A walking path across a park is represented by the equation y=-3x - 3.A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3,6). Identify the equation that represents the new path.
Answers
Answer:
y -6 = 1/3(x +3) or y = 1/3x +7
Step-by-step explanation:
The slope of the line describing the given path is the x-coefficient, -3. The slope of the perpendicular line will be the negative reciprocal of that:
m = -1/(-3) = 1/3
The point-slope form of the equation for a line can be used to write the equation for the new path:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For m=1/3 and (h, k) = (-3, 6), the new path can be represented by ...
y -6 = 1/3(x +3) . . . . point-slope form
y = (1/3)x +7 . . . . . . slope-intercept form
Related Questions
Help me please with kim!
Answers
Answer: Kim - Resp after 24 months = $4,416.00
Kim - Technology Fund after 24 months = $1,120.06
Kim's Technology Fund has enough money to buy a laptop.
Kim's Savings (Resp) will last less than 6 months
Step-by-step explanation for Kim:
January - June 2019
$14.50 + 30($0.25) = $22.00/hr
$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income
Resp (15%): $7920(0.15) = $1188CPP(5%): $7920(0.05) = $396EI(2%): $7920(0.02) = $158.40Taxable Income is $7920 - $1188 = $6732 (Annual Income $13,464)
Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($6732-$4500)(0.08) = $178.56→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income
Tech Fund (5%): $5999.04(0.05) = $299.95
Food Expense (30%): $5999.04(0.3) = $1,799.71
Clothing Expense (30%): $5999.04(0.3) = $1,799.71
Entertainment Expense (25%): $5999.04(0.25) = $1,499.76
Miscellaneous Expense (10%): $5999.04(0.1) = $599.90
Other Expenses: $5,699.08
July - December 2019 (excluding August)
$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income
Resp (15%): $6800(0.15) = $1020CPP(5%): $6800(0.05) = $340EI(2%): $6800(0.02) = $136Taxable Income is $6800 - $1020 = $5780 (Annual Income $12,512)
Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($5780-$4500)(0.08) = $102.40→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income
Tech Fund (5%): $5201.60(0.05) = $260.08
Food Expense (30%): $5201.60(0.3) = $1,560.48
Clothing Expense (30%): $5201.60(0.3) = $1,560.48
Entertainment Expense (25%): $5201.60(0.25) = $1,300.40
Miscellaneous Expense (10%): $5201.60(0.1) = $520.16
Other Expenses: $4,941.52
January - June 2020
same as January - June 2019
July - December 2020 (excluding August)
same as July - December 2019
[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]
£1 = 1.18 euros How many pounds will lisa have to exchange to get 300.90 euros. (please answer!)
Answers
Answer:
255 pounds.
Step-by-step explanation:
We can set up a proportion.
1 pound / 1.18 euros = x pounds / 300.9 euros
1.18 * x = 1 * 300.9
1.18x = 300.9
x = 255
255 pounds.
Hope this helps!
Answer:
300.90 € = £ 255
Step-by-step explanation:
£ 1 = 1.18 €
So,
1 € = £ 1/1.18
=> 1 € = £ 0.847
Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros
=> 300.90 € = £ 0.847 * 300.90
=> 300.90 € = £ 255
Suppose that you and a friend are playing cards and decide to make a bet. If you draw two red cards in succession from a standard deck of 52 cards without replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Answers
Answer:
E=$19.307
Step-by-step explanation:
Total number of cards = 52
If you win then you will get $50
If you lose then you will give him $20
Therefore the probability
[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]
[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]
[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]
Thus the probability for all the three cards are face card
[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]
P=0.0099
Thus the probability for all the three cards are not face card
P=1-0.0099=0.9901
P=0.9901
Therefore , expected value
[tex]E=20\times 0.9901-50\times 0.0099[/tex]
E=$19.307
Therefore the answer will be $19.307.
Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?
