Mathematics High School

WILL GIVE 5 STARS
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

Answers

Answer 1

Answer:

Step-by-step explanation:

to know:

-to be paralel the lines have to have the same slope

-to be perpendicular the slope has to be negative invers of thhe other

-to be neither has to be none of the above two

equation to compare to is

y=mx+b where m is the slope

if your equation does not have this form make it have this form

2y=3x+1 so divide by 2

y=[tex]\frac{3}{2}[/tex] x+1 so here the slope is [tex]\frac{3}{2}[/tex]

4x+6y=14 so subtract 4x and then divide by 6 to isolate y

6y= -4x+14

y=[tex]\frac{-4}{6}[/tex] x + [tex]\frac{14}{6}[/tex] symplify

y=[tex]\frac{-2}{3}[/tex] x + [tex]\frac{7}{3}[/tex] so the slope here is [tex]\frac{-2}{3}[/tex]

So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular

and so on...

Related Questions

A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?

Answers

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches

Answers

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

Can someone help me ASAP!?please

Answers

X = 80

Y = 80

Then I can’t see the last one

CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT

Answers

The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)

Pls help this is already past due

Answers

Answer:

Step-by-step explanation:

-5400/-450

12 minutes

Answer:

12 minutes

Step-by-step explanation:

If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.

-5,400 meters ÷ -450 meters/minute = 12 minutes

It will take 12 minutes for the plane to reach an altitude of -5,400 meters.

Let's check:

-450 meters x 12 minutes = -5,400 meters

Order these from least to greatest

Answers

Answer:

-1 1/2,-1,-1/2,0,1/2,1

Step-by-step explanation:

negatives always go to the least, even if they have a bigger number

2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property

Answers

Answer:

B zero product property

Answer:

The Zero property

Step-by-step explanation:

anything multiplied by zero will give you a product of zero

Find the missing term in the
geometric sequence.

Answers

Answer:

110.5

Step-by-step explanation:

208=13+(3-1)d

208=13+2d

-13. -13

195=2d

÷2. ÷2

97.5=d. (d means difference)

13(first term)+97.5=110.5(the answer

Answer:

Step-by-step explanation:

Faye bought 3 bookmarks at the book store if each bookmark cost $1.40 and she paid with a twenty dollar bill how much change should she get back

Answers

Answer:

$15.80

Step-by-step explanation:

First you multiply $1.40 times 3 to get $4.20 then you subtract the $4.20 from $20 to get $15.80

For a soccer game, Mr Morant prepared 32 hot dogs. He sold 1/2 of the hot dogs to the fans. He sold 1/4 of the hot dogs to the coaches. How many hot dogs were left?

Answers

Answer:

it is nothing

Step-by-step explanation:

1-1=2

A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?

Answers

the answer is 3

could I get brainlisted?

V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).

Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46

When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals

Answers

Answer:

The number of visitors increases at the same rate over both intervals

Step-by-step explanation:

The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.

To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.

Hint #22 / 3

We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Let's calculate the average rate of change of VVV over those intervals:

ARC_{[18,20]}ARC

[18,20]

A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC

[20,27]

A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript

\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad

20−18

V(20)−V(18)

18−10

\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}

27−20

V(27)−V(20)

46−18

Hint #33 / 3

The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Therefore, the number of visitors increases at the same rate over both intervals.

Using the average rate of change, it is found that the correct option is:

(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.

The rate of change of a function is given by the change in the output divided by the change in the input.

When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:

[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]

When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:

[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]

First case has higher rate of change, thus, option A is correct.

A similar problem is given at https://brainly.com/question/20732437

Which property is illustrated? x + y = y + x

Answers

Answer:

commutative property

Step-by-step explanation:

it is

PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

-4

Step-by-step explanation: it is intercepting the -4 so i think -4 is the right answer

Answer:-4

Step-by-step explanation:

it bc the line crosses on -4

What is the y-intercept of the graph of the linear function?

