Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer 1

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

Answer 2

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.


Related Questions

PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP

Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.

How many dozens of
muffins can Garnet make with the flour she has?

Answers

Answer:

6

Step-by-step explanation:

2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.

15 1/2 is the same as 31/2
2 1/2 is the same as 5/2
31/2 divided by 5/2 (keep-change-flip to divide a fraction) —> 31/2 times 2/5
Numerator: 31 times 2 = 62
Denominator: 2 times 5 = 10
Put that together and it’s 62/10 which reduces to 31/5 or 6 1/5 cups

Which statement is true about rectangular prisms?
A. All rectangular prisms have five faces.
B. The bases are always congruent.
C. The lateral faces are always congruent.
D. All rectangular prisms have three lateral faces.

Answers

Answer:

it b

Step-by-step explanation:

Ill give brainliest ------

Answers

Answer:

about 63.59 ft squared

Step-by-step explanation:

9/2 = 4.5--> Radius

Now we use the Area formula: piR^2 (Pi x radius squared)

4.5^2 = 20.25

20.25 x 3.14 = 63.59 -(rounded answer)

Find sin x, sin z, cos x, and cos z. Write each answer as a simplified fraction

Answers

Answer:

sin x=55/73

Sinz=48/73

cosx=48/78

cosz=55/73

Step-by-step explanation:

Using SOHCAHTOA

Is this a function? Why or why not?

Answers

Answer:

no. a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

What is the value of y in 3y + 9 = 45

Answers

Y=12, this is just a guess. Sorry if its wrong.

who would like some points? 23x23x23x23x23x23x23x23
first correct answer = brainliest

Answers

Answer:

78310985281

Step-by-step explanation:

Find an equation of the line perpendicular to y=-2x +6 that passes through the point of (-2,8)

Answers

Answer:

Joe mama

Step-by-step explanation:


The function f(x)= x^2 is graphed above. Which of the graphs below represents the function g(x) = x^2 -3?

Answers

Answer:

bottom left graph

Step-by-step explanation:

The function g(x) is a translation of function f(x). It is the function f(x) moved 3 units down.

The vertex of the parabola of f(x) is (0, 0).

The vertex of the parabola of g(x) is (0, -3).

Answer:

Please find the radius and the circumference will give brainlyest ​

Answers

radius is 3, circumference is 18.85

Lucy bought a broken toy. She repaired it and sold it to her friend. Lucy made the following list to help her calculate her profit. -Price paid for the toy: $5.25 -Cost to repair the toy: $1.33 -Selling price of the toy: $10.00 How much profit did Lucy make by selling the toy?

Answers

Answer:

6.08

Step-by-step explanation:

10.00 - 5.25 + 1.33

Please, multiply the following Algebric sum.........
3ab+2bc, 5bc

Answers

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

How many times does this polynomial change signs?
f(x) = 3x5 – 2x4 – 6x3 + x2 - 4x – 9

Answers

Answer:

3 sign changes from the highest order term to lowest

3. Choose the equation of the line parallel to the line 5 = -10x - 5y that passes through the point (-2,5). A y=-2x + 1 C y=x-5 By=-12x + 5 D y = 5x + 11​

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

The equation is in standard form, first, we need to convert it to slope-intercept form.

5 = -10x - 5y

5 + 10x = -5y

Divide both sides by -5 to isolate y variable.

y = -2x - 1

If the line is parallel, the slope remains the same.

To find the y-intercept, you need to plug the values of x and y into the equation, which is y = 2x + b

5 = -2(-2) + b

5 = 4 + b

1 = b

The equation is -2x + 1

In a promotion at a store, each customer gets a chance to randomly draw a ticket from a box. There are 100 tickets. 20 tickets say "winner" and 80 tickets say "sorry, try again". Assume two customers play and that the ticket is not replaced after the first customer plays.
A) What is the probability that the second customer wins, given that the first customer wins?
B) What is the probability that the second customer loses, given that the first customer wins?
C) What is the probability that the second customer wins, given that the first customer loses?

Answers

Answer:

It's B

Step-by-step explanation:

A professor compares the number of students at his school majoring in statistics, engineering, both, or neither. If the number of students majoring in both is 20, how large is the population?​

Answers

Answer:

1,946

Step-by-step explanation:

251+175+1500+20=1,946

A freight elevator is holding 15,893 pounds of merchandise stored in containers. Another container weighing 3,473 pounds is placed on the elevator. Then a container weighing 5,492 pounds is taken off the elevator. Let w represent the weight that the elevator is holding. Which equation could be used to solve for the the amount of weight the freight elevator is holding after the container is taken off of it?

