Write the equation of the line that passes through (-4,1) and is perpendicular to the line y=2x+3
Answers
Answer: y = -(1/2)x - 1
Step-by-step explanation:
y=2x+3
This is written in the format of y = mx + b, where m is the slope and b the y-intercept. The slope of this reference line is 2. Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. That means out new line will have a slope of -(1/2):
y = -(1/2)x + b
We can find b by entering the x and y for the given point (-4,1) and solve for b:
y = -(1/2)x + b
1 = -(1/2)(-4) + b
1 = 2 + b
b = -1
y = -(1/2)x - 1
This equation is perpendicular to y=2x+3 and goes through point (-4,1). See attachment.
Related Questions
please please look at the picture and see if you can help!!!! i’m struggling so badly!
Answers
Pls solve this with solution
Answers
[tex] \huge{꧁\: \large \frak{ \huge question } \: \huge꧂}[/tex]
what's the Answer ?
[tex]5 - 5 \div 5[/tex]
Answers
Answer:
[tex]5 \div 5 = 1[/tex]
[tex]5 - 1 = 4[/tex]
Hence , 4 is the answer !!Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
5/5 =1
5-1 = 4
*4 is the ANSWER
(Have a Great Day)
There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?
Answers
The number of students that play hockey is 7
The proportion is given as:
[tex]Piano =\frac 12[/tex]
[tex]Hockey =\frac 14[/tex]
[tex]School\ Play =\frac 17[/tex]
The total number of students must be a multiple of 2, 4 and 7 less than 30;
The only multiple of 2, 4 and 7 less than 30 is 28.
The number of students that play hockey is the product of 28 and the proportion that plays hockey.
So, we have:
[tex]Hockey =\frac 14 \times 28\\[/tex]
Multiply
[tex]Hockey =7[/tex]
Hence, 7 students play hockey
Read more about common multiples at:
https://brainly.com/question/290451
17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)
Answers
Answer:
the corect answers is d and c
Step-by-step explanation:
Answer: B D E
Step-by-step explanation: I got it right on usetestprep
tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?
Answers
Answer: Tyson is 188 centimetres tall.
please help me with this question
at the first blank there are options either (y-intercept, slope, x-intercept)
second blank (positive, negative, 0, a whole number)
Answers
Answer:
y-intercept
zero
Step-by-step explanation:
We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.
What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2
Answers
The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]
The given expression is:
[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]
Expand the expression using the laws of indices
[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]
[tex]25y^2 \times 4y^2[/tex]
Multiply like terms
[tex](25 \times 4)y^{2+2}[/tex]
The resulting expression is:
[tex]100y^4[/tex]
Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]
Learn more on indices here: https://brainly.com/question/10339517
Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.
Answers
Answer:
14
Step-by-step explanation:
For every question, there should be 1 answer.
There are 4 answers for the 4 questions
4 times 4 = 16
The function f is defined below.
f(x)=−2x−3
Find f(1).
Answers
Answer:
[tex]f(1)=-5[/tex]
Step-by-step explanation:
[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]
f(1) means to substitute x with 1 or that x=1. So since x=1 you will substitute it in where x is and then solve like a regular equation which will give you -5.
3x - 1 = 5 help me plz
Answers
Answer:
x = 2
Step-by-step explanation:
3x - 1 = 5
First, add 1 onto both sides. (When doing these type of questions you must do the inverse!)
3x = 6
Divide by 3 on both sides to get x.
x = 2
Hope this helps and I hope you have a good day!
Answer: 2
Step-by-step explanation: move constant to the right, calculate, divide both sides
How do I find the percentage of two column data table?
Answers
B) 52.30%
hope this is helpful!
i have questions up will mark brainliest
Answers
Answer:
what questions?
Step-by-step explanation:
A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.
Answers
Answer:
42inches
Step-by-step explanation:
Perimeter = 4s
where s is length of each side
when s is 10.5
Perimeter = 4 × 10.5
= 42
13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine
Answers
Answer:
hi
Step-by-step explanation:
Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as
shown below in figure.
The force which causes motion is ?
I need help please it’s for school
Answers
From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.
Where is the Santa Clause's residence?
The residence of Santa Clause is popularly known as the North Pole.
According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km
Learn more about London in: https://brainly.com/question/7416097
4. Find the solution for each equation:
x + 4 = 16
Answers
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
when solving and equation with a variable, you must work backwards and do the opposite of the equation
sooo… you must subtract 4 (opposite of +4 is -4)
[tex]16-4=2[/tex]
x=12
Answer:
12 easy
Step-by-step explanation:
4 +12 =16 it's easy
If there are 18 boys and 54 gurls in a room,fill out a of the possible ratios of boys to girls that could be made
Answers
Answer:
2:6 and 1:3.
Step-by-step explanation:
18 divided by 9 = 2
54 divided by 9 = 6
18 divided by 18 = 1
54 divided by 18 = 3.
Hope that helps. x
Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .
Step - by - step explanation :
18:54 divided by 6/6 = 3:9
3:9 divided by 3/3 = 1:3 <-- simplest form :D
Find the slope of the line through each pair of points. (5, −5) (0, −1)
Answers
Answer:
slope = - [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-(-5)}{0-5}[/tex] = [tex]\frac{-1+5}{-5}[/tex] = [tex]\frac{4}{-5}[/tex] = - [tex]\frac{4}{5}[/tex]
Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.
Answers
Answer:
send the graph and ill solve it
Step-by-step explanation:
is the expression x³·x³·x³ equivalent to x³·³·³? why or why not? explain your reasoning
Answers
Answer:
Definitely not equivalent.
Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.
x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27
x^3 * x^3 * x^3 would be x^3+3+3 or x^9
amplitude of y=-2sin(3x)+6
Answers
Answer:
amplitude = 2
Step-by-step explanation:
Given sine in standard form
y = asinbx + c
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift
Given
y = - 2sin(3x) + 6
amplitude = | - 2 | = 2
A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?
A. 16
B. 25
C. 18.75
D. 5
Answers
Answer:
I believe the answer is 16 Don't get mad if incorrect just trying my best
Answer:
A. 16
Step-by-step explanation:
If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.
What is the property to be used in each equation to solve for x? APE, SPE, MPE or DPE? (Property of Equality)
x+47=28
20=x-11
3.9x=27.3
5/7=-5/7 x
-x=27
32-x=27
Answers
Answer:
S, A, D, D, M
Step-by-step explanation:
Always do the opposite of what is happening in the equation.
x + 47 = 28, is adding, so you would use subtraction to solve for x.
the size of the angles of a quadrilateral are in the ratio 1:2:3:3. calculate the size of each angle???
Answers
The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.
1. Classify the following polynomials as monomial, binomial trinomial and polynomial.
i) 7ab – 5a
Answers
Answer:
it's binomial...............................
please help what is 4.651-50.3
Answers
What is the distance from 5,1 and 2,1
Answers
Answer:
2.0
Step-by-step explanation:
This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).
Distance means subtraction. Between means to 5.1 and 3.1 .
So 5.1 - 3.1 = 2.0
the two triangles below are similar.
Answers
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
Solve the equation below and explain how you solved it
x- 5 (x-1) = x- (2x-3)
(No bots or u will be reported)
Answers
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides
x - 5x + 5 = x - 2x + 3
- 4x + 5 = - x + 3 ( add x to both sides )
- 3x + 5 = 3 ( subtract 5 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{2}{3}[/tex]