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3 years ago

What is the equation of the line that is perpendicular to the

Mathematics

1 answer:

Bas_tet [7]3 years ago

7 0

Answer:

y=3x-5

Step-by-step explanation:

If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.

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Factor –8x3 – 2x2 – 12x – 3 by grouping. what is the resulting expression? (2x2 – 3)(4x 1) (–2x2 – 3)(–4x 1) (2x2 – 3)(–4x 1) (–

myrzilka [38]

The factors of the expression are $\rm (4x+1)(-2x^2-3)$

<h3>How to find factors in the expression?</h3>

First group the first two terms and the last two terms together respectively.

The factors of the expression are given by;

$\rm -8x^3 -2x^2 - 12x - 3\\\\-2x^2(4x+1)-3(4x+1)\\\\(4x+1)(-2x^2-3)$

Hence, the factors of the expression are $\rm (4x+1)(-2x^2-3)$ .

To know more about factors click the link given below.

brainly.com/question/9645056

5 0

2 years ago

Read 2 more answers

What is the perimeter of this rectangle?

kotegsom [21]

~Hello There!~

Finding the perimeter simply means adding all the sides together.

31 + 81 + 31 + 81 = 224 cm

Yes, you are correct.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

8 0

3 years ago

Read 2 more answers

here is an inequality 2x + 5 > 50 explain the steps you would use to solve the equation for x what would the graph look like

Hatshy [7]

Answer:

$x>22.5$

Step-by-step explanation:

Given linear inequality:

$2x+5>50$

Solving for $x$

Subtracting both sides by 5.

$2x+5-5>50-5$

$2x>45$

Dividing both sides by 2.

$\frac{2x}{2}>\frac{45}{2}$

∴ $x>22.5$

The graph of the inequality is shown below.

The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.

3 0

3 years ago

Plz help asap please and thank you

Gre4nikov [31]

Pet show has stations for each animal. There are 5 rabbits, 7 cats, 8 dogs, and 4 hamsters.

1. How many cats need to be added to make the probability 1/2.

For the probability to be 1/2, we need there to be 1 cat for every 2 animals. There are 5+8+4 = 17 other animals besides cats so we need to increase the amount of cats to 17 so that it is 1/2 of the total. We already have 7 so we need 17-7 = 10 more cats.

2. Assume we added the cats. What's the probability of picking a dog?

Since we added the cats, the total number of animals is now 17+17 = 34

There are 8 dogs, so the probability of picking a dog will be 8/34 which will reduce to 8/34 = 4/17 (you will pick 4 dogs every 17 attempts).

3. No more animals added. What is the probability of picking a rabbit or hamster?

Total rabbits and hamsters is 5+4 = 9 so there is a 9/34 chance of picking a rabbit or hamster. (you will pick a rabbit or hamster 9/34 attempts).

4. What is the probability of NOT picking a goldfish?

Be careful here... the question is what is the probability that you won't pick a goldfish? Well there are no goldfish, so there is a 34/34 (100%) chance that you won't pick a goldfish. You will NOT pick a goldfish 34 out of 34 times.

7 0

3 years ago

FUNCTION, DOMAIN, AND RANGE HELP NEEDED (25 POINTS)

Darina [25.2K]

Answer:

thanks for points lol

Step-by-step explanation:

thanks for

3 0

3 years ago