Answer:
16 units
Step-by-step explanation:
The distance of the point P ( -2 , 6 ) to the line y = x - 8 is given by the equation D = 8√2 units = 11.3 units
What is the distance from the point to a line?The shortest distance between any two points on an infinite straight line is called the distance from a point to a line. The length of the line segment connecting the point to the closest point on the line is the perpendicular distance between the point and the line.
Let the equation of line be = Ax + By + C = 0
Let the point be P ( x₀ , y₀ )
Distance of a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )
Given data ,
Let the distance be represented as D
Now , let the point be P = P ( -2 , 6 )
Let the equation of line be A
The value of A is
y = x - 8
Subtracting y on both sides of the equation , we get
x - y - 8 = 0 be equation (1)
Now , Distance from a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )
Substituting the values in the equation , we get
Distance from a point to line D = | 1 ( -2 ) + ( -1 ) ( 6 ) - 8 | / √ ( 1² + 1² )
On simplifying the equation , we get
Distance from a point to line D = | -2 - 6 - 8 | / √2
Distance from a point to line D = | -16 | / √2
Distance from a point to line D = 16/√2
Multiply the numerator and denominator of the fraction by √2 , we get
Distance from a point to line D = 16√2 / 2
Distance from a point to line D = 8√2 units
Hence , the distance is 8√2 units = 11.3 units
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The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
Calculate the percentage reduction,
Show your working
Given:
The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
To find:
The percentage reduction.
Solution:
We know that,
[tex]\text{Percentage reduction}=\dfrac{\text{Original value - Reduced value}}{\text{Original value}}\times 100[/tex]
[tex]\text{Percentage reduction}=\dfrac{45-32.50}{45}\times 100[/tex]
[tex]\text{Percentage reduction}=\dfrac{12.50}{45}\times 100[/tex]
On further simplification, we get
[tex]\text{Percentage reduction}=\dfrac{1250}{45}[/tex]
[tex]\text{Percentage reduction}=27.777778[/tex]
[tex]\text{Percentage reduction}\approx 27.78[/tex]
Therefore, the percentage reduction is 27.78%.
If the weight of 7 sheets of paper is 35 grams, find how many sheets of paper it will take to weigh 1.5 kg
Answer:
300 sheets
Step-by-step explanation:
if you divide 35 by 7, you get 5
then divide 1,500 by 5 to get 300.
It takes Alicia 1/2 hour to wash, comb her hair and put on her clothes, and 1/4 hour to have her breakfast. How much time does it take Alicia to be ready for school?
Answer:
3/4 hour
Step-by-step explanation:
Answer:
1 hour + 8 =575
Step-by-step explanation:
add tow answer 768
Can you help me with this problem I am struggling in?
Answer:
c,a,b
Step-by-step explanation:
...................
(30 points!)
In triangle XYZ, which angle has the least measure?
Answer:
it's XYZ because the longest side has the shortest angle measurement it's a tip
Answer:
XYZ
Step-by-step explanation:
becuase the long side has a smaller angle
If you need any help with fractions I'm here to help. This is for 4th grade and less.
Just comment :)
Ok, thanks for your support, You're amazing!!!!! :)
Answer: wow ur rlly nice to offer ur service to ppl.
Step-by-step explanation:
pls help me thx u bruh
Answer:
4
Step-by-step explanation:
Rearrange the equation so that its y=5x+4. Now you know the y-intercept is 4.
Hope this helps :D
Write the rule for the pattern 100,81,64,49,36
Answer:
100,81,64 and 49 are squares of 10,9,8 and 7. So, the missing number is 36 square 6. So the next number will be 6 and the square is 36
Step-by-step explanation:
You're Welcome in advance UwU
Also can i have brainlest?
How many gummi bears are in 4 servings
What fraction represent 0.12
Answer:
12/100
Step-by-step explanation:
convert 7 months into days
Answer:
It's about 212 days is 7 months
Step-by-step explanation:
Is my answer correct or incorrect? True or false
The statement would be true, you are correct!
Hope this helps! If it did, don't forget to rate my answer a five star, hit the thanks [heart] button, and mark as brainliest! If you need any more help, feel free to ask! Have a great rest of your day and stay safe! xx
Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods. Option 1: She will poll each student who leaves the gym after sports practice. Option 2: She will randomly poll three students from each first-period class. Which statement about the methods is true? Option 1 is biased. Option 2 is biased. Neither is biased. Both are biased.
Answer:
Option 1 <3
Step-by-step explanation:
Option 1: Not everyone might be in a sports class and not everyone might be leaving at the exact same time.
Option 2: This way of collecting information is not biased because it is random and includes a wide variation of people.
Using sampling concepts, it is found that the correct option is given by:
Option 1 is biased.
What is sampling?Sampling is when a group is taken from a population to estimate a parameter or a characteristic. It has to take into account the entire population to avoid bias, which generate false results.
In this question, all students have to be considering, not just the ones who like sports practice, hence Option 1 is biased.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Frances read 4/5 of an article in three minutes. How much of the article did she read each minute?
OPTIONS
4/15
1/2
5/12
3/8
Answer:
0.267
Step-by-step explanation:
0.2666666666666667
Enjoli is making cupcakes for a party. She needs 45 cupcakes but the recipe makes 15.
Strawberry Cupcake Recipe
Batches
Strawberries
1
1 and one-half cups
2
3
4
On a coordinate plane, a graph titled Strawberry Cupcake Recipe has Batches on the x-axis and cups of strawberries on the y-axis. Point A is at (1, 1.5), point B is (2, 3), point C is (3, 4.5), point D is (4, 6).
If she does not want any leftovers, which point should Enjoli use to determine the amount of strawberries she will need to make her cupcakes?
