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kakasveta [241]
3 years ago
7

Write parametric equations of the line -3x+4y=7

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

Answer:

x=t, y=(3/4)t+(7/4)

Step-by-step explanation:

We start by changing the equation the slope-intercept form.

4y=3x+7

y=(3/4)x+(7/4)

then we set x equal to t

x=t

and substitute

y=(3/4)t+(7/4)

that's it.

trapecia [35]3 years ago
6 0

Answer:

x = 1 + t and y = 2.5 + 0.75t

Step-by-step explanation:

Parametric equations are the equations in which the all the variables of the equation are written in terms of a single variable. For example in 2-D plane, the equation of the line is given by y=mx+c, there x is the independent variable, y is the dependent variable, m is the slope, and c is the y-intercept. The equation of the given line is -3x + 4y = 7. The goal is to convert the variables x and y in terms of a single variable t. First of all, take two points which lie on the line. By taking x=1, y comes out to be 2.5 and by taking x=0, y comes out to be 2.5. The general form of the straight line is given by:

(x, y) = (x0, y0) + t(x1-x0, y1-y0), where (x, y) is the general point, (x0, y0) is the fixed point, t is the parametric variable, and (x1-x0, y1-y0) is the slope.

Let (x0, y0) = (1, 2.5) and (x1, y1) = (0, 1.75). Substituting in the general equation gives:

(x, y) = (1, 2.5) + t(1, 0.75). This implies that x = 1 + t and y = 2.5 + 0.75t!!!

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What do you call a person or an institution who invests the money or the
svetlana [45]

An institutional investor is a person or organization that trades securities in large enough quantities that it qualifies for preferential treatment and lower fees. A retail investor is an individual or non-professional investor who buys and sells securities through brokerage firms or savings accounts.

tip: make sure to reword it

3 0
2 years ago
Which ordered pair is a solution of the equation y = 3x+5
Daniel [21]

Answer:

All you have to do is insert the first value where the x is, and the second value where the y is.

y = 3x + 5

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, this is right.

Now, let's check (3,13)

y = 3x + 5

13 = 3(3) + 5

13 = 9 + 5

13 = 14

This is NOT true. So, your answer is: Only (2,11)

Hope this helps!  



7 0
3 years ago
Choose a line parallel to y=-3x+5 ​
vfiekz [6]

Answer:

y = -3x + 6

Step-by-step explanation:

All you can do is change the y intercept, changing the slope will make the line not parallel to the original

7 0
3 years ago
If y = 7 when x = 6, find y when x= -21.
AysviL [449]

Answer:

24.5

Step-by-step explan ation:

y=7

x=6

7/6 y/-21

6y=-21x7

6y=-147

y=24.5

brainliest pls thank you!

5 0
3 years ago
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B
JulsSmile [24]

Answer:

They will do rounds together again in 11 minutes and 40 seconds.

Step-by-step explanation:

Security A rounds every 2 minutes and 20 seconds in the gate 1.

That is, after 2*60 + 20 = 120 + 20 = 140 seconds.

Security B rounds every 1 minute and 40 seconds in the gate 2.

That is, after 1*60 + 40 = 60 + 40 = 100 seconds.

After how many minutes they will rounds together again?

First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:

140 - 100|2

70 - 50|2

35 - 25|5

7 - 5|5

7 - 1|7

1 - 1

lcm(140,100) = 2*2*5*5*7 = 700 seconds

They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.

5 0
3 years ago
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