Answers
Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km
solve systems by substitution method x + y = 12 3x - y = 20
Answers
Step-by-step explanation:
x+y=12
3×+y=20
×=12-y
3 (12-y)+y=20
36-3y+y=20
36-4y=20
-4y=20-36
-4y= -16
y =16÷4
y=4
×+y=12
×+4=12
×=12-4
×=8
therefoer;y=4,x=8
Simplify: 42x^7-(-11x^7)
Answers
Answer: 53x^7
Step-by-step explanation:
Subtracting a negative is like adding.
Since two negatives equal a positive 42 +11 = 53, so just add the exponent back which would be 53x^7.
What is the approximate perimeter of the figure?
Answers
Answer:
7.1 inches
Step-by-step explanation:
perimeter you go round from apointof your choice so
add 2+2=4
then apply 1/4πd for the round part
d=4 and it's quarter a circle then add them together
Answer:
7.1 inches
Step-by-step explanation:
To find the perimeter of the circle you would need to follow the formula: 2piR. Since r=2, 2*2=4. So 4 multiplied by pi (3.14 or 22/7). Since this is a quarter of a circle you would divide the answer 12.56 by four which equals 3.14. Now just add the extra two 2s left on the flat sides of the figure which ends up with your answer of 7.14 OR 7.1.
Hope this helps!! <3
f(x) = x2. What is g(x)?
Answers
Answer:
A
Step-by-step explanation:
consider the form g(x) = aX^2, where a is negative, means the curve is flip upside down.
-3, shifted down for 3 units.
(#1) Two thirds of Sandi's rose bushes bloomed this summer. One half of the roses that bloomed were pink. What part of Sandi's total rose bushes had pink blooms? If Sandi had 12 rose bushes, how many bore pink blooms? (#2) Mom has three quarters of a pound of chocolates. She divides the chocolates into portions that each weigh one eighth of a pound. If Mom eats one portion a day, for how many days will the chocolate last?
Answers
Answer:
The number of pink roses bloomed are 4.
Step-by-step explanation:
In a newspaper, it was reported that yearly robberies in Springfield were down 10% to 90 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answers
Answer:
100.
Step-by-step explanation:
Let the number of robberies be x ( in 2013).
Then x - 0.10x = 90
0.90x = 90
x = 90 / 0.90
= 100.
Every day, Jason runs for 34 minutes and lifts weights for 49 minutes. How many minutes will Jason spend working out in 8 days?
Answers
Answer:
664 minutes
Step-by-step explanation:
34 + 49 = 83
83 minutes a day
83 x 8 = 664
Answer:223
Step-by-step explanation:
I need help with this please answer
Answers
Answer:
B. [tex]1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]
[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]
[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7
8/7=[tex]1\frac{1}{7}[/tex]
Hope this helped!!!
which is the equation of a line that passes through the point (3,2) and is parallel to the line in the graph?
Answers
Answer:
A. 3x - 2y = 5
Step-by-step explanation:
Given line in the graph has the following properties:
using point (2,3)
m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2
New line passes through y0(3,2), so use the point-slope form
(y-y0) = m (x-x0)
substitute in value y0(3,2)
y - 2 = (3/2) (x - 3)
multiply by 2 on each side
2y - 4 = 3x - 9
simplify and rearrange
3x - 2y = -4 + 9 =5
3x - 2y = 5
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
Option C
Step-by-step explanation:
=> [tex]729x^6+y^6[/tex]
=> [tex](9x^2)^3+(y^2)^3[/tex]
Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]
=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]
=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]
So, these are the two factors of the expression!
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
One fifth of the square of a number
Answers
Answer:
The statement, one fifth of the square of a number is written as
[tex] \frac{1}{5} {x}^{2} [/tex]
Hope this helps you
Over summer, a dam’s water volume reduces from 20 megalitres to 4 megalitres. What fraction of the water in the dam has been lost?
Answers
Hey there! I’m happy to help!
