write an equation of a line that passes through (-6,4) and is PERPENDICULAR to y=3x-11
Answer:
y = -1/3x + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Perpendicular lines have the negative reciprocal slope of the original.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3x - 11
Point (-6, 4)
Step 2: Find slope m
Negative Reciprocal of 3 = -1/3
Step 3: Define
y = -1/3x + b
Step 4: Find y-intercept b
Substitute in point: 4 = -1/3(-6) + bMultiply: 4 = 2 + bSubtract 2 on both sides: 2 = bRewrite: b = 2Step 5: Write perpendicular linear equation
y = -1/3x + 2
A busy traffic intersection in a city was experiencing an average of 20 accidents per week. The council decided to try to reduce the number of accidents by placing a stop sign at the intersection. In this situation, what is:
a. the null hypothesis
b. the alternative hypothesis
Answer:
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
Step-by-step explanation:
We are told that the telraffic was experiencing an average of 20 accidents per week.
Thus, μ = 20
We are told that the council decided to try to reduce the number of accidents.
Thus defining the hypothesis, we have;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
write an equivalent multiplication expression for 1/3 divided by 3
Answer:
1/3 times 1/3
Step-by-step explanation:
the answer is 1/3 * 1/3 because when you divide with fraction you make the 3 or 3/1 turned around which is 1/3, then you multiply 1/3 * 1/3
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer
than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
Step-by-step explanation:
d + 2d - 8 = 46
3d - 8 = 46
3d = 54
d = 18
The length of a jogging trail is 3528 m. A jogger wants to complete the trail within 30 min.
How many meters must the jogger travel each minute?
Answer:
117.6 meter per min
Step-by-step explanation:
since the jogger wants to complete the trail in 30 minutes and the total length of the trail is 3528m you just need to divide the length of the trail (3528) by the total amount of time to get the answer
Answer:
117.6m per minute
Step-by-step explanation:
3528:30
588:5
30 divided by 6=5
3528 divided by 6=588
Then
5 divided by 5=1
588 divided by 5=117.6
117.6m:1
using the arithmetic sequence 12,15,18,21.....What is the 12th term of the sequence
Answer: 45
Step-by-step explanation:
f(n) = f(1)+CD(n-1)
f(n) = 12+3(n-1)
f(n) = 12 +3n -3
f(n) = 3n+9
plug in 12 for n
f(12) = 3(12)+9
= 36 +9
=45
Answer: 45
Step-by-step explanation: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
oscar earns 12 per hourfor the first 8 hours he works each day. for every hour worked 8, he earns 1 1/4 of his normal hourly wage. on Thursday he wroked from 8:00 A.M. to 11:45 A.M., took a 30 minute lunch break, and he left work for the day at 6:45. how much money (in dollars) did oscar earn Thursday?
Answer:
freeeeeeeeeeeeeee pointtttttttttttt
Step-by-step explanation:
Please tell me this answer
Answer: 162
60466176/373248
Step-by-step explanation: 12^4*9^3*4= 60466176 and 6^3*8^2*27= 373248. If you divide these together you get 128.
What is the kinetic energy of a bicycle that has a mass of 20 kg and is traveling at a velocity of 10 m/sec? KE= .5 x M x V^2
The kinetic energy of the bicycle is 100 N
What is kinetic energy?Kinetic energy is the energy in motion and it is energy doing work. It can be expressed by using the formula:
[tex]\mathbf{K.E = \dfrac{1}{2}\times m \times v^2}[/tex]
where;
m = mass of the object v = velocity of the object[tex]\mathbf{K.E =0.5 \times 20 \ kg \times 10 \ m/s^2}[/tex]
K.E = 100 N
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(I'LL GIVE BRAINLIEST TO WHO EVER HELPS ME!!)
Estimate and then solve 6,699 ÷ 72 = ___.
A) 92 r 4
B) 93 r 3
C) 94 r 3
Answer:
C) 93 r 3
Your Welcome! ^O^
0 0 9 3
7 2 6 6 9 9
− 0
6 6
− 0
6 6 9
− 6 4 8
2 1 9
− 2 1 6
3
Answer:
thats wrong the correct answer is 94 r 3
Step-by-step explanation:
Each good worker can paint my new house alone in 12 hours. Each bad worker can paint my house alone in 36 hours. I need my house painted in 3 hours. If I can only find 3 good workers, how many bad workers must I also find in order to have my house painted on time?
Pls give explanation
In 3 hours, one good worker can paint one fourth of your house. Three good workers can thus paint three fourths of your house in three hours, leaving one fourth to be done by bad workers.
One bad worker can paint one twelfth of your house in 3 hours. There are three twelfths in one fourth, so you will need to hire three bad workers to have your house painted on time.
Select all radical expressions that are equivalent to 347. (3√4)7 (3√7)4 21−−√4 37−−√4 81−−√7 12−−√7
Answer: (3√7)4 and 81−−√7
Step-by-step explanation:
Determine whether the system has no, one, or infinitely many solutions.
y = -6
4x + y = 2
Answer:
It should have one answer
Step-by-step explanation:
y = -6
4x + -6 = 2
4x = 8
2
Tyler’s brother works in a shoe store. Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Answer: 12.6
Step-by-step explanation: calculator ._.
Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.
The distance between the points have been calculated.
What is the Distance Formula?The distance formula is used to calculate distance between two points on a coordinate system.