Answers

Answer: [tex]W=13,874\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Elevator holds [tex]15,893\ \text{Pounds}[/tex] of merchandise

Now, 3473 Pounds of the box is loaded, and then 5492 Pound of the container is taken off

Net weight held by elevator is

[tex]\Rightarrow W=15,893+3473-5492\\\\\Rightarrow W=13,874\ \text{Pounds}[/tex]

Help 10 pts!
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region?
Round answer to the nearest whole percentage?
A. 49%
B. 59%
C. 69%
D. 79%

Answers

Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

What is the probability?

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]

Calculate the area of the half-circle.

Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].

So,

[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]

So,

[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]

Thus, the correct answer is an option (D). i.e., 79%.

Learn more about the probability, here

https://brainly.com/question/24756209

Which is the greatest common factor of
84 and 60?
A 4
B 6
© 12
D
24

Answers

Answer:

12

Step-by-step explanation:

A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?

If a person trys to say to pick a link to find the answer I will report you and email brainly!!​

Answers

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

The equation of the line with slope 4 and y -intercept 4 can be written in the form y = m x + b where the number m is: the number b is:

Answers

Answer: [tex]m:4; \ b=4[/tex]

Step-by-step explanation:

Given

Slope is 4

Y-intercept is 4

For the slope-intercept form of line i.e. [tex]y=mx+b[/tex]

[tex]m=\text{slope of line}\\b=\text{Y-intercept of the line}[/tex]

So, we can write

[tex]y=4x+4[/tex]

[tex]m:4; \ b=4[/tex]

can someone find the area of this/explain how they did it?
thanks ! it means a lot. no links pls !!!

Answers

Answer:  1914 sq. ft

Step-by-step explanation:

area of circle= pi x radius squared

       =3.14 x 10^2

       =3.14x100

      =314

area triangle= 1/2 base x height

           =1/2(20x60)

           = 1/2(1200)

           = 600

area of rectangle= length x width

                 =50 x 20

                  = 1000

add the totals  1000 + 600 + 314=1914 sq. ft.

A metallic cuboid measuring 16cm by 8 cm by 4cm was melted.The material was used to make a cube . What is the length of the cube

Answers

Answer:

Step-by-step explanation:

The volume of the metal cuboid = length x width x height = 16 x 8 x 3 = 16 x 24 = 384 cm^3

If this same cuboid is going to be reshaped, then

The  volume of the cuboid = The volume of the cube

Therefore,

l^3 = 384

l = [tex]\sqrt[3]{384}[/tex]

l = 7.268..

l = 7.27cm ( 2dp)

Hope this helps.

Sam is a second grader and weighs 35 kilograms. How many milligrams does Sam weigh?

Answers

Answer:

35,000,000 miligrams

Step-by-step explanation:

1 kilograms= 1,000,000

1,000,000×35=35,000,000

Determine the solution to the following system of equations.

y = -2x2 + 4x + 8
y = -4x + 16

Answers

Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
6c^2+ 2c^4 - c

Answers

Answer:

Standard form: 2c^4 + 6c^2 - c

Degree: 4th

Leading coefficient: 2

Classification: Trinomial

Step-by-step explanation:

In standard form, you have to put the term with the highest exponent first.

With finding the degree, you just look at the highest exponent and that's the degree. 4 is the highest exponent, so it is to the 4th degree.

The leading coefficient is the number attached to the highest exponent. 4 is the highest and the number attached to it is 2.

Classification goes by how many terms there are. Since there are 3, it's trinomial. Tri as in three.

Bill can throw a football 31 yards and 1 foot. Gil can throw a football 23 yards and 2 feet. How much further can Bill throw the football?

Answers

Answer:

23 ft

Step-by-step explanation:

94 - 71 = 23 feet

Mrs. Fry has 5 children their ages are 5,
10, 12, 15, and 8. What is the mean
age of her children?

Answers

Answer:

The mean of the ages of the Fry children is 8.

Step-by-step explanation:

To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.

5+10+12+15+8 = 40      40/5 = 8

Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make

Answers

My previous answer was incorrect, sorry for that... the correct answer would be 358,800

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{He has 26 letters all together (A - Z)}[/tex]

[tex]\large\text{25 if he starts from his second letter (B - Z)}[/tex]

[tex]\large\text{24 if he starts from his third letter (C - Z)}[/tex]

[tex]\large\text{ 23 if he starts from his fourth letter (D - Z)}[/tex]

[tex]\mathsf{26\times25\times24\times23}[/tex]

[tex]\mathsf{26\times 25 = \bf 650}[/tex]

[tex]\mathsf{650\times24\times23}[/tex]

[tex]\mathsf{650\times24 = \bf 15,600}[/tex]

[tex]\mathsf{15,600\times 23}[/tex]

[tex]\mathsf{ =\bf 358,800}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

No links man and please if you have a question about anything comment it.

Answers

Answer:

29=1/2

30=1/5

31=1/12

32=1/6

33=1/7

Step-by-step explanation:

I just counted the numbers and then put them as fraction.

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