A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
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Answers

Answer 1

Answer:

The slope of the perpendicular line to the line is

m   = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the line y =f(x) = 2x +6

                           ⇒  y = 2x +6

 comparing             y =mx +c

The slope of the given line   m =2

Step(ii):-

The slope of the perpendicular line   = [tex]\frac{-1}{m}[/tex]

The slope of the perpendicular line   = [tex]\frac{-1}{2}[/tex]


Related Questions

On a scale drawing of a boat, 15 feet are represented by 10 inches. If the drawing was 8 inches long, how long was the boat?

Answers

Answer:

12 feet

Step-by-step explanation:

On a scale drawing of a boat, 15 feet are represented by 10 inches.

This means [tex]15\,\,feet=10\,\,inches[/tex]

[tex]1\,\,inch=\frac{15}{10}\,\,feet=\frac{3}{2}\,\,feet[/tex]

Now, find the length of the boat if the drawing was 8 inches long.

Length of the boat = [tex]8(\frac{3}{2})=12\,\,feets[/tex]

So, length of the boat is 12 feets if the drawing was 8 inches long.

NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn? ​

Answers

Answer:

Mr. Kelly's class old more and 11.455 more then the other class

Step-by-step explanation:

i used a calutor

Some one already answered this, heres the link to the answer:

brainly.com/question/19662350?referrer=searchResults&exp=25-1

Which one of the following examples represent a repeating decimal?

Answers

Answer:

C. 0.777777

Step-by-step explanation:

A grocery store manager ordered 243 cases of Cheez its. Each case contains 15 boxes and each box is made up 8 packs of Cheezb its. How many packs of Cheez its did the grocery store manager order?

Answers

Answer:

29160

Step-by-step explanation:

243*15*8

In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Give your answer as a decimal to 4 places.

Answers

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that [tex]p = 0.6[/tex]

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].

We have that

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]

0.9744 probability that AT LEAST ONE of them has been vaccinated

what is 8 equitation 2+3(36 divided by 6) -2

Answers

Answer:

18

Step-by-step explanation:

2+3(36/6)-2 = 2+3(6)-2 = 2+18-2 = 18

Answer:

18

I don't know what that 8 is about but if you want to solve the equation here is the answer

Step-by-step explanation:

2+3(36/6)-2

2+3(6)-2

2+18-2

18

Answer: 18

Solve the equation 2x + 4 - 9 Explain the steps
and properties you used.

Answers

Answer:

2x - 5

Step-by-step explanation:

2x + 4 - 9

the 2x gonna stay

so you take 4 - 9 = -5

so the answers gonna be 2x - 5

bc the 5 is negative so you gonna subtract

I hope you understand my english...

18. The stock bar chart below shows price and volume information for Medco Health
Solutions (MHS) on January 12. What was the opening price?

Answers

Answer:b $41.60

Step-by-step explanation:

if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)

Answers

Answer:

2x² + 3x/2 - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2 - 3 + 2x² + x - 6

= 2x² + x/2 + x -3 -6

= 2x² + 3x/2 - 9

22×(4.5×4.5×4.5+9)=

what is the answer? ​

Answers

2202.75 is the answer

Answer:

2202.75

Step-by-step explanation:

calculator

BRAILIEST for correct answer!! Pls help
What's the slope of a line that passes through (−12,15) and (0,4)?

Answers

Answer:

-11/12

Step-by-step explanation:

slope for points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

(x,y)

(-12,15)

(0,4)

x1=-12

y1=15

x2=0

y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12

Answer:

Slope: -11/12x

Step-by-step explanation:

Slope-intercept equation:

y = mx + b

(m = slope)

The formula for slope is below.

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

With your two points, you can accurately determine your slope.

(-12, 15) (0,4)

x1 = -12

y1 = 15

x2 = 0

y2 = 4

Apply this information in the slope formula to get:

[tex]\frac{4 - 15}{0 - -12}[/tex]

Change the 0 - -12 to 0 + 12

[tex]\frac{4 - 15}{0 + 12}[/tex]

4 - 15 = -11

0 + 12 = 12

Place -11 and 12 into a fraction.

[tex]\frac{-11}{12}[/tex] OR -11/12

Add "x" to the end from "mx" within the slope-intercept equation

-11/12x

0.51 x 40 = (0.5 + 0.01) x 40 =

Answers

Answer:

hello! :) have a good day!

20.4

please HELP ITS A GRADE AND TIMED I WILL MARK BRAINLIEST

Answers

Answer:

Domain: All Real Numbers

Range: y<0

Step-by-step explanation:

Looking at the graph, you can tell that the variable y has a lower point.

