Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12, -13) is simone's claim true or false

Answers

Answer 1

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

[tex](x_1,y_1) = (-2, 7)[/tex]

[tex](x_2,y_2) = (3, 0)[/tex]

Line 2:

[tex](x_1,y_1) = (2, 1)[/tex]

[tex](x_2,y_2) =(12, -13)[/tex]

Required

Is Simone correct?

Slope (m) is calculated using:

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

For Line 1

[tex]m = \frac{0 - 7}{3 - (-2)}[/tex]

[tex]m = \frac{0 - 7}{3 +2}[/tex]

[tex]m = \frac{-7}{5}[/tex]

[tex]m = -\frac{7}{5}[/tex]

For Line 2:

[tex]m = \frac{-13 - 1}{12 -2}[/tex]

[tex]m = \frac{-14}{10}[/tex]

Divide by 2/2

[tex]m = \frac{-14/2}{10/2}[/tex]

[tex]m = \frac{-7}{5}[/tex]

[tex]m = -\frac{7}{5}[/tex]

By comparison, both lines have the same slope.

Hence, Simone is correct


Related Questions

One wee, Ethan earned $391.00 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $102.00

Answers

Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

What number is 9% of 118?

Answers

Answer:

10.62 is the correct answer ☺

The correct answer is 10.62 or 11 rounded:)

A rectangular lot is 20 yards longer than it is wide and its area is 2400 square yards. Find the dimensions of the lot

Answers

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

Answer:

W = 40

L = 60

Step-by-step explanation:

L = 20 + W

L*W = 2400

(20 + W)*W = 2400

W^2 + 20*W - 2400 = 0

(W + 60)*(W - 40) = 0

W = 40 (yards)

L = 20 + W

= 20 + 40 = 60

W = 40

How do I do a and b someone pls help

Answers

Pythagoras theorem a^2 + b^2 = c^2
A = x, B = x + 2, C = x + 3
(a). x^2 + (x+2)^2 = (x+3)^2
(b). Expand
X^2 + (x+2)(x+2) = (x+3)(x+3)
x^2 + x^2 + 4x + 4 = x^2 + 6x + 9
x^2 = 2x + 5
x^2 - 2x - 5 = 0

What is the value of x?

Answers

6x+6x+8x=180
20x=180
x=9

At the first track meet, Bobby threw the shot put feet. At the second track meet he threw the shot put feet.
Which of the following expressions could be used to find the distance he improved his throw from the first track meet to the second track meet?
A. 423/4 + 44 1/2
B. 42 3/4 - ( -44 1/2 )
C. 44 1/2 - ( 42 3/4 )
D. 42 3/4 - 44 1/2

Answers

Answer: it has to be D

Answer:

The Answer is D) Just did the test!!

Step-by-step explanation:

A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"

Answers

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

it's asking me to order them from least to greatest how do I do that with tables ​

Answers

Hi there! Hope this helps.

Answer:

Look below.

Step-by-step explanation:

I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.

Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.

Write an expression equivalent 6x+3y-4x+2

Answers

2x+3y+2 bc you subtract 6x-4x bc they are like terms and the other terms stay the same

8. When is a/b equal to an integer?
B=0

B<1

B>1

B=1 or -1



50 pointa for person who answers

Answers

B=1 or -1 I think I’m not sure or it B=0

the table shows conversions of common units of length.


Unit of Length

Customary System Units

Metric System Units

1 inch

2.54 centimeters

1 foot

0.3048 meters

1 mile

1.61 kilometers


1 yard = 3 feet

1 yard = 36 inches


Which shows the best path to find the number of centimeters in 1 yard?

yards Right-arrow inches Right-arrow centimeters

yards Right-arrow feet Right-arrow centimeters

centimeters Right-arrow feet Right-arrow inches

centimeters Right-arrow feet Right-arrow yards

Answers

Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one

Answers

Answer: sorry i’m late ..

but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place

Step-by-step explanation:

i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!

