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3 years ago

Help me please I don’t understand how to find the parallel or perpendicular

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So remember that parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals to each other. But first, we have to find out the slope of the original equation. The easiest method to find the slope is to convert this standard form equation to slope-intercept form.

Firstly, subtract 6x on both sides of the equation: $-4y=-6x-3$

Next, divide both sides by -4 and your slope-intercept form is $y=\frac{3}{2}x+\frac{3}{4}$

Now, looking at our slope-intercept form we see that the slope of the original equation is 3/2. Using what we know about parallel and perpendicular lines, the slope of a parallel line is 3/2 and the slope of a perpendicular line is -2/3

You might be interested in

A cricket bat costs $129.25 after tax has been added on at 17.5%. How much did the cricket bat costs before tax was added

Andreyy89

Answer:

The price before tax was $110

Step-by-step explanation:

Here the price paid totals $129.25, including b (the pre-tax price) an 17.5% of b: b + 0.175b = $129.25. Combining the b terms, we get:

1.175b = $129.25. Solving for b by dividing both sides by 1.175, we get

b = $110. The price before tax was $110.

4 0

2 years ago

It says circle the numbers that are prime 21, 3, 18, 51, 2, 17, 6, 1, 91,

uysha [10]

3 and 17 that’s all there is to it, prime numbers are numbers that don’t divide by anything but itself and one

8 0

3 years ago

Kylie recorded the number of squats she could do on each day of her training.

valina [46]

Answer:

your answer will be B)Yes. Each input (day) has exactly one output (number of squats).

Step-by-step explanation:

hope it helps ^_^

3 0

3 years ago

I am confused on numbers 25 and 29, the instructions are at the top.

kvasek [131]

#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
$\sqrt{12-(-4)} = \sqrt{16} = \frac{+}{}4$
Extraneous root in this case is positive four since +4≠-4
 $\sqrt{12-3} = \sqrt{9} = \frac{+}{}3$
In this case it's negative 3, since -3≠3

#29 can be turned into a quadratic equation.
$x= \sqrt{2x+3}$
Square both sides to get
$x^{2}=2x+3$
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
$x^{2}-2x-3=0$
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
 $x= \sqrt{2x+3}$
 $3= \sqrt{2(3)+3}$
 $3= \sqrt{9}$
Extraneous root would be negative 3.

 $-1= \sqrt{2(-1)+3}$
 $-1= \sqrt{1}$
Extraneous root would be positive 1.

Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.

3 0

3 years ago

Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distrib

natali 33 [55]

Answer:

a) X is a discrete random variable.

b) 2% probability of choosing a unit with 10 rooms

c) 98% probability that a unit chosen at random is not a 10-room unit

d) 30% probability that a unit chosen at random has less than five rooms

e) 7% probability that a unit chosen at random has less than five rooms

Step-by-step explanation:

The distribution means that:

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms.

23% probability that a randomly chosen owner-occupied housing unit in a certain city has 4 rooms.

36% probability that a randomly chosen owner-occupied housing unit in a certain city has 5 rooms.

19% probability that a randomly chosen owner-occupied housing unit in a certain city has 6 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 7 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 8 rooms.

3% probability that a randomly chosen owner-occupied housing unit in a certain city has 9 rooms.

?% probability that a randomly chosen owner-occupied housing unit in a certain city has 10 rooms.

(a) Is X a discrete or continuous random variable?

X is the number of rooms in a randomly selected house. The number of rooms is a countable variable, that is, only assumes values like 1,2,3,4,... You cannot have 3.5 rooms, for example.

So X is a discrete random variable.

(b) What must be the probability of choosing a unit with 10 rooms?

The sum of all probabilities must be 100%(1 decimal). So

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 + ? = 1

0.98 + ? = 1

? = 0.02

2% probability of choosing a unit with 10 rooms

(c) What is the probability that a unit chosen at random is not a 10-room unit?

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 = 0.98

98% probability that a unit chosen at random is not a 10-room unit

(d) What is the probability that a unit chosen at random has less than five rooms?

7% probability it has 3 rooms

23% probability it has 4 rooms. So

7+23 = 30% probability that a unit chosen at random has less than five rooms

(e) What is the probability that a unit chosen at random has three rooms?

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms. So

7% probability that a unit chosen at random has less than five rooms

8 0

3 years ago