Let’s first subtract 4 from 20 to see how much was lost.
20-4=16
Now, we see that 16 is a certain percent of twenty that we want to find. When talking about percents, the word “is” represents an equal sign. So, we can write this equation. We will have p represent our prevent.
16=20p (16 is a certain percent of 20)
Now, we solve by dividing both sides of the equation by 20 to isolate the p.
p=0.8
0.8 is 80% or 4/5, so 4/5 of the dam water has been lost.
Have a wonderful day! :D
The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is ________. (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
Answers
Answer:
a
Step-by-step explanation:
Cylinders:
Ratio of radii = 1 : 4
Radius of two cylinders are: r , 4r
Ratio of height = 3 :1
Height of two cylinders are: 3h , h
Lateral surface area of cylinder = 2πrh
Ratio of lateral surface area= 2π* r * 3h : 2π* 4r * h
= 3 : 4
AABC Is dilated by a scale factor of 3 with the origin as the center of dilation to form AA' BC. The slope of AB is -1.2. The length of AB is
p units, the length of AC is qunits, and the length of BC is runits.
The slope of A' B' is The length of A'C' is
units.
Answers
Answer:
The slope of new figure A'B'C' = -1.2
A'B' = 3p units
A'C' = 3q units
Step-by-step explanation:
The value of each of the corresponding length of dilated figures (new image) = scale factor multiplied by the corresponding length in original figure.
scale factor = 3
Length of AB = p units
the length of AC = qunits
the length of BC = runits
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
slope of new figure = slope of previous figure
The slope remains the same = -1.2
The slope of the new figure is mathematically given as
dS=1.2
What is the slope of the new figure?Question Parameter(s):
The slope of AB is -1.2.
The length of AB is punits
The length of AC is qunits
The length of BC is runits.
Generally, the lengths of the new region are mathematically given as
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
In conclusion, with the new region consistent in its increase across all regions the slope will remain
dS=1.2
Read more about Arithmetic
https://brainly.com/question/22568180
For the example shown, Jesse said “The total monthly cost of using the ceiling light and the dishwasher was $0.74.” Is Jesse correct? Explain.
Answers
Answer:
what do u mean
Answer: FLOOR GANG OOOH
Step-by-step explanation:
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answers
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
Three students used factoring to solve a quadratic equation? The equation was solve correctly by ______.The solutions of the equation are__________.
Answers
Answer:Keith
x=5,x=12
Step-by-step explanation:
Answer:
the answers are keith and -5,-12
Step-by-step explanation:
I just took the test and got a 5/5 the other person is incorrect.
A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just before each tablet is taken, 20% of the drug remains in the body. (a) How much of the drug is in the body just after the sec- ond tablet is taken
Answers
Answer:
120 mg
Step-by-step explanation:
20% of 100 is 20 so that would be 20mg plus the 100mg they just took
100+20=120mg
i hope this helps you!
URGENT!!! PLEASE help me with this question!
