All categories

3 years ago

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

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

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

You might be interested in

Consider the function f(x) = -2x + 5 what is f(5)

zepelin [54]

Answer:

$\displaystyle -5 = f(5)$

Step-by-step explanation:

$\displaystyle -2[5] + 5 = -10 + 5 = -5$

I am joyous to assist you anytime.

4 0

3 years ago

Read 2 more answers

A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the co

laila [671]

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

6 units to the rights is towards the positive x axis

7 units down is towards the negative y axis

R' = (-2+6, 5-7)

R' = (4, -2)

Hence the coordinate point of R' on the plane is (4, -2)

4 0

3 years ago

Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5

Galina-37 [17]

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

width = 2.5 yd
length = 6 yd

⇒ perimeter = (2 x 2.5) + (2 x 6)

= 5 + 12

= 17 yd

Given:

cost of fence = $2.25 per foot

⇒ total cost = 17 x 2.25

= $38.25

7 0

3 years ago

Read 2 more answers

PLEASE HELP I GIVE BRAINLIST! THIS IS ALMOST DUE!

labwork [276]

Answer:

"B A C" 16x20=320

Step-by-step explanation:

8 0

3 years ago

PLZ HELP ME!<br> Directions up above the picture<br> **MATH (Algebra)

Vikentia [17]

Answer:

The answer to your question is t = 1.3 s

Step-by-step explanation:

Data

Equation h(t) = -4.9t² + v₀t + h₀

v₀ = 0 m/s

h₀ = 8 m

t = ?

h = 0 m

Process

1.- Substitute the values in the formula

0 = -4.9t² + 0t + 8

2.- Simplification

0 = -4.9t² + 8

3.- Solve for t

4.9t² = 8

t² = 8/4.9

t² = 1.63

4.- Result

t = 1.27 ≈ 1.3 s

6 0

3 years ago