( I'm not sure how accurate this is I'm doing the same test right now. ;-;)  

Rewrite the expression by factoring out (w-2).
5w(w – 2) + 2(w-2)

Answers

5w(w-2)+2(w-2)
=5w+2

Faucet filled 2gallon pot in 5/6 minute how many gallons in minute

Answers

Answer:

12/5 gallons/minute, or 2 2/5 gallons/minute

Step-by-step explanation:

Find the unit rate with time as the independent variable:

2 gallons

---------------- = 12 gallons / 5 minutes = 12/5 gallons/minute

5/6 minute

Answer:

.41666 or 5/12 Gallons per minute

Step-by-step explanation:

5/6 divided by 2

Poru
1. It is a relationship that compares two or more quantities
A. quantity
B ratio
C. fraction
D. colon​

Answers

The answer is B


Because it has 2 or more quantities for different units for a measure. Hope this helps have a nice day :)

Find the surface area of the square pyramid shown below.
3
4
units

Pls help ASAP if you can

Answers

Answer:

Step-by-step explanation:

area of a triangular face = 0.5×4×3 = 6 square units

lateral area = area of 4 triangular faces = 4×6 = 24 square units

base area = 4² = 16 square units

total surface area = lateral area + base area = 24+16 = 40 square units

Answer:

40

Step-by-step explanation:

40

What is the product of (2x-4)^2​

Answers

Answer:

( 4x^2 -16x +16)

Step-by-step explanation:

The rule is the

the first term squared + (the first term * second term  * 2) + second term^2

In angle LMN, m= 2.1 inches, n = 8.2 inches and ∠L = 85 find the length of l to the nearest 10th of an inch

Answers

Answer:8.3

Step-by-step explanation:trust

Please help this is due today!

Use the diagram to complete the statements using correct notation. If there is not enough information to prove congruency, explain why:

Example cannot be determined

If it’s a congruent, the congruence reason has to be SAS SSS ASA OR SAA

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

Can not be determined.

Step-by-step explanation:

From the figure attached,

In ΔHFS and ΔIFS,

Side HS ≅ Side HI [Given]

∠HFS ≅ ∠IFS [Given]

Side FS ≅ Side FS [Reflexive property]

But there is no property of SSA (Side-side-angles for the congruence of two triangles)

Therefore, answer is "can not be determined".

HELP ME ANSWER THIS PLEASE!!!!!
Complete the proof that m

Answers

huh?????????? there’s no picture

A bank pays 3.4% annual interest,
compounded monthly. If $1550 is invested
for 11 years, what will be the ending value
of the account?

Answers

Answer:

$2,251.79.

total compound should be is $701.79.

Step-by-step explanation:

Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.

and if it is not about the question four the answer I will report and no branlest

Answers

Answer:

[tex]\frac{9}{14}[/tex] = 0.642857143

Step-by-step explanation:

[tex]\frac{1}{7}+\frac{1}{2}[/tex]

Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.

[tex]\frac{2}{14} + \frac{7}{14}[/tex]

Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{2+7}{14}[/tex]

Add 2 and 7 to get 9.

[tex]\frac{9}{14}[/tex]

cat este ¾-⅝?? caci eu nu stiu ​

Answers

Answer:

1/8 hope this help :)

Answer:

1/8 or 0.125

Step-by-step explanation: Key || · equals multiplication

3/4  -  5/8  =  3 · 2/4 · 2  -  5/8  =  6/8  -  5/8  =  6 - 5/8 = 1/8

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

for 7 its r and u and r and s. and for 8 its all.

Step-by-step explanation:

in a bean bag toss game players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole. roopesh wants to know his total score after throwing 4 bean bags.

which expressions show the points roopesh earns if two beanbags land on the board? choose all that apply

2+5
2•2
2•5
2+2​

Answers

Step-by-step explanation:

bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that,

In a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.

Since, Roopesh dropped the bag on land for two times, and points for bag landing is 2.

Therefore, We get;

His score will be,

⇒ 2 × 2

or 2 + 2

Therefore, We get;

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

Learn more references on expression visit:

brainly.com/question/14083225

#SPJ7

Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game

Answers

16 correct answers

(-80 divided by -5)

What is 7a - 9> 2 (4a + 1)

Answers

Answer:

a<-11

Step-by-step explanation:

If the probability of having rain tomorrow is 60%, what is the probability of not having rain tomorrow?

Answers




Answer:



40%


Explanation 100-60=40

12 x satisfies the inequality: 2x -8 < 12

Create an inequality to represent all the possible values of x.




Answers

Answer:  x<10

Step-by-step explanation:

2x-8<12

2x-8+8<12+8

2x<20

[tex]\frac{2x}{2}[/tex]<[tex]\frac{20}{2}[/tex]

x<10

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