The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The equation of the line is:
y = 2x + 4
Or
2x - y + 4 = 0
The point is (0, 0)
As we know, the formula for the shortest distance between the line and a point:
D = |ax + bx + c|/√(a²+b²)
Plug x = 0 and y = 0
a = 2, b = -1, and c = 4
D = |2(0) + -1(0) + 4|/√(2²+(-1)²)
D = 4/√5
D = 1,78 ≈ 1.8 units
Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.
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Jae bought 85 tickets to spend on games and rides at an amusement park. Games cost 3 tickets each, and rides cost 8 tickets each. Jae has already used 39 of the tickets. If he uses all of his remaining tickets for rides, how many more times can Jae go on rides?
Answer:
15
Step-by-step explanation:
Jae can go 15 more times on the rides.
Answer:
Jae can ride 5.75 or 5 more times
Step-by-step explanation:
Total of tickets, Jae buys 85
Jae uses (-) 39 tickets
85 - 39 = 46 remaining tickets
Rides: 8 tickets each
46/8 = 5.75
I hope this helps.
PLs help me 30 points in total
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
What is the value of x
Answer: your answer is 36.3 cause it's half of 72.6.
Step-by-step explanation:
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
6 boxs she will only have 5 dollors left
also what kind of persom buys 6 pizza boxes for 4 friends
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
Someone please help me asap I beg you guys please I’ll mark BRAINLIEST
Answer:
y = 3
x = 2 is your answer may be
Answer:
y=4/3x+5
Step-by-step explanation:
Yes or no awnser pls
Answer:
No the question iant a function
At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from
Based on the information given, the number of students from Florida will be 9000 students.
Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
The number of students from Florida is 9000.
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How much material do you need to make two back pockets?
You run a florist shop that both operates at a physical location and sells over the internet. Which search problem must you consider with mobile devices, but not with laptop and desktop computers?.
The search problems to consider with mobile devices, but not with laptop and desktop computers is
Your website must provide directions to your store's brick and mortar location
In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.
Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.
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Solve for the value of p.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!
Answer:
The angles are supplementary meaning they equal 180 degrees so the angles have to equal 180.
p + 7 + 3p + 1 = 180
4p + 8 = 180
-8 -8(subtracting 8 from both sides)
4p = 172
/4 /4(dividing by 4 on both sides)
p = 43
Answer:
A straight angle measures 180°(p + 7) + (3p + 1) = 180
p + 7 + 3p + 1 = 180
4p + 8 = 180
4p = 180 - 8
4p = 172
•°• p = 172/4 = 43
Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )
The answer is in the image attached. I hope it is helpful.
The least common denominator of two given rational expression are 4x, (x-3) and (x+3).
What is the least common denominator of two rational terms?
The factored denominator of two rational terms are called least common denominator of two rational numbers.
How to find the least common denominator of two rational terms?To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.
According to the given question
We have two rational expressions
[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]
Now let's factorize the denominators
[tex]4x^{2} -12x =4x(x-3)[/tex]
and, [tex]x^{2} -9=(x+3)(x-3)[/tex]
Therefore,
[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]
⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]
⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]
Therefore, the least common denominator of two given rational expression are 4x, (x-3) and (x+3).
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A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses
Answer:
C. 156
Step-by-step explanation:
65/5
13 houses per month
13*12=156
Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.
The residual of a regression is the difference between the actual value and the predicted value
The values of (a) and (b) are -0.4 and 0, respectively.
The entries are given as:
x Given Predicted Residual
1 -0.7 -0.6 -1
2 2.3 1.95 0.35
3 4.1 4.5 a
4 7.2 7.2 b
The residual of a line of best fit is calculated using:
[tex]Residual = Actual - Predicted[/tex]
Using the entry headings, the formula would be:
[tex]Residual = Given - Predicted[/tex]
To calculate the value of (a), we make use of entry (3).
So, we have:
[tex]a = 4.1- 4.5[/tex]
[tex]a = -0.4[/tex]
To calculate the value of (b), we make use of entry (4).
So, we have:
[tex]b = 7.2- 7.2[/tex]
[tex]b = 0[/tex]
Hence, the values of (a) and (b) are -0.4 and 0, respectively.
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what does the expression 3(20+15) represent?
Answer:
It represents 3x20 +3x15
Step-by-step explanation:
The expression 3(20+15) represents 20+15 then multiplying it by three.
If you were to solve the expression, the answer would be 105.
20 + 15 = 35
35 x 3 OR 35(3) OR 35 ∙ 3 = 105
Shania bought a $1455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each.
Answer:
A
Step-by-step explanation:
sum of 5r and 7, divided by 15
Answer: 7r/3
Step-by-step explanation:
5r*7/15 = 35r/15 = 7r/3
PLEASE HELP‼️‼️15 POINTS PLEASE ANWER ASAP‼️‼️‼️ILL MARK BRAINLYEST I MEAN IT ‼️‼️‼️
which theorem would be used to prove the triangles below as congruent?
Answer:
ASA
Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me
Adding this so you can give the other person a brainlyist
a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to show all four steps
Answer:
50,0
Step-by-step explanation:
So we know 500×100=50,000
So it's 50,000
PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!
Answer: The answer is 27.04 square inches.
Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.
Answer:
27.04 in^2
Step-by-step explanation:
hope this helps! :)
help plz
help
help
help
help
help
help
Answer:
A
Step-by-step explanation:
-|x+3| has a x-intercept of -3. A is the only option with -3 as an x-intercept.
-hope it helps
Answer:
answer be A
Step-by-step explanation:
How many solutions to a system does the graph below show?
This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions
Answer: Check explanations
Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.
repost pls ASAP
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).
Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.
Answer:I think it would be the grocery store is at (-4, -8) but I not sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
S/O: sqdancefan
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2
x+(-2) >3
open the bracket
x-2>3
collect the like terms by taking 2 to the other side
x>3+2
x>6
take a factor out of the square root: 4√450
Answer:
60√2
Step-by-step explanation:
Factor the value 450
450 = 9 x 50 = 9 x 5 x 2
4√450 = [tex]4\sqrt{9*25*2[/tex]
= [tex]4*3*5\sqrt2[/tex]
= [tex]60\sqrt2[/tex]
[tex]60\sqrt2[/tex]
-Chetan K
Following are the calculation to the square root:
Given:
[tex]\bold{4 \sqrt{450}}[/tex]
To find:
square root=?
Solution:
Calculating the factor of 450:
[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]
[tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]
Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".
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If you buy a stock originally valued at $2,500 then sell that stock later at $2,550 what is the percent of increase in the stock?
Answer:
2550-2500 = 5025% percent increase.
Step-by-step explanation:
Answer: 2%
Step-by-step explanation:
2500 X 1.02 = 2,550
-School Dist. A Achieve uit
Chemistry Atoms
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Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
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y = -52 +6
| 9= 3z - 2
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Answer:
I don't know (-_-) HAHAHAHA
Step-by-step explanation:
Mrs. Byrne washed
2
7
of her laundry. Her son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Mrs. Byrne washed more
Step-by-step explanation: