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balu736 [363]
3 years ago
6

What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

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Please answer both of these questions. :) Thank you!
son4ous [18]
Answers:
Wood Question: 860 millimeters
Heigh Question: 73 centimeters

Explanations:
Wood Question: You can get this result by doing 7.74/9 because you are dividing 7.74 meters into 9 pieces and you will get 0.86, AKA 86 centimeters. Then, you need to multiply that by 10 to convert it into millimeters and 86(10) is 860.

Height Question: First, you want to do 1.46/2 and you will get 0.73. 0.73 meters is equivalent to 73 centimeters, and since you know Jaxson is two times his sister's height, you know that you can leave it at that, therefore your final answer is 73 centimeters.
7 0
2 years ago
A rock is dropped from the top of a 2000-foot building. After 1 second, the rock is traveling 32 feet per second. After 2 second
alexandr402 [8]

Using the pairs (1,32) and (2,64) the rate of speed is (64-32 / 2-1 = 32 feet per second.

To find the rate of decent you would multiply the rate by time:

The equation is y = 32x

B. Replace x with 15 and solve for y:

Y = 32(15)

Y = 480

The rate of speed is 480 feet per second.

8 0
2 years ago
Really need help on my correction if anyone know please help!!
Olin [163]
Answers: 
<u>Question 19:</u> 177 bpm
<u>Question 20:</u> 95˚F

Explanations:
<u>Question 19:</u>
You had the formula set up properly like this:
R =  \frac{885 \sqrt{25} }{25}  =  \frac{885(5)}{25}  =  \frac{4425}{25} 
This is where you went wrong - I don't know exactly what you did, but your division of 4425 ÷ 25 is wrong. You should have ended up with 177 which is the correct answer. 
<u>Question 20:</u>
You had the formula set up correctly again, and merely used the wrong sign when adding 32. 
F =  \frac{9(35)}{5} + 32 =  \frac{315}{5} + 32
This is where you went wrong. You subtracted 32 from 63 when you should have added it. (See red circle on your subtraction.)
63 + 32 = 95˚F
7 0
3 years ago
Which diagram shows the correct electron configuration for fluorine (F)?
daser333 [38]

Answer:

it is the first one i think

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The cost of painting the total outside surface of a closed cylindrical tank at 60 paise per meter squae is Rs237.60. The height
valkas [14]

Answer:

volume=509.25 dm^{3}

Step-by-step explanation:

Curved surface area=\frac {237.6}{0.6}=396 dm^{2}=2\pi R(R+H) where R is radius and H is height

Since H=6R then curved surface area=2\pi R(R+6R)=14\pi R^{2}

Therefore,  

396 dm^{2}=14\pi R^{2} and making R the subject

R=\sqrt {\frac {396}{14\pi}}=\sqrt {(9.003622)}= 3.000604 m

Therefore, H=6R=6*3.000604=18.00362 m

Volume=\pi R^{2}H=\pi*3.000604^{2}*18.00362=509.2453 dm^{3}

Therefore, volume=509.25 dm^{3}

6 0
2 years ago
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