Answers

The y-intercept is -6

expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6

Answers

Step-by-step explanation:

[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]

[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]

[tex]49 + 14 \sqrt{6} + 6[/tex]

[tex]55 + 14 \sqrt{6} [/tex]

The expanded and simplified answer is 55 + 14√6.

How to find the simplified form of an expression?

The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.

The given expression is expanded and simplified:

Given: (7 + √6)^(2)

First, we have to square the expression and expand it.

(a + b)^2 = a^2 +2ab b^2

Similarly we can open the brackets of the given expression:

(7 + √6)^(2) = 49 + 2*7*√6 + 6

= 55 + 14√6

This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.

Therefore, we have expanded and simplified the given expression as 55 + 14√6.

Learn more about the simplified form here: https://brainly.com/question/1698314

#SPJ2

The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.

Help

Answers

Answer: 96°

180-84 = 96

I hope this is good enough:

HELP ASAP FOR BRAINLIEST!!

Tell whether the expression in the pair is equivalent.

37.) 3(5 + z) and 15 + z

Answers

Answer:

Not equivalent

Step-by-step explanation:

The three would also be distributed to z making the correct equivalent expression 15+3z

8n+16.2=1.6 what is the variable n

Answers

Answer:

n= -1.825

Step-by-step explanation:

Determine the constant rate of change for each table.
1. Age (yr) Height (in.)

Answers

9514 1404 393

Answer:

2 3/4

Step-by-step explanation:

The rate of change in each case can be found by dividing right-column differences by left-column differences.

Table 1

(56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change

Table 2

(3 -0)/(4 -0) = 3/4 . . . the constant rate of change

_____

Additional comment

Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.

Table 1: 2 in/yr

Table 2: 3/4 °C/h

.(02.03 MC) Solve for x: |4x + 12| = 16 (5 points) ??.?.?.?.?

Answers

Answer:

x = 1 , − 7

Step-by-step explanation:

Find all solutions for x by breaking the absolute value into the positive and negative components.

la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion

Answers

Answer:

where's the table. on és la taula?

Step-by-step explanation:

The 4th term as a G.P is 384 and
3rd term is 96 find the first term.

Answers

Answer:

first term is 6

Step-by-step explanation:

MULTIPLY BY 4

1) 6 (1st term)

2) 6x4 = 24 (24 is the second)

3) 24 x 4 = 96 (96 is the 3rd)

4) 96 x 4 = 384 (384 the 4th)

Which of the following results in the expression 0.86 x 22?

Answers

Answer: 18.92

Step-by-step explanation: Multiply

22 by 0.86

Answer:

18.92

Step-by-step explanation:

Multiply 0.86 times 22

A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?

Answers

Answer:

yes

Step-by-step explanation:

Answer: 1 2/3 yards for each bow

Step-by-step explanation:

8 1/3 divided by 5 = 25/3 * 1/5 = 5/3

what is the solution for x in the equation?

Answers

Answer:

x = 5/2 is the answer to the question

The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.

Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?

Answers

Answer:

1 pound of avocado costs $1.8

Step-by-step explanation:

Allow me to rewrite your question for a better understanding and hope it ill fit the original one:

The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

Here is my answer:

Given that:

5 pounds avocados = $9

They want to find out:

cost of 1 pound of avocado

So we use division to solve this problem:

$9:5 pounds = $1.8/pound or:

1 pound of avocado costs $1.8

Hope it will find you well

Thank you.

can i get brainliest by any chance i need 2 more

S= CB-7, for C.
What is the Answer to this?

Answers

Answer:

C = (S + 7) / B

Step-by-step explanation:

S = CB - 7

S + 7 = CB

C = (S + 7) / B

Hope this helps!

2. Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?

Answers

Answer: 6/203_____________________________________Divide the first expression by the second expression.6/203__________________________________________________

Hope this helps!

Also can I please have Brainliest...?

Only if I'm right of course...

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is the first one but don't quote me on that

Step-by-step explanation:

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WILL GIVE 5 STARS Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

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WILL GIVE 5 STARS
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.