Mathematics College

A line has this equation: x + y = 6
Write an equation for the perpendicular line that goes through (5, 1).

A Line Has This Equation: X + Y = 6Write An Equation For The Perpendicular Line That Goes Through (5,

Answers

Answer 1

Answer:

the equation of the line will be: [tex]y=x-4[/tex]

Step-by-step explanation:

Equation of line: x + y = 6

We need to write an equation for the perpendicular line that goes through

(5, 1).

The equation will be in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

Equation of line given is: x+y=6

Writing it in slope-intercept form: [tex]y=-x+6[/tex]

The slope of this line is m = -1 (By comparing it with [tex]y=mx+b[/tex] we get m = -1)

Since the required line is perpendicular, their slopes will be opposite inverse of each other i.e. [tex]m_1=-\frac{1}{m_1}[/tex]

So, slope of required line will be: m=1

Now, using the point (5,1) and slope m=1 we can find y-intercept

[tex]y=mx+b\\1=1(5)+b\\1=5+b\\b=1-5\\b=-4[/tex]

So, we get y-intercept b = -4

Now, the equation of required line, having slope m=1 and y-intercept b = -4

[tex]y=mx+b\\y=1x-4[/tex]

So, the equation of the line will be: [tex]y=x-4[/tex]

Related Questions

Which of the following is the graph of y= -√ x + 1?

Answers

Answer:

check

Step-by-step explanation:

y intercept = (0,1)

x intercept = (1,0)

Answer:

Answer below hopes it helps

Step-by-step explanation:

What is an equation of the line that passes through the points (0, -5)(0,−5) and (-6, 0)(−6,0)? Put your answer in fully reduced form

Answers

Answer:

y = -5/6x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The equations of a line is y = mx + c

m = rise/run = 5/-6
c = -5

y = 5/-6x - 5

Which of the following can be used to construct a triangle?
(10 Points)
A) 10cm 13cm 24cm
B) 14cm 32m 28cm
C) 25cm 13cm 22cm
D) 5cm 8cm 20cm

Answers

the answer would be C

I need help whoever helps gets extra points

Answers

Step-by-step explanation:

the length 27

the width 25

let x equal the width
let x + 2 equal length

x + 2 + x + 2 + x + x = 52
4x + 4 = 52
4x = 48
x = 12

width = 12
length = 14

In which quadrant does the point (6,5) lie

Answers

Answer:

quadrant 1

Step-by-step explanation:

only answer if you know:( plz help quick

Answers

Answer:

11,23 mi

Step-by-step explanation:

fttxhfxhfxhfxhtdhthrhdhfdhtdththdtu

11,23 miles...........

Bob Ross spent $161.85 to purchase to different paint sets consisting of 15 tubes. It was a combination of oil and liquid medium. The oil tube cost $7.49 and the liquid medium $12.90. How many of each type did he purchase?

Answers

Answer:

A.

Step-by-step explanation:

N/A

PLEASE ANSWER ASAP!!! Which graph is a histogram?

Answers

Spring sports, a historigram is specifically numerically based.
The answer is B
Sorry if it’s wrong

Which of the following is the equation of the inequality shown below

Answers

Answer:

2

Step-by-step explanation:

the line is solid

solid lines are for symbols like this "≤"

Answer is 2 by the way

Someone please help and thank you

Answers

Answer:

8:3

Step-by-step explanation:

The GCF of each of them is 8. Divide both of them by it you'll get the ratio

in equivalence the answer is 8 3

Rectangle ABCD has a perimeter of 54 inches and a length that is twice the width. Which equation represents the perimeter of rectangle ABCD?

Answers

Answer:

54=2w

Step-by-step explanation:

I completed this problem

If Rectangle ABCD has a perimeter of 54 inches and a length that is twice the width. Then 6W =54 equation represents the perimeter of rectangle ABCD

What is Rectangle?

A rectangle is a quadrilateral with four right angles.

Given,

Rectangle ABCD has a perimeter of 54 inches

Perimeter=54 inches

Length is twice the width

L=2W

L represents length and W represents width.

W=W

Perimeter of rectangle =2(Length+Width)

54=2(2W+W)

54=2(3W)

54=6W

Hence 54=6W is the equation represents the perimeter of rectangle ABCD

To learn more on Rectangle click:

https://brainly.com/question/15019502

#SPJ6

86° 34° Х X = ____ degrees help quick pls​

Answers

Answer:

60 degrees

Step-by-step explanation:

The angles all have to add up to 180, so you can do

[tex]34 + 86 +x = 180\\120 + x = 180\\x = 60[/tex]

Answer:

60° is your answer

I hope it's helps you

saying that 4 < x < 9 is equivalent to saying what about x

Answers

Answer:

X is less than 9, but greater than 4.

Step-by-step explanation:

!!!!!!(VERY URGENT)!!!!!!! Find the area of the composite shape given in the figure.

