| 2. On rectangle ABCD below, if A is located at

(3, 4) and B is located at (7,6), is the slope

of BC ?

necal ve

rec

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

Given that:

A = (3, 4) ; B = (7, 6)

In triangle ABCD, AB and BC are Perpendicular lines :

Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)

y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3

Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2

To obtain the slope of BC:

RECALL:

product of the slope of 2 Perpendicular lines = - 1

Slope AB * Slope BC = - 1

1 / 2 * slope BC = - 1

Slope BC = - 1 ÷ 1/2

Slope BC = - 1 * 2/1

Slope BC = - 2

HENCE, slope of BC = - 2


Related Questions

HELP i’m trying to figure this out can anyone help?? the quistion is at the top of the picture.

Answers

Answer:

3/2

Step-by-step explanation:

The first step is finding two points. (4,6) and (0,0) are two easy points to use.

To find the slope, find the change of y over the change of x.

(6-0)/(4-0) = 6/4 = 3/2

Cullen said that multiplying a fraction by a fraction equivalent to 1 always results in a fraction that has the same value as the original fraction. Is he correct?

Answers

Yes. Any number times 1 has no change in value.

Ex:
3/3 * 1/1 = 3/3
because 3x1 = 3

Pleaseeeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

(5x-24)/2 = 3

2.5x - 12 = 3

2.5x = 15

x = 6

Shreks doo doo duhhhhhh

these triangles are similar. Find?

Answers

Answer:

4

Step-by-step explanation:

What negative number equals to the number 10

Answers

The answer to that is - 10
I agree with the person above

Kiri and Peter share some sweets in the ratio 6:7
What fraction of the sweets does Kiri recieve?

Answers

Answer:

6/13

Step-by-step explanation:

Sweets received by Kari = 6

Total number of sweets = 6 + 7 = 13

Fraction of sweets received by Kari = 6/13

fill in the blanks and use each number once​

Answers

I think this is the solution. I don't think you are supposed to use PEMDAS.

LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?

Answers

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

∠A and ∠B are vertical angles.

If m∠A=8x+14 and m∠B=2x+50, what is m∠B?

Answers

m∠B= 57.2

8x+14=2x+50
10x=36
x=3.6

m∠B=2x+50
2(3.6)+50
7.2+50
57.2

I need help finding this angle! I will mark you if you help!

Answers

It's an acute angle because it's smaller than 90 degrees and isn't a straight line.

Answer:

Acute angle

Step-by-step explanation:

James spent 2/5 of his money and saved the rest.if he spent $630 how much money did he save

Answers

Step-by-step explanation:

James will reach the school first

help please????????????????????​

Answers

8,8,8 este primull!!!!!!! sper că te-am ajutat

The mean of {6,8,2,12,5}

Answers

Answer:

6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

6 + 8 + 2 + 12 + 5 = 33

33 / 5 = 6.6

plz mark brainliest

use substitution to solve this. substitute for x, not y
x = -y - 2
0.5x + y = 1

Answers

Answer:

y= 4

Step-by-step explanation:

hope this helps :)

Boris and smidgely share 28 portions of plum pudding in the ratio2:8 and6:1 how many portions does smidgely receive

Answers

Answer:

4

Step-by-step explanation:

In a basketball game Elena scored twice as many points as Tyler Tyler scores four points fewer than Noah and Noah scores three points as Mai of Mai scores 5 points how many points did Elena score

Answers

Full question:

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning

Answer and explanation:

We start from known to unknown. We know that Mai scored 5 points and so we work from here.

Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points

Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points

Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points

unknown variables in Equations

1. 7=w/14
2.42/n=7
3. 324/18=a


Answers

Answer:

w = 98

n = 6

a = 18

Step-by-step explanation:

Question 1)

7 = w/ 14

All you need to do is multiply each side by 14 to find w:

7(14) = W

W = 98

Question 2)

42/n = 7

For this one, first multiply each side by "n":

42 = 7n

and then divide both sides by 7:

N = 6

Question 3)

All you need to do for this question is divide 324 by 18 to find "a":

324/18 = a

a = 18

I hope this helps!

-TheBusinessMan

Calculate the product using partial products

1. 14.9 x 100=

Answers

Answer:

The answer is 1490

Step-by-step explanation:

u just throw the two zeros from the hundred to the back

The correct answer is,

[tex]1490.0[/tex]

what is -24 over 30 simplified

Answers

Answer= -4/5
Step by step explanation
-4/5, you can search it up and change the decimal answer it gives you to a fraction

Combine like terms: -12 +4C -25 + (-6x) + (3c) - (-3x)​

Answers

Answer:

7c-3x-37 , this is correct answer

HELP PLSSSSSESSSSSSSSSSSS

Answers

Answer:

Step-by-step explanation:

10(3)+2(10)(4)+2(3)(4)=30+80+24

                                =134

the path of a toy rocket is modelled by the equation y=-x^2+6x+2, where x is the horizontal distance, in metres, travelled and y is the height, in metres, of the toy rocket above the ground. what is the maximum height of the toy rocket? at what horizontal distance does the maximum height occur?

Answers

Answer:

The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.

Determine the zeros of the relation.

-3x^2 + 11x + 4 = 0

---

3x^2 - 11x -4 = 0

Factor:

3x^2 - 12x + x - 4 = 0

---

3x(x-4) + x-4 = 0

---

(x-4)(3x+1) = 0

---

 

x = 4 or x = -1/3

============================

f(x) = -3x^2+11x+4

How far has the rocket traveled horizontally when it lands on the ground?

4 ft.

==================

What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?

---

max occurs when x = -b/2a = -11/(2*-3) = 11/6

height = f(11/6) = 14.083 ft

84 people attended a play. Of the 84 students 1/3 of them where parents. How many parents were in the adduince

Answers

28 of the people in the audience were parents.

Suzy leaves her house and walks 6 blocks east then
8 blocks south. As the crow flies how far is suzy
from her house?

Answers

Answer:

14 blocks

Step-by-step explanation:

lunch starts at 12:00 and ends at 12:30 how long is lunch? (time answers plz :b)

Answers

Answer:

30 minutes long

it is 30 mins

1. f(x) = 5x – 2

Slope of f = _________

Answers

Answer:

5

Step-by-step explanation:

The slope is 5 which is times to the variable x. Remember, any number times to the variable x which is given in this form, this means that it is the slope.

Hope this helps, thank you !!

what is the y from for 5y+4x=-20 NEED HELP ASAP

Answers

Answer: y=−4/5x−4

Step-by-step explanation:

5y+4x=−20

Step 1: Add -4x to both sides. 4x+5y+−4x=−20+−4x 5y=−4x−20

Step 2: Divide both sides by 5.

y=−4/5x−4

You receive an $18 commission on a
$18 commission on a $300 TV that you
sold. What percent commission did you earn?
What the answer ?

Answers

Answer:

6%

Step-by-step explanation:

300 ÷ 3 = 100

18 ÷ 3 = 6

(Dance class) pleaseeeeeee help

Answers

Answer: freestyle

Step-by-step explanation:

Opens right, a=3, vertex: (-5, -2)

Answers

Answer:

What.... what do you need help with

Step-by-step explanation:

Explanation

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