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

k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today​

Answers

Answer:

Today, kai ran 1 3/5 kilometers.

Step-by-step explanation:

im sorry if this is incorrect.

Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator.

Answers

Answer:

t is less than or equal to 35

Step-by-step explanation:

PLs HALP will give brainliest

Answers

Your answer for this question will be C

Answer:

C. 1/3x - 9

Step-by-step explanation:

Ok so....

-3 + -6 is just -9 so instead of writing all that we can just write -9.

So what you should have now should look something like this

2/3x - 1/3x - 9             ( I just put it in a different order )

So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this

1/3x - 9

Which is the answer!!

TAADAA!!

Hope this helps. Have a good day!

What is 36divided by 6.

Answers

Answer:

6

Step-by-step explanation:

It is six because 6x6=36

Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.​

Answers

respondo por qué el juego me lo diste 2+24

Answer:

y = -2/3x + 6

Step-by-step explanation:

Equation in slope-intercept form:

y = mx + b

Substitute values:

y = -2/3x + 6

Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?

Answers

Answer:

4 1/2 flowers

Step-by-step explanation:

2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.

What percent of the shaded checker board squares do not have pieces?


VERY URGENT PLEASE

Answers

The 25% of the shaded checker board has pieces on it.

What percent of the shaded checker board squares do not have pieces?

To check that, we need to solve the expression below:

Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)

There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:

Percent = 100%*(8/32) = 25%

That is the percent of the shaded checker that has pieces.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.​

Answers

Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

What is the probability that the red die shows a six or the green die shows a six?

Answers

Answer:

[tex]\frac{11}{36}[/tex]

Step-by-step explanation:

= 1/6 + 1/6 - 1/6^2

Will mark Brainlyist help me fill out the chart

Answers

Answer:

The working is done in the image attached.

find the highest common factor using prime factorization for 27y and 54y³

Answers

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

Which expression is undefined?

Answers

Answer:

C. 4/0

Step-by-step explanation:

You can't divide 4 by 0.

A. you would have gotten -0.5

B. you would have gotten 0

D. you would have gotten 0

Hope this help!! :)

Answer:

C. [tex]\frac{4}{0}[/tex]

Step-by-step explanation:

you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.

if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.

i hope this helps! have a great day <3

19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)

Answers

Answer:

A total of  8 (eight) completely filled cups.

Step-by-step explanation:

Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.

Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:

Volume = 19 x 6 x 30 = 3420 cm^3

The amount of water in it fills 2/3 of its volume, then:

amount of water = 2/3 (3420) = 2280 cm^3

Now to find how many cups can be filled with such amount of water, we do the division:

2280 / 275 = 8.29

Then the maximum number of completely filled cups is: 8

Which expression is equivalent to -32^3/5?

Answers

Answer:

the first one

Step-by-step explanation:

what is the Multiplicative of -12​

Answers

multiplicative would be ;

-12 ------> 1/-12

Mark the best answer.
1. The grid map shows the location of
some places on a college campus.
What are the coordinates of the
dormitory? (8-1)
Library
Gymnasium
12 Student
Center
5 4 3 2
Dormitory
I.XI
10
2013
Academic
Hall
A (2.1)
B 12)
CK1-2)
D (2.1)

Answers

Answer:

it makes sense

Step-by-step explanation:

Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,

-1.79, 2 1/4, 2.54,-4


Answers

2.54, 2 1/4, -1.79, -4

Find the solutions of each equation on the interval [0, 2π)

Answers

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.

(a) Write an equation to determine the amount of substance, S, left after t years.

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

Answers

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

How many points are needed to determine a straight line?
A. only one point
B. at least two points
C. at least three points
D. more than three points

Answers

Answer:

b

Step-by-step explanation:I hope this helps

Do you still need help with this question

2 f(x)=x2 + 2x cómo se evalúa?

a) f(3)
b) f(-1)
c) f(x-3)​

Answers

Answer:

b) f (-1) ese es el resultado

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

What is the percent of increase from 25 to 26?

Answers

Answer:

4 percent

Step-by-step explanation:

because the new value is greater than the old value

The Answer is  4 percent

Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8

Answers

si holaaa and orange brown green brown orange brown brown orange orange

10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4

Answers

Answer:

A, x=5

Step-by-step explanation:

By simplifying the inequality we get:

The only answer that is greater than 4 is A.

Answer:

yes

Step-by-step explanation:

what is estimate the product of 19.8 and 5 by grounding each factor to nearest whole number ​

Answers

Given:

The two numbers are 19.8 and 5.

To find:

The estimated product of given numbers by rounding each factor to nearest whole number.

Solution:

Two number are 19.8 and 5.

On rounding the given numbers to the nearest whole number, we get 20 and 5.

Now, the estimated product is

[tex]20\times 5=100[/tex]

Therefore, the estimated product of given numbers is 100.

Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?

Answers

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।​

Answers

Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.

Answers

72 nuts mix the trail 4 ➕ 8

Answer:

Step-by-step explanation:

HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6

Answers

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

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