Answers
Related Questions
Which of the following equations represents a line that is perpendicular to the line that passes through the points below?
(-8, -10) (-6, -2)
Thank you!
Answers
By calculating the slope of the line passing through the given points to be 4, the slope of any line perpendicular to this would have the opposite reciprocal, -1/4. Without a specified point for the line to pass through, (0,0) is used and the equation of the perpendicular line is y = -1/4x.
Explanation:The first step to finding a line perpendicular to another is understanding the concept behind the slope of a line. The slope of a line is determined by comparing the vertical change (rise) to the horizontal change (run) between two points on a line.
For the points (-8, -10) and (-6, -2), the slope would be calculated as follows: (change in y)/(change in x), which in this case would be (-2 - (-10))/(-6 - (-8)). Simplifying that expression gives us a slope of 4.
The opposite reciprocal of 4 is -1/4 (we flipped the fraction and changed the sign). This is the slope of all lines perpendicular to the original line.
Lastly, for the equation of a line, we need a point for the line to pass through, since the question didn't specify a point, we can use (0,0), so the equation of our perpendicular line is y = -1/4x.
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Suppose you had d dollars in your checking account. You spent $10 but have at least $50 left. How much money did you have initially? Write, solve, and graph an inequality that represents this situation.
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<--------------------------------•>-------------------------------->
0 10 20 30 40 50 60 70 80 90 100
Closed circle facing the increasing number on 50
Which of the following number lines represents the solution set of 11 + x ≥ 14?
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1) 11+x >= 14
2)x<=14-11
4)x<=3
Answer:
The line that represents the solution set of [tex]11+x\geq 14[/tex] is the second one.
Step-by-step explanation:
If we want to find the line, we need to solve the inequality.
The inequality is [tex]11+x\geq 14[/tex]
If we solve it in terms of x :
[tex]11+x\geq 14[/tex]
[tex]x\geq 14-11[/tex]
[tex]x\geq 3[/tex]
This means that the solution of the inequality [tex]11+x\geq 14[/tex] are all real numbers greater or equal to 3.
The line that represents [tex]x\geq 3[/tex] is the blue line in the second number line.
It is important to notice that [tex]x>3\neq x\geq 3[/tex] because in the second expression the number 3 is included.
In the second line the number ''3'' is included because there is a blue point in the number 3 instead of the first number line where in the number ''3'' the blue point is empty.
How do you solve for percent increase and percent decrease?
Answers
for increase:
Increase = New Number - Original Number
Then divide the increase by the original number and multiply the answer by 100
For decrease:
Decrease = Original Number - New Number
Then divide the decrease by the original number and multiply the answer by 100
The line parallel to y=9x+4 that passes through (2,7)
Answers
y = mx + b
slope(m) = 9
(2,7)...x = 2 and y = 7
now we sub into the formula and find b, the y int
7 = 9(2) + b
7 = 18 + b
7 - 18 = b
-11 = b
so ur parallel equation is : y = 9x - 11 <==
The equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11
The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line
Given the equation y = 9x + 4, the slope of the line is expressed as:
mx = 9x
m = 9
We will use the same slope since the lines are parallel
Substitute the slope and the given point into the formula;
y - 7 = 9 (x -2)
y - 7 = 9x - 18
y = 9x -18 +7
y = 9x - 11
Hence the equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11
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Plz help! :p
The tables below show the values of y corresponding to different values of x:
Table A
x 3 3 2
y 1 0 0
Table B
x 3 5 5
y −2 2 −2
Which statement is true for the tables?
Both Table A and Table B represent functions.
Both Table A and Table B do not represent functions.
Table A does not represent a function, but Table B represents a function.
Table A represents a function, but Table B does not represent a function.
Answers
Why?
Table to be a function, need to satisfy following conditions (look at the .jpeg image attached with this answer):
1. condition: In first circle, EVERY element has to be connected with SOME of the elements in second circle
2. condition: In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle
-----------------------------------------------------------------------------
Table A satisfies BOTH of these conditions; that is why table A is indeed a function.
Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.
Answer:
Table A represents a function but Table B does not represent a function.
Step-by-step explanation:
On any given day, Juan will break even if he earns as much money as he spends. On day 5, he records the expression 16 + (–16). Does Juan break even? Explain.
