Answers
Answer:
[tex]y=-5x+22[/tex]
Step-by-step explanation:
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line that is perpendicular to [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\begin{aligned}\implies m \cdot \dfrac{1}{5} & =-1\\m & =-5\end{aligned}[/tex]
Using the point-slope form of a linear equation, with the given point (4, 2) and the calculated slope of -5:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\implies y-2 & = -5(x-4)\\y-2 & = -5x+20\\y & = -5x+22\end{aligned}[/tex]
Therefore, the equation of a line that passes through the point (4, 2) and is perpendicular to the line [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\Large \boxed{y=-5x+22}[/tex]
Related Questions
What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?
Answers
Slope intercept form is:
y = mx + b (where m = slope and b = y-intercept)
the equation of the 1st line
y = 3x + 4 so it’s slope (m) = 3
the problem tells us the y-intercept of the second line is -6.
so we plug the two knowns into slope intercept form to get the equation of the second line:
y = 3x - 6
I hope this helps and is the BRAINLIEST!
Great luck with your studies :)
Answer:
y = 3x - 6
Step-by-step explanation:
The line here is parallel
Slope remains the sameY-intercept is now -6Equation of line
y = mx + c [where m = slope and c = y-intercept]y = 3x - 6Are my answer correct? If not explain why.
Answers
Answer:
Step-by-step explanation:
a)
First I will calculate the equation of the line that goes trough the points
C (0, 0) and (-4, 3).
y= mx + b
y = [(3-0)/ (-4 -0) ] x + 0
y = (-3/4)x →the slope of tis line is (-3/4)
The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.
Slope of line l is 4/3
b)
The equation of l is
y= (4/3)x + b
for point (x= -4, y = 3) that belongs to the line l, we have
3 = (4/3) (-4) + b
3 = (-16/3) + b
3 + (16/3) = b
(9+16)/3 = b
25/3 = b
The equation of the line l in slope intercept form is :
y = (4/3)x + (25/3)
c)
The radius of circle C is the distance between C (0, 0) and (-4, 3).
d² = (x2-x1)² +(y2-y2)²
d = √(-4-0)² +(3-0)²
d = √16+ 9
d = 5 → the radius of the circle C is 5
d)
Line l intersects the y-axis at (25/3) as we previously found out.
The radius is 5.
...therefore the distance between the line l's y-intercept and the circumference of the circle is
(25/3 ) - 5 = (25 - 5·3)/3 = 10/3
The table below represents the metric volume measure of a liter with each amount represented as a power of 10. a 2-column table with 5 rows. column 1 is labeled unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. column 2 is labeled power of 10 with entries 10 superscript negative 2, 10 superscript 0, 10 squared, 10 cubed, 10 superscript 6. the work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000 the of the original exponent is the exponent in the power of quotient. the kiloliter is 103 times greater than a . the hectoliter is times greater than centiliter.
Answers
A megaliter is 10,000 times larger than a hectoliter.
The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.
What is an equation?An equation is an expression that shows the relationship between two or more variables.
1 mega liter = 10^6 Liter
1 hectoliter = 10^2 Liter.
Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter
The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.
Uncle Reynald's age is given by the expression 3(12 + 5) - 4.
To learn more about the equation visit:
https://brainly.com/question/2972832
Answer:
the first one is diffrence
2nd one is liter
3rd one 10,000
Step-by-step explanation:
1. Which indicates the dilation of a figure in the coordinate plane?
A. (x,y) —> (kx,ky)
B. (x,y) —> (-y,x)
C. (x,y) —> (-x,-y)
D. (x,y) —> (x+h,y+v)
Answers
Answer:
A. [tex](x,y)[/tex] ⇒ [tex](kx, ky)[/tex]
Step-by-step explanation:
Because that's the dilation equation or formula
solve for x - 10 = x-7/3
Answers
Answer:
no solution
Step-by-step explanation:
x - 10 = x - 7/3
cancel the terms on both sides
-10 = -7/3
statement is false
no solution
please help me
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly one head?
Enter your answer as a reduced fraction, like this: 3/14
Answers
Answer:
3/8
Step-by-step explanation:
HHT,THH, and TTH are the 3 outcomes with 1 head out of 8 total outcomes
50 POINTS PLS HELP
The graph shows the quadratic function f(x).
What is the average rate of change for the quadratic function from x = 10 to x = 12?
I will give brainliest, and I need help fast.
Answers
Answer:
3
Step-by-step explanation:
find value at 12 =12
find value at 10 = 6
so it changes + 6 for a change from 10 to 12
6/2 = 3
Paloma eats 2 /8 of an apple in the morning and 3/ 8 more in the afternoon. How much of the apple did she eat in total?