A
B
C
D
Answer:
The answer would be C
Step-by-step explanation:The answer would be C
Answer: The Answer Is C
Calculate 2(1+4)2x (9-6)/3
The Martin family’s truck gets an average of 20 miles per gallon.Predict his many miles they can drive using 5 gallons of gas
Answer:
it will be 100 mpg
Step-by-step explanation:
because 20 times 2 gallons is 40 and 20 time 3 is 60 then 20 times 4 is 80 then 20 time 5 is 100 if you just remember your times tables for two you will get your answer all your doing is just add a 0 to two for 20
Which statement best describes what happens to water immediately after it evaporates? A. Water falls to Earth as rain, snow, or sleet.
B. Water vapor condenses into clouds.
C. Water lands on Earth as surface water runoff.
D. Water vapor rises until it meets cool air.
This is a timed assignment so be quick and help please.
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
wrong its d I just did it
Who do you like Charli or Addison? If you can’t answer, Comment.
Me personal, I hate both. But if I had to choose one it would be none of them. Both of them are overrated and they have too much hype. Just my opinion.
34. What is the domain? What is the range? Is the relation a function?
36. Which of the statements below best describe the slope of a line?
A) The slope of a line is the steepness of the line.
B) The slope of a line is a rate of change.
C) The slope of a line is the ratio of the vertical rise to the horizontal run.
D) All of the above statements are true.
Attached is a picture for question 34
Answer:
Step-by-step explanation:
34).
Domain: {7, 3, - 7, - 3}
Range: {2}
Yes, the relation is function.
36). Choice (D)
write the equation of a line that goes through points (-2, 53) and (10, -103)
Answer:
The answer is y=-13x+27
Step-by-step explanation:
hope this helps
y²-y¹/x²-x¹
(-103)-53/10-(-2)
=-156/12
=-13
y=mx+b
-103=-13(10)+b
-103=-130+b
+130 +130
27=b
A rectangle has a length of x and a width of 3x3 + 9 − x2. Find the perimeter of the rectangle when the length is 6 feet. Please HELP :(
Answer:
24
Step-by-step explanation:
A rectangle as four sides, and as we know, two of the sides equal each other. I would first start by drawing a rectangle. On one length on the outside of the triangle, put x. On the opposite congruent length, put x again since we know the sides are the same. You should have two blank sides left. On both of those sides, put 3x3 + 9 - x2 (I am assuming that you meant x squared whenever you said x2. Let me know if I assumed incorrectly. Because the length is 6, we know that x must be six. Now substitute everything that says x with the number six. Use parenthesis so you don't confuse it with other numbers. (6.) Now add everything up. You should be adding 3x3 + 9 - (6)2+ 3x3 + 9 - (3)2 + 6 + 6. Your final answer should be 24.
Then again, because this question could of meant 2x rather than x^2, this could be completely wrong, so if you take a picture of the exact question I will be able to help you better. Also, I'm not sure if your 3x3 is an x or an multiplication sign.
Del Ray can run
20.2 miles in
24hours. How many miles per hour car
he run?
Answer:
0.84 miles per hour
Which graph shows a function where f(2) = 4??? PLEASE HELP MEEE
Answer:
A 2,100-square-foot home in Cheyenne, WY , costs $110 per square foot. How much does this home cost? (Do not enter anything but numbers for the answer or it will count it wrong. Follow directions please because I am not coming back to grade if you mess up)
Step-by-step explanation:
Can someone help me please
A rectangular field is enclosed by 600 feet of fencing what is the length and feet of the field if it's length is 10 ft more than it's width
Answer:
155 feet
Step-by-step explanation:
600 - 20= 580.
subtract 20 for the two sides of the field that are 10 feet longer than the other two sides
divided 580 by 4 to to get the length of each side of the feild (145 feet) then add 10 feel to get the length 155 feet
The length of the Rectangular field is 155 feet.
What is rectangular?A rectangle is "2D shape that has 4 sides, 4 corners and 4 right angles".
According to the question,
A rectangular field is enclosed by 600 feet of fencing. The length and feet of the field is 10ft more than field's width. so, subtract 20 feet from 600 feet.
600 - 20 = 580 feet
By definition of the rectangular, it has '4 sides' to get length of each sides of rectangular field divide 580 by 4 then we get each sides of rectangle.
[tex]\frac{580}{4}[/tex] = 125 feet.
Now, we have length of each side of the field is 145 feet. But in given question 'length of the rectangular field is 10 feet more than it's width'. So, add 10 feet to the rectangular field.
145 + 10 = 155 feet.
Hence, The length of the Rectangular field is 155 feet.
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1. insert a digit to make numbers that are divisible by 6 if it is possible
531_5
2. insert a digit to make numbers that are divisible by 6 if it is possible
237_8
Answer:
1 There is no number that make it divisible by 6 with no decimals
2 1,4,7
Step-by-step explanation:
2 23718/6= 3953
23748/6= 3958
23778/6= 3963
How could you change the equation from 5x+2=5x+5 so it has infinitely many solutions?
I'm working on the same thing right now and I'm using every resource in my hands right now to find a solution. I will edit this post when I have more. If you need any more help I have completed the previous activity and most of this one.
EDIT:
Ok so I checked with somebody who is pretty good with math and they said that 5x=5x would be right. Not too sure but that's what I'm putting.
I put EVERYTHING for this assignment in comments down below. Geez all of this for 5 freakin points.
3. what is the cuberoot of negative 1728
Answer:
The cuberoot of negative 1728 is negative 12. I hope this helps :-)
Please help it’s due
Answer:
d
Step-by-step explanation:
complimentary is 90 degrees
