What is the slope of a line that is parallel
and perpendicular to each line?

Problem 1 (on the left)

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

-------------------------------

Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

=========================================================

Problem 2 (on the right)

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

-------------------------------

Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

Answer:

-6x-8

m^2y-3m

Step-by-step explanation:

For the first one we simply need to multiply both figures in the bracket by the outer number.

For the second one we do the same thing but as there is an "m" in the bracket and an "m" outside the bracket, this makes a square "^2" which is essentially a figure multiplied by itself.

Answer:

s= $5.25

Step-by-step explanation:

7-1.75=5.25

7=5.25+1.75

s=$5.25

Answer:

y+7=-3/4(x-16)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=-3/4(x-16)

y+7=-3/4(x-16)

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

32 m

4 sec

Step-by-step explanation:

just trust me i did the math

Answer:

i agree with the other person

Step-by-step explanation:

Answer:T=1

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

Answer:

A cosine function would be a simpler model for the situation.

The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.

A sine model would require a phase shift, while a cosine model does not.

edge 2022

hope it helps :)

A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.

B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.

C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.

D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.

So A. is the correct answer.

Answer:

A. (2,4), (2,7)

Hope you could get an idea from here.

Doubt clarification - use comment section

Answer:

Table A.

Step-by-step explanation:

Table A is the only table with a constant hourly change, therefore your answer is Table A.

Brainliest would be apprappreciated. :-)

The new price of the scooter will be:

= $50 - (20% × $50)

= $50 - $10

= $40

The sale price of the football will be:

= 35% × $60

= $21

Answer:

-2x+y=12

Step-by-step explanation:

linear equation

Answer:

The choice two

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {5}^{2} = {c}^{2} \\ 25 + 25 = {c}^{2} \\ 50 = {c}^{2} \\ c = 5 \sqrt{2} [/tex]

Answer: 22m + 20

First average the 2 package weights:

(12m+12) + (14m + 12) / 2  

(26m + 24) / 2

13m  + 12

So the average weight of 2 package is 13m + 12

Now you already know the average of 6 packages that is 9m + 8. So add the 2 package and 6 package average weights.

13m + 12 + 9m + 8

22m + 20

I am not sure unless you or someone else thinks it correct. But thats it, pls forgive me if i am wrong... :(

Answer:

x int (-3), y it. (5)

Step-by-step explanation:

x+3=0, just subtract 3 and x = 3

Number to the right of parenthesis is always y int. for this sort of problem

Answer:

This assume the equation is 35y = mx + c, and that r is meant to be x.

Step-by-step explanation:

35y = mx + c

35y = -2(-7) - 3

35y = 14 - 3

35y = 11

y = (11/35)

Please check the formatting of your question.

Answer:

58= 2x +12

each pass is 23 dollars

Step-by-step explanation:

let x represent the cost of the passes

58= 2x + 12

solve for x

58-12 = 2x +12 -12

46 = 2x

46/2 =2x/2

23 = x

Answer: Score on a science test, D, Average temperature

Step-by-step explanation:

A: Score on a science test(dependent variables are the "effects" of the independent variable, and number of hour studied results in the score on the science test)

B: D (the input will always remain the same but the output is dependent on the independent variable, so in this case the input is the independent variable)

C:Average temperature( the temperature depends on how far it is from the equator, thus making it the dependent variable in this relationship)

Hope it helps!

:)

Answer:

[tex]\huge\boxed{\sf Right.}[/tex]

Step-by-step explanation:

[tex](-a+b)^2[/tex]

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

54u - 9v + 45

Step-by-step explanation:

distributive property

Here is my solution. I hope it is helpful.

Answer:

I can only see =++= so please repost your answer so i can edit my answer as well

Step-by-step explanation:

Answer:

the given set of solutions {−7,4} is y=x2+3x−28 y = x 2 + 3 x - 28 .

Hope you could get an idea from here.

Doubt clarification - use comment section

Difference between relation and function?

So

Check option A

2 is repeated in domain

Hence table A is a relation.

Table B is a function

Answer:

-13h - 12

Step-by-step explanation:

3(-6h - 4) + 5h

-18h - 12 + 5h

-13h - 12

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

Find out more at: https://brainly.com/question/12669551

Answer: y is 2

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for y ~

Value of y is 2