Answers
Answer:
5/8
Step-by-step explanation:
2/8 + 3/8 is 5/8
Answer:
5/8
Step-by-step explanation:
With like denominators we can operate on just the numerators:
[tex]\frac{2+3}{9}[/tex]
=[tex]\frac{5}{8}[/tex]
What is the area of the figure below?
3 5/6in 6in
Answers
Answer:
120
Step-by-step explanation:
2 ( x - 8 ) + 2 ( 12 ) how do i solve it?
Answers
Hope this helps!!
Melissa weighed 14 packages. Their mean weight was 3 pounds. What was the total weight of the 14 packages?
pounds
Answers
The total weight of the 14 packages that Melissa weighed is gotten as; Total weight = 42 pounds
How to calculate mean?We are given;
Mean weight = 3
Now,formula for mean is;
Mean = total/sample size
We are given;
Sample size = 14
Thus;
3 = total/14
Total = 3 * 14
Total weight = 42 pounds
Read more about Mean average at; https://brainly.com/question/20118982
#SPJ1
Collect like terms
3
x
2
+
x
+
2
x
2
Answers
Answer:
x+10
Step-by-step explanation:
A triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters.
What is the surface area of the triangular prism shown?
32 square centimeters
120 square centimeters
184 square centimeters
1,560 square centimeters
\
Answers
Answer:
d
Step-by-step explanation:
Are the following functions exponential growth or decay?
Graphing Exponentials
a) f(x)=10(2)x
is this exponential growth? or exponential decay?
b) f(x)=2(0.5)x
is this a exponential growth? or exponential decay?
Answers
Answer:
a) growth b) decay
Step-by-step explanation:
In the function f (x) = b^x when b > 1, the function represents exponential growth.
In the function f (x) = b^x when 0 < b < 1, the function represents exponential decay.
a)b=2 > 1 this function growth
b)b=0.5 < 1 this function decay
Ms. Rivera created two dot plots to compare the results of her recent science quiz for 1st period students compared to 7th period students. The dot plots are displayed to the right. Use this information to answer the questions below.
Answers
The dot plots is an illustration of charts and graphs
The average score of period 7 is greater than the average score of period 1
How to determine the period with the higher average?From the dot plots in the complete question, we have the following frequency tables
Period 1 Period 7
Score Students Score Students
55 1 65 1
70 1 75 3
75 6 80 5
80 6 85 6
85 2 90 3
90 3 95 2
95 1
The average is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
For period 1, we have:
[tex]\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}[/tex]
Evaluate the sum
[tex]\bar x_1 = \frac{1590}{20}[/tex]
Evaluate the quotient
[tex]\bar x_1 = 79.5[/tex]
For period 7, we have:
[tex]\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}[/tex]
Evaluate the sum
[tex]\bar x_7 = \frac{1660}{20}[/tex]
Evaluate the quotient
[tex]\bar x_7 = 83[/tex]
By comparison, 83 is greater than 79.5
Hence, the average score of period 7 is greater than the average score of period 1
Read more about dot plots at:
https://brainly.com/question/12276901
I NEED HELP QUICK!!!!
Answers
Answer:
45 miles
Step-by-step explanation:
Giving Information.
From Northville To Newberry is 18 inches.
2 in -> 5 miles
The inches cancel each other out leaving it miles.
[tex]18 inches*\frac{5 miles}{2 inches} = 45 miles[/tex]
Answer: 45 miles.
Step-by-step explanation: 2 in -> 5 miles, 18 inches.
Your local garden shop has plants on sale for $1.50 each. You are planning a vegetable
garden. You have $20 to spend on tomato plants
a.) write an inequality to find the greatest number of plants you can buy.
60 points please helppp
Answers
The inequality that can be used to find the greatest number of plants you can buy is p ≤$20 / 1.50.
What inequality can be used to find the greatest number of plants you can buy?Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used in this question is ≤.
(cost of plant x number of plants) ≤ total spending money
$1.50p ≤ $20
p ≤ $20 / 1.50
To learn more about inequality, please check: https://brainly.com/question/5031619
During a sale, a store offered a 15% discount on a TV that originally sold for
$540. After the sale, the discounted price of the TV was marked up by 15%.
What was the price of the TV after the markup? Round to the nearest cent.
Answers
0.765 (100) + .06 (.0765 x 100)
76.5 + .06 (76.5)
76.5 + 4.59 = 81.09 Chris will pay $81.09
A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:
0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.
Why the 1 in front of the .06? The one includes the price of the coat so you don't have to add the tax on after.