The formula is
[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
AB² = (2-0)²+(4-4)²
AB = 2
FG² = (6-7)²+(1-1)²
FG =1
BC² = (2-2)²+(3-4)²=1
BC = 1
GH² = (6-6)²+(1.5-1)²=0.5
GH = 0.5
DI² = (5-4)²+(2-2)²
DI = 1
HI² = (5-6)²+(2-1.5)² = 1.25
HI = 1.12
DE² = (4-4)²+(0-2)²
DE = 2
IJ² = (5-5)²+(3-2)²
IJ = 1
EA² = (0-4)²+(4-0)²
EA = 5.66
JK² = (7-5)²+(1-3)²
JK = 2.83
The missing data of the question is
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
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Which are the partial products of 3706 x 4?
Answer:
There are no partial products to this equation. There is only one product! Okay first we will multiply 4 x 6 to get 4 in our ones place, carry the 2 over the zero put the 2 down 4 x 7 is 28 put the 8 down carry the 2, 4 x 3 is 12 + 2 is 14! So you're final product is 14,824!!!
The partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
The given product is 3706 x 4 and can be written as:-
3706 x 4 = [ 3000 x 4 + 706 x 4 ]
Therefore, the partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).
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please help me asap impor
When you [_______________] measurements, the answer should only have the same number of significant figures as the measurement with the fewest significant figures
Answer:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures. Procedure to determine significant figures after multiplication or division: 1.
Step-by-step explanation:
The required solution is multiplication or division.
It is required to find the fill in blanks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures.
Therefore, the required solution is multiplication or division.
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WILL GIVE BRAINLIEST
Answer: a.
Step-by-step explanation:
If there is a negative mark next to the whole fraction, that means both of the numbers are negative.
I am not sure if this answer is accurate. Please inform me if I am incorrect. TY.
Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below. 1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b. 2. Multiply by 5: a = 50 minus 10 b. Which statement about Roman’s work is true? In step 1, he needed to add 2b to both sides of the equation. In step 1, he needed to divide both sides of the equation by 2b. In step 2, he needed to divide both sides of the equation by 5. In step 2, he needed to subtract 5 from both sides of the equation.
Answer:
It's C
Step-by-step explanation:
In step 2, he should have divided. Have a great day!
Answer:
C: In step 2 he should divide the equation on both sides by 5.
Step-by-step explanation:
Took the test, got it right.
4 4/5 divided by 2 1/5
Answer:
2 2/11
Step-by-step explanation:
11. Estimate the number of quart containers Ethan
can fill from a container with 8 quarts of water.
Answer:
A little over 4 and a half
Step-by-step explanation:
8 divided by 2 (making it one half) is 4 and 7/8 is greater than 1/2
Find the value of x when x² is equal to 121. * 4 points
What is the distance between $(12, 4)$ and $(5, 28)$?
Answer
8
Step-by-step explanation:
16
Using the distance formular, the distance between the coordinate points given is 25
Recall the relation :
Distance = √[(y2 - y1)² + (x2 - x1)²]Distance = √[(28 - 4)² + (5 - 12)²]
Distance = √[(24)² + (-7)²]
Distance = √(576 + 49)
Distance = √625
Distance = 25
Hence, the distance between the points is 25
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Renting the ice-skating rink for a birthday party costs $200 plus $4 per person. the rental costs $324 in total
If we can translate the statement "The ice rink costs $200 plus $4 per person to rent for a birthday celebration and the entire cost of the rental is $324" into an algebraic equation, we get 4x + 200 = 324, where x is the number of people at the birthday party. The solution of this equation i.e. the number of people at the birthday party is 31.
What is an algebraic equation?A statement of the equivalence of two expressions created by executing algebraic operations on a set of variables, such as addition, subtraction, multiplication, division, raising to a power, and root extraction, is known as an algebraic equation.
How to solve this problem?Let the number of people at the birthday party be x.
Given that the ice rink costs $200 plus $4 per person to rent for a birthday celebration. So, the rent is 4x + 200.
Also, given that the entire cost of the rental is $324.
We can write the corresponding algebraic equation as
4x + 200 = 324
Now we have to solve this equation.
So, 4x = 324 - 200 = 124
i.e. x = 124/4 = 31
Therefore the required algebraic equation is 4x + 200 = 324, where x is the number of people at the birthday party. Also, the solution of this equation i.e. the number of people at the birthday party is 31.
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Jerry started doing sit ups every day. The first day he did 15 sit ups. Every day after he did 4 more sit ups than he had done the previous day. Today jerry did 65 sit ups. Write an equation that could be solved to find the number of days jerry has been doing sit ups, not counting the first day.
Answer:
y=4x+15
Step-by-step explanation:
y-total
x-days
the mean of the following numbers is 15. 14,10,18,,21,15,14
Answer:
= 15.285714285714
Step-by-step explanation:
Leon visited Chicago, which is located on the shore of
Lake Michigan. The lake has a volume of about 4,920
_. Chicago was a major gateway to the west in
1825 when the Erie Canal was completed. When built,
the Erie Canal was 680 long and only 100_, or
10 deep. While in Chicago, Leon visited the Sear
Tower. One of the tallest buildings in the world, the
Sears Tower is 443 tall
during Leon's visit was about 7
Answer:
Step-by-step explanation:
Leon visited Chicago, which is located on the shore of
Lake Michigan. The lake has a volume of about 4,920
km cubed. Chicago was a major gateway to the west in
1825 when the Erie Canal was completed. When built,
the Erie Canal was 680 long and only 100 or
10 deep. While in Chicago, Leon visited the Sear
Tower. One of the tallest buildings in the world, the
Sears Tower is 443 tall
during Leon's visit was about 7
Fixed expenses should
A. be less than discretionary spending
B. be more than discretionary spending
CC. not total more than your gross pay
D. not total more than your net income
A card is drawn from a deck of 52 cards. What is the probability that it is a 6 or club a ?
Answer: 0.3077
Explanation: In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
In all we get: 13+4−1/52=16/52=4/13≈0.3077
Hope this helps... Stay safe and have a great day/night!!!