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3 years ago

Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

4 0

Answer:

The slope intercept equation of the line is:

Step-by-step explanation:

- They give us 2 parametric equations to arrive at y = mx + b (Slope intersection equation)

1. X = 8t + 3

2. Y = 9t + 3

- We first convert in terms of t to compare both equations:

1. x = 8t + 3

x - 3 = 8t

t = (x - 3) / 8

- Same for the following:

3. y = 9t + 3

y - 3 = 9t

t = (y - 3) / 9

- Now equating by comparing both equations, we will find y:

(x - 3) / 8 = (y - 3) / 9

9x -27 = 8y -24

9x - 3 = 8y

- Clearing and comparing both parameters gives us:

y = (9/8)x - 3/8

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Step-by-step explanation:

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3 years ago

Researchers investigated the possible beneficial effect on heart health of drinking black tea and whether adding milk to the tea

Elanso [62]

Answer:

(a) It is an experiment.

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Step-by-step explanation:

24 volunteers are randomly selected to one of the three groups.

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3 years ago

What is an equation of the line that passes through the point (8,-5) and is parallel

HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0

3 years ago

Can someone please answer step by step?

alukav5142 [94]

Answer:

George is correct

Step-by-step explanation:

if the jacket is in sales for 20% off, Jane's coupon would give her a discount of 10% on top of the already discounted 20%.

Jane is incorrect because, if she added the 2 discount together, she gets a total of 30%, but that is a 30% discount of the original price of $75 which isn't correct. what we want to do is find how much the jacket cost after 20% discount THEN use the coupon to get a further 10% discount on the sales price of the jacket. and for this reason, George is correct.

hope this helped

3 0

3 years ago