Answers
Final answer:
Juan breaks even on day 5 as the expression 16 + (–16) equals zero, indicating that his earnings match his expenses.
Explanation:
You've asked whether Juan breaks even on day 5 when he records the expression 16 + (–16). In mathematics, breaking even means that income equals expenses, resulting in a net change of zero. The expression Juan recorded represents earning 16 units of money and spending 16 units of money. The negative sign in front of the second number indicates money going out, which is his expense.
To determine if he breaks even, we add the amounts together: 16 + (–16) = 0. Since the sum is zero, Juan does not gain or lose any money, which means he does indeed break even on day 5.
Which is the equation of the graphed line written in standard form? y = x x – y = 0 x – y = 0 y = x
Answers
Answer:
The equation of the graphed line written in standard form is:x-y=0
Step-by-step explanation:
we know that for graphing lines the equation of a line must be in standard form.
the standard form of a line is given by [tex]ax+by=c[/tex] where a,b,c are some real numbers.
hence, in the given question for graphing our line we must use the equation [tex]x-y=0[/tex] because on comparing it to the general equation of the line [tex]ax+by=c[/tex] we have here a=1, b=-1 and c=0.
therefore the standard form is: [tex]x-y=0[/tex]
Answer:
C. x – y = 0
Step-by-step explanation:
edg. 2020 quiz
Zeke ran 4 miles in 45 minutes. if he keeps up the same pace, how long will it take him to run 10 miles?
Answers
Final answer:
Zeke's pace is approximately 5.33 miles per hour. To run 10 miles at this pace, it will take him about 113 minutes.
Explanation:
To solve how long it will take Zeke to run 10 miles at the same pace, we need to establish his running speed. We know that Zeke ran 4 miles in 45 minutes, which we can convert to hours for simplicity. Since there are 60 minutes in an hour, this is ⅔ of an hour. So, Zeke's pace is 4 miles per ⅔ hour, or 4 miles per 0.75 hours, which is ≈ 5.33 miles per hour.
Now, we use this pace to determine how long it will take him to run 10 miles. If Zeke runs at a pace of 5.33 miles per hour, then we can calculate the time for 10 miles by dividing the distance by the speed:
Time = Distance ÷ Speed
Time = 10 miles ÷ 5.33 miles/hour
Time ≈ 1.88 hours
Since we want the time in minutes, we multiply by 60 minutes per hour:
1.88 hours × 60 minutes/hour ≈ 112.8 minutes
So, it would take Zeke approximately 113 minutes to run 10 miles at the same pace.
What is the value of the expression when n=3?
–2n(5 + n – 8 – 3n)
Answers
-6(5+3-8-9)
-30-18+48+54
-48+48+54
54 is the answer
Answer:
THE THERD OPTOIN YALL TRUST ME PLEASE
Step-by-step explanation:
Suppose that you are headed toward a plateau 19.3 meters high. if the angle of elevation to the top of the plateau is 29.5 degrees, how far are you from the base of the plateau?
Answers
A sequence consists of 16 consecutive even integers written in increasing order. the sum of the first 8 of these even integers is 424. what is the sum of the last 8 of the even integers?
Answers
To the nearest square unit what is the area of the regular octagon shown below
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Answer: c
Step-by-step explanation: a p e x
The area of the given Octagon is 1,086 units²
What is an Octagon?A polygon of eight angles and eight sides is called an Octagon.
Given is a figure of an Octagon, having radius = 18.1 units and side length = 15 units.
The regular octagon is divided into 8 triangles
Therefore, the area of a regular octagon = the sum of the area of 8 triangles
The area of a triangle = 1/2(base)(height)
Here, base = 15 units and length = 18.1 units
Therefore, the area of a regular octagon = 1/2×15×18.1×8 = 1,086
Hence, The area of the given Octagon is 1,086 units²
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2(2t+4)=34(24−8t). My math teacher is on crack
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4t + 8 = 816 - 272t (Because of distributive property)
276t + 8 = 816 (Because I added the negative 192 to the other side, due to combine like terms)
276t = 808 (Subtracted 8 from 816)
t = 202/69 (After dividing 808 and 276, the answer is remained in fraction form!)