Answers
Answer:
[tex]\huge\boxed{x = 8,\ but\ x = 3\ is\ extraneous}[/tex]
Step-by-step explanation:
[tex]\sqrt{x+1}+5=x\\\\\text{Domain:}\ x+1\geq0\to x\geq-1\\\\\sqrt{x+1}+5=x\qquad\text{subtract 5 from both sides}\\\sqrt{x+1}=x-5\qquad\text{square both sides}\\(\sqrt{x+1})^2=(x-5)^2\qquad\text{use}\ (\sqrt{x})^2=x\ \text{and}\ (a-b)^2=a^2-2ab+b^2\\x+1=x^2-2(x)(5)+5^2\\x+1=x^2-10x+25\qquad\text{subtract}\ x\ \text{and}\ 1\ \text{from both sides}\\0=x^2-11x+24[/tex]
[tex]ab=24;\ a+b=-11\\a=-8;\ b=-3\\\\x^2-11x+24=0\\x^2-8x-3x+24=0\qquad\text{distribute}\\x(x-8)-3(x-8)=0\qquad\text{distribute}\\(x-8)(x-3)=0\\\\\text{The product is 0 if one of the factors is 0. Therefore}\\(x-8)(x-3)=0\iff x-8=0\ \vee\ x-3=0\\x-8=0\qquad\text{add 8 to both sides}\\\boxed{x=8}\in D\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\in D[/tex]
[tex]\text{For}\ x=8:\\\sqrt{8+1}+5=8\\\sqrt{9}+5=8\\3+5=8\\8=8\qquad\bold{CORRECT}\\\text{For}\ x=3:\\\sqrt{3+1}+5=3\\\sqrt4+5=3\\2+5=3\\7=3\qquad\bold{FALSE}[/tex]
HELP
Kevin has $25 in his checking
account. If Kevin has $2.20
less than 4 times the amount
that Molly has in her
account, what is the
amount of money in
Molly's account?
Answers
Answer:
$6.8
Step-by-step explanation:
Let x be the amount of money in Molly's amount
according to question,
4x-25=2.20
4x=2.20+25
4x=27.20
x=27.20/4
x=6.8
So,the amount of money in Molly's amont is $6.8
Answer: $6.80
Step-by-step explanation:
We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.
25 = 4m -2.20 solve for m.
+2.20 +2.20
27.20 = 4m
m= 6.8
4(6.8) = 27.20 - 25 = 2.20
Ms. delilio borrowed 1,200 from a bank for 3 months at 12% annual interest. How much interest did she pay?
Answers
Answer: $36
Step-by-step explanation:
When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:
Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)
Principal (P) is the borrowed amount.
Interest Rate (r) is the percent of the principal to be paid.
Time (t) is the length of time that money is borrowed.
If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:
First, we have to convert 3 months into years
3 months = 3/12 =0.25 years
Then, find the interest by using the formula
Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)
In this example
P = $1200
I = 12%
t = 0.25 years
Then:
I = 1200 × 0.12 × 0.25
I = 36
Answer: $36
Step-by-step explanation:
3/12x1200x0.12=36
SIMPLE INTEREST FORMULA
TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR
DIVIDE BY 100 FOR INTEREST SHOWN
AND MULTIPLY TO SOLVE
Identify the x-intercepts of the function graphed below.
Answers
Answer:
-2 and 3 along the horizontal line
Step-by-step explanation:
There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis
which of the following shows 210 angles in standard position
Answers
That is showoff 210 angel in standard position
The 210 angles in the standard position are shown in figure (A) option (A) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that:
The measure of the angle:
= 210 degrees
The reference angle can be defined as the angle formed between the terminal side and the x-axis, known as the reference angle.
The angle between the x-axis and the y-axis is 90 degrees.
The angle between the y-axis and the negative x-axis is 90 degrees.
The angle between the negative x-axis and the arrow shown in the coordinate plane is 30 degrees.
Thus, the 210 angles in the standard position shown in figure (A) option (A) is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[tex]Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[/tex]
Answers
Answer:
Step-by-step explanation:
common denominator
[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]
Add with common denominator
[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]
[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]
[tex]=2* (\sqrt2)[/tex]
how to convert 0.16 to fraction
Answers
4/25
Step-by-step explanation:
16/100, 8/50, 4/25
An insurance firm reported that "the typical water-skiing accident occurs near the dock from which they start." Which of the following statistical measurements are they most likely discussing? A. median B. mode C. mean D. range
Answers
Answer: D. range
Step-by-step explanation:
To measure the center of the tendency we use Mean , median or mode depends on the type of data.
But when we discuss about the distance between the initial point and the final point in a data , we use 'range' as term for this.
Range= distance between initial and final point.
here, range = distance between the starting point and the point where water-skiing accident occurs.
Hence, the correct option is D. range