Think about it like this. When you buy something you pay (even with an employee
discount) for all of it (100%) + the tax (in this case, it's 6%) So you pay 106% of the cost of the item. 106% = 1.06
1/7 divided by 3
Is it 1/3 or 1/2 im so confuse
Answers
[tex] \frac{1}{7} \div 3[/tex]
solution:[tex] \frac{1}{7} \div \frac{3}{1} [/tex]
[tex] \frac{1 \times 1}{7 \times 3} [/tex]
[tex] = \frac{1}{21} [/tex]
If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?
Answers
Answer:
i think it's c
Step-by-step explanation:
sorry if I'm wrong
Which function has the greatest maximum y-value?
A) f(x)
B) g(x)
C) h(x)
D) AIl three functions have the same maximum y-value.
Answers
Answer:
g(x)
Step-by-step explanation:
y-intersect for h(x) is -11 as shown in the table, where the x value is 0
y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99
y-intersect of g(x) is 3 as shown in the drawing
as seen across the three y-intersects, the value of g(x) y-intesect is the greatest
Let (20, 48) be a point on the terminal side of an angle ϴ in standard position. Evaluate the six trigonometric functions of ϴ .
Answers
The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12.
How to determine the six trigonometric functions from coordinates in rectangular form
Given the coordinates in rectangular form, that is, (x, y), where each component belongs to an orthogonal axis of reference. By trigonometry we have six functions to be calculated:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that x = 20 and y = 48, then the six trigonometric functions are, respectively:
[tex]\sin \theta = \frac{48}{\sqrt{20^{2}+48^{2}}}[/tex]
[tex]\sin \theta = \frac{12}{13}[/tex]
[tex]\cos \theta = \frac{20}{\sqrt{20^{2}+48^{2}}}[/tex]
[tex]\cos \theta = \frac{5}{13}[/tex]
[tex]\tan \theta = \frac{12}{5}[/tex]
[tex]\cot \theta = \frac{5}{12}[/tex]
[tex]\sec \theta = \frac{13}{5}[/tex]
[tex]\csc \theta = \frac{13}{12}[/tex]
The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12. [tex]\blacksquare[/tex]
To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750
100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT
The edge length, s, of a regular tetrahedron is approximately given by , where V is the volume of the terahedron. Use a graphing calculator to graph the function. Estimate the volume of a regular tetrhedron with an edge length of 4 inches.
Answers
Volume of a tetrahedron with edge s
[tex]\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}[/tex]
According to question
s=4in[tex]\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}[/tex]
[tex]\\ \rm\Rrightarrow V\approx 7.5425in^3[/tex]
Answer:
See below ~
Step-by-step explanation:
Volume of a tetrahedon
V = s³ / 6√2s = edge lengthSolving for V
V = (4)³ / 6√2V = 64 / 6√2V = 32 / 3√2V = 32√2 / 6V = 16√2 / 3V = 7.54 cubic inchesGraph
need help will give brainlist
Answers
Answer:
It's the 2nd one 3y2-43y over 12y2
Step-by-step explanation:
First u do a common denominator u multiply on the first side by 6y on the second side by 4 then u solve it till u get 6y2-86y over 24y2 then simplify by dividing by 2
If a parallelogram has dimensions of 44 cm and 66 cm, what is the perimeter in millimeters?
Answers
perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter
possible
An unusually wet spring has caused the size of a mosquito population in some city to increase by 6% each
day. If an estimated 230,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the
city on May 26. Use y = 230,000(1.06)* where x is number of days since May 12.
Answers
Answer:
about 520,000
Step-by-step explanation:
Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.
__
The value of x will be the number of days between May 26 and May 12. That value is ...
x = 26 -12 = 14
Then the number of mosquitos is estimated to be ...
y = 230,000(1.06^14) ≈ 520,008
About 520,000 mosquitos will inhabit the city on May 26.
_____
Additional comment
Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.
A group of friends were working on a student film that had a budget of $1500. They
used $780 of their budget on costumes. What percentage of their total budget did
they spend on costumes?
Answers
Answer: 52 %
Step-by-step explanation: 780/1500 × 1100/1
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
780/1500 x 100 = 52%
The percentage of the amount spent on customs is 52%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total budget = $1500
Amount spend on costumes = $780
The percentage of the amount spend on customs.
= 780/1500 x 100
= 52%
Thus,
The percentage of the amount spent on customs is 52%
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
Find the probability that x > 5
Answers
Answer:
The probability of x ≥ 5 is.05Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧
Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents
Answers
Answer:
i believe its 100*20x
Step-by-step explanation:
please no h8 i tried
state the slope of the line perpendicular to the line -2x+5y=12
Answers
Answer:
- 5/2
Step-by-step explanation:
Arrange this line equation into y = mx + b form m = slope
y = 2/5x + 12/5
then perpindicular line = - 1/m = - 1/ (2/5) = - 5/2