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3 years ago

Find the equation of the line passing through (2, 3) with gradient 3

1 answer:

3 0

The first thing you should know is the gradient definition for a line.
The gradient of a straight line tells us how much inclination it has. Therefore, the gradient of a line represents the slope of the line.
We have then that the generic equation of the line is:
y-yo = m (x-xo)
Substituting the values:
y-3 = 3 (x-2)
Rewriting:
y-3 = 3x-6
y = 3x-6 + 3
y = 3x-3
y = 3 (x-1)
Answer:
The equation of the line is:
y = 3 (x-1)

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A person standing on a moving walkway travels 80 feet in 40 seconds. What equation represents the relationship? How many feet wi

mars1129 [50]

Answer:

Option B. y = 2x; 20 feet

Step-by-step explanation:

1. Determination of the equation that represents the relationship.

Let y be the distance travelled.

Let x be the time taken.

Let K be the speed.

From the question given above, the following data were obtained:

Distance (y) = 80 ft

Time (x) = 40 s

Speed (k) =.?

Speed = Distance /time

K = y/x ......... (1)

K = 80/40

K = 2 ft/s

Substitute the value of k into equation 1

K = y/x

K = 2 ft/s

2 = y/x

Cross multiply

y = 2x

Therefore, the equation that represents the relationship is y = 2x

2. Determination of the distance travelled in 10 s.

Speed (k) = 2 ft/s

Time (x) = 10 s

Distance (y) =.?

y = 2x

y = 2 × 10

y = 20 ft

Therefore, the person will travel 20 feet in 10 seconds.

From the above calculations, the right answer to the question is

Option B. y = 2x; 20 feet

6 0

3 years ago

Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make

iren [92.7K]

Answer:

$\frac{23}{21} feets$

Step-by-step explanation:

Given.

Sally started with two feets of cloth.

Total cloth = $2 feets$

She used $\frac{1}{3}$ of a foot of the cloth to make a pillow cover.

And another $\frac{4}{7}$ of a foot of the cloth to make a table cloth.

She used total cloth to make a pillow cover and table cloth = $\frac{1}{3} +\frac{4}{7}$

$=\frac{7+12}{21} \\=\frac{19}{21}$

Total used cloth by Sally = $\frac{19}{21}$

The equation for remaining cloth

remaining cloth = total cloth - used cloth

remaining cloth $= 2 - \frac{19}{21}$

remaining cloth $= \frac{2\times 21-19}{21}$

remaining cloth $= \frac{42-19}{21}$

remaining cloth $= \frac{23}{21}$

Sally has remaining cloth = $\frac{23}{21}$ feets

8 0

3 years ago

F(x)=x²-6x+17 [find(x+h)-f(x)]/h<br><img src="https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%20

jeyben [28]

You should try an app called Photomath

4 0

3 years ago

A pizza is divided into 12 pieces. Glenn and Sophie each ate 1/4 of the pizza on Thursday. The next day Sophie ate 1/3 of the pi

Natali5045456 [20]

Answer:

6 slices

Step-by-step explanation:

The full pizza is 12 pieces. Divide 12 by 4 to find out how much she ate on Thursday. 1/4 of 12 is 3 so she ate 3 slices on Thursday. Subtract 3 from 12 to find out how much was left for the next day. There were 9 slices the next day. Next, divide 9 by 3 to find out what 1/3 of 9 is. 1/3 of 9 is 3 so subtract 3 from the 9 slices. 6 slices are the original pizza remain.

3 0

3 years ago

Find the length of the variable w

miss Akunina [59]

Answer:

w = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is

$\frac{BD}{BA}$ = $\frac{DE}{AC}$ , substitute values