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g100num [7]
3 years ago
14

Find the equation of the line which passes through the point

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

y= \frac{1}{5}x- \frac{56}{5}

Step-by-step explanation:

We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line

5x + 3y = 2y - 3

Let's simplify the equation of the line to get:

3y - 2y = - 5x + 3

y = - 5x + 3

The slope of this line is -5.

The perpendicular to this line has a slope of

\frac{1}{5}

The equation going through (6,-10) is

y=m(x-x_1)+y_1

We substitute to get;

y= \frac{1}{5} (x-6) - 10

Expand;

y= \frac{1}{5}x- \frac{6}{5}  - 10

y= \frac{1}{5}x- \frac{56}{5}

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Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is pro
vova2212 [387]

Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

y=15x+10

Plug 0 into the equation as x

y=15(0)+10\\y=10

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!

4 0
3 years ago
Solve the following system of equation 5x-y=-4<br> -3x+2y=-6
Delicious77 [7]
X = -2 and y = -6. your welcome :)
8 0
3 years ago
Hi can anybody tell me the answer please
Dmitriy789 [7]

Answer:

x = 14 cm

Step-by-step explanation:

200 000 cm = 2 km

1 cm ............... 2km

x cm ..............28 km

x = 28*1/2 = 28/2 = 14 cm

6 0
3 years ago
Read 2 more answers
The average temperature of kopikoville was reported to be -25 last year this year the average temperature of the kopikoville ros
Ipatiy [6.2K]
A………………….,6,6,.6.65.5.95
5 0
3 years ago
The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.
3241004551 [841]
This is child's play. 

So, basically:
Y=Length of foot
X= Length of your forearm. 
This is simple. Your equation is Y=0.860x + 3.302
So, if you have a forearm (x) that is 17 inches long, then plug in x as 17. This leaves you to evaluate for Y.
New equation: Y=0.860(17) +3.302
Work it out, you get: Y=14.62 + 3.302
Work that out, you get: Y= 17.922 inches long. 
And of course, Y is the foot.

So, your answer: If the forearm is 17 inches long, then the foot is 17.922 inches long. Simple.

So, part 2:
Rate of change. Well, you need slope then, because that's the same thing.
Y=mx+b, Where m=slope
Your answer turns to be 0.860 inches per length of arm, for rate of change.

Skipping the data, as that's only something you'd know.

Yes, it is indeed a function. There can't be any exponents greater than 1 on the placeholder, and it's obviously not a straight line if you plug it in. 

So yeah, it's a function.

~Hope this helps m8







5 0
3 years ago
Read 2 more answers
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