All categories

2 years ago

Find the equation of the line that passes through the points (3,-2) and (6,-8)

Mathematics

1 answer:

Karolina [17]2 years ago

3 0

Answer:

$2x + y = 4$

Step-by-step explanation:

The two-point form of the equation of a line is:

$y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

We have:

x1 = 3

y1 = -2

x2 = 6

y2 = -8

Plug in all the values where they belong in the equation above.

$y - (-2) = \dfrac{-8 - (-2)}{6 - 3}(x - 3)$

Simplify.

$y + 2 = \dfrac{-6}{3}(x - 3)$

$y + 2 = -2(x - 3)$

$y + 2 = -2x + 6$

$2x + y = 4$

You might be interested in

if 1 inch represents 14 feet, what dimension would you use to make a scale drawing of a building 44 feet by 50

8_murik_8 [283]

3.14 by 3.57 just divide those numbers by 14 and round to the hundredths place

8 0

2 years ago

Please answer this correctly

Alex Ar [27]

Answer:

Area of the figure = 254.5 cm²

Step-by-step explanation:

Area of rectangle = Length × Width

Area of triangle = 1/2(base × Height)

Dividing the figure into parts for convenience

So,

Rectangle 1 (the uppermost):

4 × 6 = 24 cm²

Rectangle 2 (below rectangle 1):

15 × 8 = 120 cm²

Rectangle 3 (with rectangle 2):

11 × 4 = 44 cm²

Triangle 1 :

1/2(7 × 19) = 133/2 = 66.5 cm²

Now adding up all to get the area of the figure:

Area of the figure = 24 + 120 + 44 + 66.5

Area of the figure = 254.5 cm²

5 0

3 years ago

The length,AB of the rectangular lot is 1 foot less than two times its width, BC. If the perimeter of the rectangular lot 394 fe

r-ruslan [8.4K]

Answer:

$AB=131\ ft$

Step-by-step explanation:

we know that

The perimeter of the rectangular lot is

$P=2(AB+BC)$ ----> equation A

where

AB is the length

BC is the width

we have

$AB=2BC-1$ ---> equation B

$P=394\ ft$ ----> equation C

substitute equation B and equation C in equation A

$394=2(2BC-1+BC)$

solve for BC

$394=2(3BC-1)$

$394=6BC-2$

$6BC=396$

$BC=66\ ft$

Find the value of AB

$AB=2BC-1$

$AB=2(66)-1$

$AB=131\ ft$

6 0

3 years ago

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Burka [1]

Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
$2x^{2}+10x-4x-20=area$
Simplify:
$x^{2}+6x-20=area$

3 0

3 years ago

Convert 1 over 8 to a fraction

MArishka [77]

1
-
8 that is the same as 1 over 8

6 0

2 years ago

Read 2 more answers