First, distribute into parentheses
4t+8= 816-272t
Now, subtract 4t from both sides
8= 816-276t
Subtract 816 from both sides
-808= -276t
Divide both sides by -276
2.927= t
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
UV = 14 ft and m∠TUV = 45°
TU = 26 ft
m∠STU = 37° and m∠VTU = 37°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
m∠UST = 98° and m ∠TUV = 45°
Answers
UV = 14 ft and m∠TUV = 45°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
Calculate dy/dx if y = Ln (2x3 + 3x).
Answers
Differentiate using the chain rule:
d/du [ln(u)] d/dx[2x^3+3x]
derivative of ln(u) = 1/u
1/u d/dx[2x^3+3x]
1/2x^3+3x d/dx[2x^3+3x]
Differentiate
(6x^2+3) 1/2x^3+3x
Simplify
Dy/dx = 3(2x^2+1) / x(2x^2 +3)
Answer:
[tex]\frac{(6x^2+3)}{(2x^3+3x)}[/tex]
Step-by-step explanation:
[tex]\frac{dy}{dx}[/tex] [tex]ln(x)=[/tex] [tex]\frac{1}{x}[/tex] .
Therefore:
[tex]\frac{dy}{dx}[/tex] [tex]ln(2x^{3}+3x) = \frac{1}{2x^{3}+3x} *6x^2+3[/tex]
[tex]6x^2+3[/tex] is multiplied because of the chain rule.
What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ?
Enter your answer in the box.
Answers
To solve this, we simply have to get the length and the width. Based from the graph, we can see that the length is connected by 2 points (-12, 2) and (6, 2) or (-20, -3) and (-2, -3). The height between the two lengths is 5 which can be counted manually.
We use the distance formula to calculate the length from either pair of points.
length^2 = [(-12 – 6)^2 + (2 – 2)^2]
length = 18
Therefore the area is:
Area = length * height
Area = 18 * 5
Area = 90
What is 1 / (0! - 1!)
Answers
So the answer is 1 / (0! - 1! ) is indeterminate
kelly subscribes to a service called mysongs for downloading music she pays a $7 fee each month to download an unlimited numbers of songs at $0.20 each last month kelly's bill was $23.80
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subtract the fee from the total to get the amount actually spent on songs
23.80-7 = 16.80
divide that amount by price per song to get number of songs downloaded
16.80 /0.20 = 84 songs
what number is 8.2% of 50
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Hope this helps
An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the investment at the end of 9 years?
a.
$11,964.17
b.
$11,867.66
c.
$9,338.56
d.
$8,554.94
Answers
A = p(1 + r/n)^(nt)
We are looking for A.
Let r = 0.05
Let n = 4
Let p = 7650
Let t = 9
A = 7650(1 + 0.05/4)^(4•9)
You can now finish. So, solve for A.
In other words, simplify the right side of the equation to find your answer.
Answer:
$11,964.17
Step-by-step explanation:
Ms. Wilson works at a music store. On Black Friday she sold 6 more than 3 times the number of CDs she sold on Cyber Monday. Ms. Wilson sold a total of 110 CDs on Black Friday and Cyber Monday. How many CDs did she sell on each day?
Answers
show the picture
please
A car Travel 476 miles on 14 gallons of gas. Write an eqation relating the distance d to the nuber of gallons
g. How mmany travel 578 miles
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is the same as 476 / 14 = 34
so 34miles / 1gallon of gas.
34x =578 where x is the number of gallons
578 / 34 = 17gallons
Which equation in point-slope form contains the points (8, 10) and (–4, 2)?
Answers
The equation in point-slope form containing the points (8, 10) and (-4, 2) is y - 10 = (2/3)(x - 8).
Explanation:The point-slope form of a linear equation is given by where (x1, y1) represents the given point and m represents the slope. To find the equation in point-slope form containing the points (8, 10) and (-4, 2), we need to calculate the slope first. The slope m can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Using the given points (8, 10) and (-4, 2), we can substitute the values into the formula to find the slope:
Now that we have the slope, we can use one of the given points to write the equation in point-slope form. Let's use the point (8, 10):
Given the two original statements, can a true conclusion be met? If so, what would it be? If not, why not?
1) If it is June, then it is summer.
2) It is summer.
Conclusion:
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its summer.
You cant deduce its june because b doesnt imply a
therefore no conclusion
From the two original statements above, the answer would be yes, a true conclusion can be met since then It is summer.
