What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?
Answers
Answer:
Option A.
Step-by-step explanation:
y + 1 = -3x + 15
y = -3x + 14
A line perpendicular would have a slope of 1/3.
y = 1/3x + c
-6 = 1/3 * 4 + c
4/3 + c = -6
c = -18/3 - 4/3
c = -22/3
So, we have y = 1/3x - 22/3.
y + 6 = 1/3(x - 4)
y + 6 = 1/3x - 4/3
y = 1/3x - 4/3 - 18/3
y = 1/3x - 22/3
So, the correct answer is Option A.
Hope this helps!
Related Questions
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60
Answers
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer to your question is 12x - 24=60
So we know that 12x will be the number of cookies.
It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.
Here is the work:
12 (x-2)= 60
12x-24=60
So the answer should be 12x -24 = 60
Hope this helps!
By:xBrainly
Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?
Answers
Answer:
32 hours and 65 minutes
Step-by-step explanation:
Answer:
The Answer is 33 hours and 5 minutes
Step-by-step explanation:
The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min
Sean and katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their family's future? A. Invest in in several real estate options B. Invest in high-risk shares that promise big returns C. Invest in a joint insurance and retirement plans D. Become entrepreneurs or invest in a profit-making business
Answers
PLEASE MARK BRAINLIEST!!!!!! Thanks
Answer:
A joint insurance and retirement plan would generally be the most secure investment.
Step-by-step explanation:
Note: there may be divergence in the answers depending on personal opinion.
If they would like to secure their future, then they need secure investments, or low-risk investment. Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.
A. real estate options, mean unknown return in unknown time-frame
B. high risk shares that promise big returns mean risky investment with high risk of losses
C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)
D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.
Solve : a) (x-4)(x-2)=0
Answers
Answer: X= 3
Step-by-step explanation:
x-4*x-2=0
+4. +4
—————-
x*x-2=4
+2. +2
——————
x*x=6
2x=6
/2. /2
—————-
x=3
Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D
Answers
Answer:
The first one
Step-by-step explanation:
because all of the sides have the same measurement.
Answer:
Triangle C
Step-by-step explanation:
Triangle A: All sides have length 9 cm.
By SSS this is a unique triangle.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
By SAS this is a unique triangle.
Triangle C: Two angles measure 50°.
This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.
Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?
This gives us ASA, so we have a unique triangle.
Answer: Triangle C
what is the volume of a cone with a radius of 4 cm and a height of 5 cm help
Answers
Answer:
83.80 cm³
Step-by-step explanation:
volume of cone=
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
1/3×22/7×4×4×5=1760/21= 83.80 cm³
efore the overtime rule in a football league was changed, among 400 overtime games, 194 were won by the team that won the coin toss at the beginning of overtime. Using a 0.10 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. Does the coin toss appear to be fair?4
Answers
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 400[/tex]
The number of game won by team that won the coin toss at the beginning of overtime [tex]x = 194[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The population proportion is evaluated as
[tex]p = \frac{194}{400}[/tex]
[tex]p = 0.485[/tex]
Since the population proportion is 0.485 [tex]\approx[/tex] 0.5 which implies that the coin toss is fair then
The Null hypothesis is
[tex]H_o : p = 0.485[/tex]
and The Alternative hypothesis is
[tex]H_a : p \ne 0.485[/tex]
The test statistics is evaluated as follows
[tex]t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }[/tex]
substituting values
[tex]t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }[/tex]
[tex]t = -0.5515[/tex]
=> [tex]|t| = 0.5515[/tex]
now the critical value of [tex]\alpha[/tex] for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is
[tex]t_{\alpha } = 1.645[/tex]
This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair
Please help find the measure of the arc
Answers
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
learn more about arc of circle
https://brainly.com/question/1577784
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Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Answers
Bsnshsnsjajs
Shamans
Ah
Skek6171
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answers
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
Explain
We have
F(x)= x^2
G(x) = f(3x)
It obtained by substituting x= 3
We have
G(x) = (3x)^2
G(x) = 9x^2
So
G(x) = 9x ^2
When X= 1
g(1)= 9(1)^2 = 9
X= -1
g(-1) = 9 (-1) ^2 = 9
So now
This is the only valid and visible in the graph B
We can see x= 1 or x= -1
The graph shoots up to the value of 9
Glad I can help you
Good Luck :D
Sammy has 34 pizzas. He gave 4 to his colleagues at work and the rest he brought home to deliver to three separate parties. How many pizzas did Sam bring to each party?
Answers
Answer:
Sammy delivered 10 pizzas to each party.
Step-by-step explanation:
34 pizzas - 4 pizzas
= 30 pizzas
30 pizzas/ 3 parties
= 10 pizzas per party
Answer:
Hey there!
Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.
He split these between three parties, thus each party received 10 pizzas.
Hope this helps :)
When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x
Answers
Explanation :
1/2x = -1/2x
1/2x + 1/2x = 0 ( pull the one with smaller value to the bigger ones )
2/2x = 0
x= 0
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true
Answers
Answer:
380 tickets were sold at the door and 440 tickets were sold before
Step-by-step explanation:
x = tickets sold before
y = tickets sold at the door
x + y = 820
x = y + 80
y + 80 + y = 820
-80 -80
2y = 740
y = 370
820 - 380 = 440
x = 440
find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm
Answers
Answer:
I hope it will help you......
Given: length=15cm and breadth=8 cm
To find diagonal
SOLUTION :BY PYTHAGORAS THEOREM
H^2=P^2+B^2
H^2=15^2+8^2
H^2=225+64
H^2=289
H=root of 289
H=17cm
HENCE,THE DIAGONAL IS 17cm
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!!
what is the value of 4y when y= - 3
Answers
Answer:
-12
Step-by-step explanation:
We just plug in -3 and multiply.
4y
= 4(-3)
= -12
Hope this helped!
please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answers
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)
plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct
Answers
Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]
Answers
You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.
If x, y, z, are integers such that 2^x*3^y*7*z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answers
Answer:
[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]
Step-by-step explanation:
hello,
let's try to divide by 7 329 it comes
329 = 47 * 7
and 329 is not divisible by 2 or 3 so
the solution is
x = 0
y = 0
z = 47
[tex]2^0*3^0*7*47=329[/tex]
hope this helps
what is the result of dividing 48a^3 + 32a^2 + 16a by 4a? A. 12a^2 + 8a + 4 B. 12a^2 + 4a + 8 C. 12a + 8 D. 12a^2 + 4a + 4 Simplify (2x-2y)(2y+8)=? A. 4xy-4y^2 B. 4xy-16x-4y^2-16y C. 4xy+16x-4y^2-16y D. 4xy+16x+4y^2+16y Simplify (-8q^3r^4s^2)^2=? A. 64q^9r^16s^4 B. -64q^6r^8s^4 C. 64q^6r^8s^4 D. -64q^9r^16s^4 What is the result if you divide -12x^8y^8 by 3x^4y^2? A. -4x^4y^6 B. 4x^2y^4 C. 4x^4y^6 D. -4x^2y^4
Answers
Answer:
1. A. 12a^2 + 8a + 4
2. C. 4xy+16x-4y^2-16y
3. C. 64q^6r^8s^4
4. A. -4x^4y^6
Step-by-step explanation:
48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.
So, the answer is A. 12a^2 + 8a + 4.
(2x-2y)(2y+8) = 4xy - 4y^2 + 16x - 16y.
So, the answer is C. 4xy+16x-4y^2-16y.
(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.
So, the answer is C. 64q^6r^8s^4.
-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.
So, the answer is A. -4x^4y^6.
Hope this helps!
Express 35 millimetre in centimetre
Answers
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
- The Brainly Team
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12
Answers
Answer:
d. 12
Step-by-step explanation:
if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.
If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.
Answer: its d, 12
Step-by-step explanation:
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $350 and $400.
Answers
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
34%
Step-by-step explanation:
Acellus sux
Solve the system of equations by graphing the equations y=x+2 and y=3x-2 (show work plz )
Answers
Answer:
(2, 4)
Step-by-step explanation:
You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.
Hope this helps! :)
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D
Answers
Answer:c
Step-by-step explanation
Answer:
the Answer is A
Step-by-step explanation: took the test
Please can someone help me on how to answer this question?
Answers
Answer:
Hello, I'll do it again caus eit got deleted for some reason!
m = 2g^2 + 5
Step-by-step explanation: Remove the radical by raising each side to the index of the radical.
Hope this helped you again!
intro to geometric sequences (help pls)
Answers
Answer:
Option B
Step-by-step explanation:
The formula for geometric sequence is given by:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] = nth term of sequence
[tex]a_{1}[/tex] = 1st term of the sequence
[tex]r[/tex] = common ratio (ration of the second term to the first term)
So,
Here:
[tex]a_{1}[/tex] = 12
[tex]r[/tex] = 6/12 = 1/2
Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:
=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answers
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
PLSSSS HELP ASAPPPP Which is the graph of g(x) = [X +3]
Answers
Answer:
the last one
Step-by-step explanation:
the image of [0.1] is 1 using X and now it's X+3
so the image will be 4
Answer:
Last graph, 4, D
Step-by-step explanation:
g(x) = [X +3] is the graph we're looking for
g(x) = X would be a straight line with an equation of y=1x+0 and a slope of 1
So
g(x) = [X +3] would be adding 3 to the vertical asymptote of g(x)
or it would look like
y=1x+3
so the answer to this would be the line that has y = x+3
So the last one
Find the area of the triangle.
Answers
Answer:
80cm^2
Step-by-step explanation:
Answer:
80 ft^2
Step-by-step explanation:
To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2