Answers

Answer:

43.7 square units

Step-by-step explanation:

you can create 3 rectangles by extending the line through point A until it meets the top line, do same with extending line through point B

the area of the rectangle on left is 6.5 x 4, which is 26

the area of the center rectangle is 1.8 x 3.5, which is 6.3

the area of the rectangle on right is 3.8 x 3, which is 11.4

45% of what number is 9?
Your answer

Answers

The answer is 5
45/9=5

Answer:

20

Step-by-step explanation:

9 x 100 / 45 = 20

Look at these two triangles.

55
55°
25°

What additional information is sufficient to prove
ADWZ - AJUT

Answers

If  [tex]U\hat{T}J = 100[/tex], all angles would be equal, resulting in similar triangles. So B is right

Pls help asap adn dont guess :DD

Answers

Answer:

[tex]{ \huge \star} \boxed{ \sqrt{3} \times 7 \sqrt{6}}{ \huge \star} \\ = \sqrt{3} \times 7 \times \sqrt{2 \times 3} \\ = 3 \times 7 \times \sqrt{2} \\ = \boxed{ 21 \sqrt{2}} [/tex]

21√2 is the right answer.
Question:-

What is the product of √3 and 7√6 in simplest radical form?

Answer:-

[tex] \small \pink{21 \sqrt{2} }[/tex]

Explanation:-

→ √3 × 7√6

→ √3 × 7 × √2×3

→ 3 × 7 × √2

→ [tex] \small \tt \red{21 \sqrt{2} }[/tex]

How much of each ingredient is needed for 3 batches of
bread?

Answers

Answer:

3x times as much as it toke with one loaf of bread so 80

Step-by-step explanation:

if a translation of T-3,-8 is applied to square ABCD, what are the coordinates of B'?​

Answers

Answer:

B'(-2, -6)

Step-by-step explanation:

Point B has coordinates: (1, 2)Translation rule is T(-3, -8)

Applying the rule to point B:

B(1, 2) → B'(1 - 3, 2 - 8) = B'(-2, -6)


The point guard for the Memphis Tigers scores an average of 16 points per game. Next
season, he wants to increase that average by 20%. What will the point guard's average points
per game be next year?

Answers

Answer:

19.2 points a game

Step-by-step explanation:

20% of 16 is 3.2. Knowing this it becomes a simple addition problem.

what number 3 times equals 49

Answers

16.3333333 3 times is equal 49

Answer:

16.3333 (and so on)

Step-by-step explanation:

This is easy to figure out by using the inverse operation of multiplication, which is division. We divide 49/3, which equals 16.3 (with the 3 repeating), so that is the answer!

Hope this helps and have a nice day (～*▽*)～

27. The average hourly wage of workers at a fast food restaurant is $7.25/hr
with a standard deviation of $0.50. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?*

Answers

Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that [tex]\mu = 7.25, \sigma = 0.5[/tex]

If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8 - 7.25}{0.5}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the worker earns more than $8.00

I GIVVVEE BRAINLISTE\

Answers

Answer:

3 on the edge

Step-by-step explanation:

Karen and Bill collect coins. Karen has x coins. Bill has 2 coins fewer than five times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.

Answers

Answer: 5x-2

Step-by-step explanation:

Step-by-step explanation:

the karen has 5x then .i hope this is answer

Solve for p.
p+20≥25
Write the solution as an inequality (for example, p>9).

Answers

the answer is p>5 but also with the equal symbol

A book costs $45. Sales tax on the book is 7% which expression represents the final cost of the book in dollars

A: 45+0.07
B: 45•0.07
C: 45•0.93
D: 45• 1.07

Answers

The answer is D.

You have to find the sales tax (.07) and the cost of the book (1.00)

Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?

Answers

Answer:

65  cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total.  I first would subtract 10 cups from 120 =110.  then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

Find x

Will give brainlist

Answers

Answer:

Lol find the x, its the x axis so its x as in horizontal. Now find the area and go from there, take the 2 times plus 3 and the 7 times plus 5 and find the x. Its simple.

Answer:

x=9.94

Step-by-step explanation:

8x+2+2x+3+7x+5=180

17x+11=180

17x=180-11

17x=169

x=9.94

8y=-7x+56 find the rate of change for this linear function

Answers

Answer:

7/8

Step-by-step explanation:

rate of change = slope

8y = 7x+56

divide both sides by 8: y = 7/8x+7

rate of change = 7/8

Which of the following is not true about cluster sampling?

A.) Cluster sampling has the advantage of reducing sampling variability.
B.) Cluster sampling has the advantage of saving time and money.
C.) Cluster sampling uses clusters, which are miniature, nonoverlapping versions of the population.
D.) Cluster sampling uses randomly selected clusters and samples everyone within each cluster.

Answers

Answer:

The correct answer is D. It is not true that cluster sampling uses randomly selected clusters and samples everyone within each cluster.

Step-by-step explanation:

Cluster sampling is a method of collecting samples and statistical data, by means of which a certain group formed by people, things, events, etc., is taken as a sample, which are not considered individually but as part of a whole, which is in turn a proportional representation of the universality of samples available in the field.

Now, since this type of sampling allows to embrace large groups of sample units, data are not always obtained from all the components of the cluster, but from those necessary to be able to quantify the desired statistics.

Answer:

d

Step-by-step explanation:

just took it

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