Circle A has a diameter of approximately 20 inches and an area of 314 in2 (approximately 300 in2) Circle B has a diameter of approximately 60 inches and an area of 2826 in2 (approximately 2700 in2) Circle C has a diameter of approximately 40 inches. Find the area of Circle C and explain or show your reasoning.

Answers

Answer:

1256.8in^2

Step-by-step explanation:

Step one:

Given data

Circle A

diamteter= 20 in

Area= 314 in^2 approx. 300in^2

Circle B

diamteter= 60 in

Area= 2826in^2 approx. 2700in^2

Step two:

Circle C

diamteter= 40 in

radius= 20 in

The expression for A is given as

A=πr^2

A=3.142*20^2

A=3.142*400

A=1256.8

The area of circle C is 1256.8in^2

Nolan uses 3 yards of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?

Answers

Answer:

18

Step-by-step explanation:

6×3=18

Answer:

18

Step-by-step explanation:

What is the measure of angle SUT?
A) 35
B) 70
C) 110
D) 290

Answers

The answer is 110 degrees. The sum of all the angles need to equal 180

Answer:

C

Step-by-step explanation:

35+35+x=180

x=180-70

x=110

Solve for k
p(k + 12) = 8 – 4k

Answers

Solve for k:

k = 4 (2 − 3p)/p + 4

Answer:

k =  4(2 - 3p)/(p + 4).

Step-by-step explanation:

p(k + 12) = 8 – 4k

pk + 12p = 8 - 4k

pk + 4k = 8 - 12p

k(p + 4) = 8 - 12p

k = (8 - 12p)/(p + 4)

k = 4(2 - 3p)/(p + 4).

can some one help me with this please and show me how to do this?

Answers

Answer:

1.8

Step-by-step explanation:

Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them together

:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)

Answers

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

A rectangular field is to be enclosed by a fence and divided
into two parts by another fence. Find the maximum area
that can be enclosed and separated in this way with 800 m
of fencing

Answers

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

Please hurry I need this fast

Answers

C. It’s C because those are vertical angles and not alternate Interior angles

Answer:

c

Step-by-step explanation:

help pleaseeeeeeeeee​

Answers

Answer:

C.

Step-by-step explanation:


Is 4 to 7 the same as 7 to 4? Explain why or
why not?

Answers

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

Answers

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

Please help!!!!!! ASAP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

5. A line has a slope of (-3/2) and a
y-intercept of (-4). Write the equation of
the line.
Explanation:

Answers

Using the formula y=mx+b we know that m=slope and b= y-intercept. So what your just doing is plugging in. So it would be Y= -3/2x-4 . I hope that helps! ^^

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

2 ¿Cuál es la relación entre el área del dibujo a escala y el área de la cancha de baloncesto real? escala 4.2 pulgadas A. Muestra cómo puedes hallar el área de 1 pulgada : 20 pies D. ¿La razón entre el área real y el área del dibujo es la misma que la razón entre la cancha en el dibujo a escala B. Muestra cómo puedes hallar la longitud y el ancho de la cancha real. C. ¿Cuál es el área de la cancha de baloncesto real? Muestra tu trabajo. las longitudes reales y las longitudes del dibujo? Explica tu respuesta,​

Answers

Answer:

i don't have the answer but this is the translation guys

Step-by-step explanation:

What is the relationship between the area of ​​the scale drawing and the area of ​​the actual basketball court? 4.2 inch scale A. Show how you can find the area of ​​1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of ​​the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,

HELP! After finding area explain the reasoning you used to find the area and I’ll give brainliest!

Answers

Answer:

The answer is 180 yds squared.

Step-by-step explanation:

Segment the areas.  One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.

Find the 15th term of the geometric sequence 2, 6, 18,...

Answers

Answer:

          a₁₅ = 9 565 938

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]

Answer:

9 565 938

Step-by-step explanation:

Number of band members beyerhighschool in Orange County

Answers

Answer:

its answer is in high school is ten

There are 180 white lockers in the school. There are 3 white lockers for every 5 blue locker. How many lockers are in the school?

Answers

Answer:

There are 480 lockers in school.

Step-by-step explanation:

480

Step-by-step explanation:

180÷3=60

60x5=300

300+180=480

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