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3 years ago

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Determine which equation is parallel to the line JK and which is perpendicular to like JK

2 answers:

sattari [20]3 years ago

3 0

Answer:

If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and $y = - \frac{1}{m}x + b$ will be perpendicular to that.

Step-by-step explanation:

Let us assume that the line JK has the equation in slope-intercept form as

y = mx + c ............. (1)

Therefore, the equation has slope = m

Now, any straight line having an equation with slope m will be parallel to line JK.

So, the equation of the straight line which is parallel to equation (1) will be

y = mx + c', where, c' is any real constant.

Now, let us assume that another straight line having equation

y = nx + a is perpendicular to the line JK i.e. equation (1).

Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.

So, mn = - 1

⇒ $n = - \frac{1}{m}$

Therefore, the equation of a straight line which is perpendicular to equation (1) will be $y = - \frac{1}{m}x + b$ where b is any real constant. (Answer)

nignag [31]3 years ago

3 0

Answer:

You havent showed us a picture of the graph so how are we going to help you

Step-by-step explanation:

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AysviL [449]

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3 years ago

Translate this sentence into an equation: 162 is the product of 9 and Gall's age. Use the variable g to represent Gall's age.

oksano4ka [1.4K]

The equation is
9 × g = 162
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Solving foe Gall's age,
9g = 162
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3 years ago

Readme [11.4K]

Answer: You have a better chance if you do not replace the red marble.

Step-by-step explanation:

The bag has:

5 red marbles

8 blue marbles

4 yellow marbles

3 green marbles

A total of 5 + 8 + 4 + 3 = 20

You want to draw a red marble and then a blue marble.

The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:

P1 = 5/20

now you want to draw a blue marble.

If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:

P2 = 8/20

The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1

If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:

P2 = 8/19

The joint probability is:

P = P1*P2 = (5/20)*(8/19) = 0.105

The probability is slightly bigger if you do not replace the red marble.

7 0

3 years ago

Read 2 more answers

Can someone help me out with this one?

Juliette [100K]

I recommend u use the app called photomath. It works a lot.

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3 years ago

-5+7q+ -5q+ -9q please help

vekshin1

For this case we must simplify the following expression

$-5 + 7q + (- 5q) + (- 9q)$

We know that, by definition:

$+ * - = -$

So, rewriting the expression we have:

$-5 + 7q-5q-9q =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major's sign is placed:

$-5 + 2q-9q =\\-5-7q$

Answer:

$-5-7q$

5 0

3 years ago