All categories

3 years ago

The set of points R(-1, 1), S(2, 4), T(6, 8) are collinear and the line has a slope of _____.

Mathematics

1 answer:

KiRa [710]3 years ago

8 0

Answer:

slope of the line is (1)

Step-by-step explanation:

Set of points are R( -1, 1 ) S( 2, 4 ) and T( 6, 8 )

We have to find the slope of the line for which these points are collinear.

Since we know slope m = $\frac{y-y'}{x-x'}$

for points R and S m = $\frac{4-1}{2-1}$

= $\frac{3}{3}$ = 1

Therefore, slope of the line is (1)

You might be interested in

F(x) = 2x² + 8x Find f(-1)

inysia [295]

Answer:

-6

Step-by-step explanation:

2(-1)^2 + 8*-1 = 2*1+8*-1=2-8=-6

8 0

3 years ago

Read 2 more answers

What Expression is equivalent to -3(2m-1)-n

denis-greek [22]

Answer:

-6m+3-n

Step-by-step explanation:

-3 x 2m = - 6m

-3 x - 1=3

5 0

3 years ago

In a batch of 440 water purifiers, 8 were found to be defective. What is the probability that a water purifier chosen at random

LiRa [457]

Answer:

1.8% or 1.818181%

Step-by-step explanation:

If in a batch of 440 water purifiers, we find 8 to be defective.

Then the probability of the next purifier being defective is 8/440

In percentage = 8/440 * 100

=> 8/44 * 10

=> 8/22 * 5

=> 40/22

=> 20 / 11

20/11 is roughly 1.8181818

Rounding it to the nearest tenth, we get 1.8%

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

3 0

3 years ago

Functions A,B and C are linear functions. Some values of function A are shown in the table. Function B has y-intercept of (3,0)

cricket20 [7]

Answer:

In order of increasing slope:

B: y = 0

A: y = 2x-3

C: y = 3x+1

Step-by-step explanation:

(3,3), (5,7), and (6,9) are points on line A.

Use the coordinates of two of the points to find the slope of A.

Δy =7-9 = -2

Δx =5-6 = -1

Slope = Δy/Δx = 2

Equation for line of slope 2 that passes through (3,3):

y-3 = 2(x-3)

y = 2x-3

(3,0) and (5,0) are points on line B. They are horizontally aligned, so the equation for line B is y=0. Slope = 0.

You were given the equation for C: y = 3x+1. Slope = 3

In order of increasing slope:

B: y = 0

A: y = 2x-3

C: y = 3x+1

8 0

3 years ago

You must calculate the number of sheets of plywood needed for subflooring. Each sheet of plywood measures 4'by 8. The measuremen

snow_lady [41]

Answer:

25 sheets of plywood will be needed

Step-by-step explanation:

Each sheet of plywood measures $4ft*8ft=32ft^{2}$ .

We have to cover the surface of the house, minus the surface of the hole of the stairs.

$Surface _{to cover} = Surface _{house} -Surface _{hole}= (28ft*30ft)-(12ft*4ft)= 840ft^{2}-48ft^{2}=792ft^{2}$

To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet

$Sheets_{needed} =\frac{Surface _{house}}{Surface _{sheet}} =\frac{792ft^{2}}{32\frac{ft^{2}}{sheet} } = 24,75 sheets$

As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.

8 0

3 years ago