What is a possibility?Multiply the total number of possible outcomes by the total number of events. Divide the total number of ways the event can occur by the total number of possible outcomes after determining the probability event and its corresponding consequences.
Given:
1) If it is June, then it is summer.
2) It is summer.
Based on the two original statements, a true conclusion can be made.
Statement 1) says that if it is June, then it is summer. Statement 2) says that it is summer.
Therefore, we can conclude that it is possible that it is June.
However, we cannot conclude for certain that it is June, because there could be other times of the year when it is also summer (depending on the geographic location). For example, in the southern hemisphere, December is summer, not June.
So a possible true conclusion based on these statements is "It is possible that it is June."
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A plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class.
How many seats are there in each class?
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The first thing you want to do is add 13+5 which gives you 18. SO then you see how many times 18 goes into 360. Which gives you 20. So then you multiply 20 by 5 (because there are 5 business seats for every 13 and 18 went into 360 20 times, which gives you 100 business seats. Then you subtract 100 from 360 to see how many economy seats are left which gives you 260 economy seats. So there are 100 business seats and 260 economy seats.
I hope this helped!
I am, yours most sincerely,
SuperHelperThingy
there are 360 TOTAL seats, and the ratio of eco to business is 13:5, so lets suppose there are 13x eco and 5x business.
13x+5x=360
18x=360
x=20
so 13x=260 and 5x=100
there are 260 eco seats and 100 business seats.
What is m∠L?
Enter your answer in the box.
°
Answers
We are given a triangle JKL.
<J =5x°
<K = 2x°
<L = 3x°.
Note: Sum of angles of a triangle is 180°.
Therefore, <J +<K+<L = 180°.
5x +2x+3x = 180°.
10x = 180
Dividing both sides by 10, we get
10x/10=180/10
x = 18.We need to find the m<L.
m<L =3x° = 3(18) = 54°.
Therefore, m<L = 54°.Julia did a survey in four butterfly parks and wrote the following observations:
Butterfly Park Survey
Park Number of Blue Butterflies Total Number of Butterflies
P 21 82
Q 40 86
R 11 63
S 38 58
Based on the survey, which park had the greatest percentage of blue butterflies?
Park P
Park Q
Park R
Park S
Answers
Answer with Step-by-step explanation:
Percentage of blue butterflies in any park
=[tex]\dfrac{number\ of\ blue\ butterflies\ in\ that\ park}{total\ butterflies\ in\ that\ park}\times 100[/tex]
Percentage of blue butterflies in park P
=[tex]\dfrac{21}{82}\times 100[/tex]
=25.61 %
Percentage of blue butterflies in park Q
=[tex]\dfrac{40}{86}\times 100[/tex]
=46.51%
Percentage of blue butterflies in park R
=[tex]\dfrac{11}{63}\times 100[/tex]
=17.46%
Percentage of blue butterflies in park S
=[tex]\dfrac{38}{58}\times 100[/tex]
=65.52%
Hence, park which had the greatest percentage of blue butterflies is:
Park S
Factor? for 6xy−3x−8y+4
Answers
3x (2y - 1 ) - 4 (2y -1)
(2y-1) (3x-4)
A number or algebraic expression that divides another number or expression evenly is factor. (2y-1) and (3x-4) are factors for 6xy−3x−8y+4.
What are factors?a number or algebraic expression that divides another number or expression evenly is called factor.
We need to find factors for 6xy−3x−8y+4.
The given expression is
6xy -3x -8y +4
Take common terms
3x (2y - 1 ) - 4 (2y -1)
(2y-1) (3x-4)
Therefore the factors are (2y-1) (3x-4) for 6xy−3x−8y+4.
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A bowl holds 3/10 cup of oil when it is 2/5 full. Which statement best describes the quotient of 3/10 divided by 2/5?
The maximum amount of oil the bowl can hold is Fraction 3 over 4 cup.
The maximum amount of oil the bowl can hold is Fraction 4 over 3 cups.
The amount of oil that can be still poured in the bowl is Fraction 3 over 4 cup.
The amount of oil that can be still poured in the bowl is Fraction 4 over 3 cups.
Answers
(3/10) / (2/5)
(3/10)/(2/5) = 3/10 * 5/2 = 15/20 = 3/4
The bowl holds 3/4 of a cup
Answer:
3/4 cups
Step-by-step explanation: