1)° (corresponding angles)

Plug in the value of x and solve for y

[tex] 3(18) = 11y - 1 [/tex]

[tex] 54 = 11y - 1 [/tex]

Add 1 to both sides

[tex] 54 + 1 = 11y [/tex]

[tex] 55 = 11y [/tex]

Divide both sides by 11

[tex] \frac{55}{11} = y [/tex]

[tex] 5 = y [/tex]

[tex] y = 5 [/tex]

(-3x2 + 5x - 2) - 2(x2 - 2x - 1)
If the expression above is rewritten in the form
ar2+bx+c, where a, b, and c are constants, what is
the value of b ?

Answers

Answer:

(-3x²+5x-2)-2(x²-2x-1)=

-3x²+5x-2-2x²+4x+2=

-5x²+9x, so b, the coefficient of the x term, is 9.

(a=-5 and c=0)

answered Sep 9, 2019 by Rod Top Rated User (795k points)

Step-by-step explanation:

Value of b will be 9

What is quadratic equation?

In algebra , a quadratic equation is any equation that can be rearranged in standard form as ax^2 + b x + c =0 where  x represent unknown and a, b and c are constants .

using algebraic functions , solving given equation

-3x^2 + 5x -2 -2x^2 + 4x + 2

-5x^2 + 9x +0                                       equation 1

now , comparing simplified  equation 1 with general quadratic equation (ax^2 +b x +c ), we get

a=-5

b=9

c=0

so, value of b = 9

Lets learn more about quadratic equations

https://brainly.com/question/2263981?referrer=searchResults

#SPJ2

B=9+ 1/3qa
solve for a

Step by step please!

Answers

Answer:

[tex]a=\frac{3(B-9)}{q}[/tex]

Step-by-step explanation:

Step 1: Write equation

[tex]B=9+\frac{1}{3} qa[/tex]

Step 2: Solve for a

Subtract 9 on both sides: [tex]B-9=\frac{1}{3} qa[/tex]Multiply 3 on both sides: [tex]3(B-9)=qa[/tex]Divide both sides by q: [tex]\frac{3(B-9)}{q} =a[/tex]Rewrite: [tex]a=\frac{3(B-9)}{q}[/tex]

Consider only the discriminant, b2-4ac, to determine whether one real-number solution, two different real-number solutions, or two
different imaginary-number solutions exist.
4x² - 12x+9=0
A.One real solution
B.Two different imaginary-number solutions
C.Two different real-number solutions

Answers

Answer:

A. One real solution

Step-by-step explanation:

The discriminant is used to find the number of real solutions to a quadratic equation.

If the discriminant is greater than 0, there are two real solutions.

If the discriminant is equal to 0, there is one real solution.

If the discriminant is less than 0, there are no real solutions.

All quadratic equations have the format:

ax^2+bx+c

Therefore our values for a, b and c are the following:

a = 4

b = -12

c = 9

Therefore the discriminant is:

(-12)^2-4(4)(9)

144-144 = 0

The discriminant is equal to 0, so there is one real solution (Option A).

Hope this helped!

This is for IXL
The floor of a round hut has a radius of 2 yards. What is the floor's area?
Use 3.14 for ​.

Answers

Answer:

Step-by-step explanation:

Hey, hope you're having a great day. :)

The floor of the round hut suggests that this is a cylinder, so.

Lets assess the formula.

A = 3.14 x r^2

A = 3.14 x 2^2

A = 3.14 x 4

A = 12.56.

Hope this helps!

PLEASE HELP! WILL MARK BRAINLIEST - What is 2(n+1)?

Answers

Answer:

I hope that this helps... (2n-1)

Step-by-step explanation:

1)If n is a natural number, (2n-1) is an odd number for n greater or equal to 2 .

2) Is n is a whole the number the same thing applies but the range of n just has its vertex at -1.(Odd integer)

3)If n is any integer, then the range is all integers from -Infinity to +Infinity.(Odd integer)

4)If n is any complex number, n can be represented in the form of e^i thetha (Euler’s form) but nothing can b e commented on whether it is odd or even.

5)If n is any real number the range of this data can be from -Infinity to +Infinity, nothing can be commented on whether the number is odd or even.

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute? rev/min

Answers

Answer: The wheel make 315 complete revolutions in one minute

Step-by-step explanation: Given speed of convertible =45 miles/hr

To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d

3.14 x 48

C = 150.72 inches

Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.

Answer: it’s 315.3

Step-by-step explanation: A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute?

rev/min

Use the equation y=3.2x + 5 to fill in the table.

Answers

Answer:

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Asap, please answer correctly will mark brainliest if correct

Answers

Answer:

no solutions

Step-by-step explanation:

-3(x-20)=5-3x

-3x+60=5-3x add 3x to both sides

60=5 not true

no solutions

Answer:

no solution

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x−20)=5−3x

Step 1: Simplify both sides of the equation.

−3(x−20)=5−3x

(−3)(x)+(−3)(−20)=5+−3x(Distribute)

−3x+60=5+−3x

−3x+60=−3x+5

Step 2: Add 3x to both sides.

−3x+60+3x=−3x+5+3x

60=5

Step 3: Subtract 60 from both sides.

60−60=5−60

0=−55

Someone please help..

Answers

Answer:

ITS J because the Mlimeters are suppose to be on the other side

Step-by-step explanation:

stream back door by stray kids

Answers

Answer:

Okay

Step-by-step explanation:

Answer:

Okay Stay. I will stream it. Nice to meet you. I am Nancy.

Josie runs 3 miles and burns 252 calories. How many calories does she burn in 1 mile?J HELPP PLZ

Answers

Answer: 84

Step-by-step explanation: 252 divided by 3 = 84

Answer:

Josie can lose 84 calories

Explanation:

If she can run 3 miles and lose 252 calories, 254/3 or 252 divided by 3 equals 84

(2) Un recién nacido tiene alrededor de 26,000,000,000 células. Un adulto tiene unas 4.94 x 1013células. ¿Cuántas veces tiene un adulto que un recién nacido?

Answers

Answer:

54

Step-by-step explanation:

thetvdjsvahchcbdsbh

Factorise this : 2p²-p-10

Answers

Answer:

Step-by-step explanation:

p(2p-1)-10

A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

103 m

Step-by-step explanation:

A pole, its shadow and a tower with its shadow form similar right triangles

Let the tower be x m tall

Then as per similarity we have the ratio of corresponding sides:

47.75/1.53 = x/3.3x = 3.3*47.75/1.53x = 103 m rounded to nearest meter

Solve the absolute value equation.
(2x – 1) = 15

Answers

Answer:

Hello there!^^

Step-by-step explanation:

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

Remove the parentheses Add 1 to both sidesSimplify Divide both sides by 2Finally, you simplify again

~~~~~~~~~~~~~~~~~~~~~~~~~~~

→ 1. 2x-1=15

→ 2. 2x=15+1

→ 3. 2x=16

→ 4. x = 16/2

→ 5. x = 8

Answer: x = 8

Hence, x would equal to 8 (eight)

Your fellow brainly user: xCherryxUwU

#Thanks!

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

solve the proportion 20/3 equals something over six piece of correct option 10 23 40 20​

Answers

Answer:

  [4 over x equals 5 over 10]  

Solve for x, so you need to isolate/get x by itself in the equation.

      Multiply x on both sides

      Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself

8 = x

Step-by-step explanation:

What is 10,000 + 4,000 + 500 + 8 in standard form?

Answers

Answer:

14,508

I hope this helps!

I need to make these into algebraic expressions or equations:5 less than the product of 10 and c, 14 more than 6 times t, the sum of x and y is 18, A number minus 12 is 17

Answers

Answer:  more than y :    

                     y + 6

3 times a number:

x ← a number    

                          3x

5 less than the product of 10 and c :

10c   ← the product of 10 and c

                                        10c - 5

14 more than 6 times t :

6t  ← six times t

                       6t + 14

The sum of x and y is 18:

x+y    ← the sum of x and y

                                 x + y = 18

A number minus 12 is y:

x - a number

                  x - 12 = y              

Answer:

See below

Step-by-step explanation:

Here is translation for you

5 less than the product of 10 and c

-5 + 10*c = 10c - 5

14 more than 6 times t

+14 + 6*t = 6t + 14

The sum of x and y is 18

x + y = 18

A number minus 12 is 17

n - 12 = 17
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