What is the GCF in the following expression, 6y+18 PLEASE HELP ASPAP!!!
find the value of x and y if the distance of the point (x,y) from (-2,0) and (2,0) are both 14 units.
Answer:
\( (0, 8\sqrt{3}) \) and \( (0, -8\sqrt{3}) \) are both 14 units from points (-2, 0) and (2, 0).
Step-by-step explanation:
distance formula
\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
We want the distance, d, from points (-2, 0) and (2, 0) to be 14.
Point (-2, 0):
\( 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} \)
\( \sqrt{(x + 2)^2 + y^2} = 14 \)
Point (2, 0):
\( 14 = \sqrt{(x - 2)^2 + (y - 0)^2} \)
\( \sqrt{(x - 2)^2 + y^2} = 14 \)
We have a system of equations:
\( \sqrt{(x + 2)^2 + y^2} = 14 \)
\( \sqrt{(x - 2)^2 + y^2} = 14 \)
Since the right sides of both equations are equal, we set the left sides equal.
\( \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} \)
Square both sides:
\( (x + 2)^2 + y^2 = (x - 2)^2 + y^2 \)
Square the binomials and combine like terms.
\( x^2 + 4x + 4 + y^2 = x^2 - 4x + 4 + y^2 \)
\( 4x = -4x \)
\( 8x = 0 \)
\( x = 0 \)
Now we substitute x = 0 in the first equation of the system of equations:
\( \sqrt{(x + 2)^2 + y^2} = 14 \)
\( \sqrt{(0 + 2)^2 + y^2} = 14 \)
\( \sqrt{4 + y^2} = 14 \)
Square both sides.
\( y^2 + 4 = 196 \)
\( y^2 = 192 \)
\( y = \pm \sqrt{192} \)
\( y = \pm \sqrt{64 \times 3} \)
\( y = \pm 8\sqrt{3} \)
The points are:
\( (0, 8\sqrt{3}) \) and \( (0, -8\sqrt{3}) \)
Solve -4n+14= -2(n-5)
Answer:
\( \huge{ \bold{ \boxed{ \tt{n = 2}}}}\)
Step-by-step explanation:
\( \text{ - 4n + 14 = - 2(n - 5)}\)
Distribute -2 through the parentheses
\( \text{↦ - 4n + 14 = - 2n + 10}\)
Move 2n to right hand side and change it's sign
\( \text{↦ \: - 4n + 2n + 14 = 10}\)
Move 14 to right hand side and change it's sign
\( \text{↦ \: - 4n + 2n = 10 - 14}\)
Combine like terms
\( \text{↦ \: - 2n = 10 - 14}\)
Remember : The negative and positive integers are always subtracted but posses the sign of bigger integer.
\( \text{↦ \: - 2n = - 4}\)
Divide both sides by -2
\( \rm{↦ \: \frac{ - 2n}{ - 2} = \frac{ - 4}{ - 2}} \)
\( \text{↦ \: n = 2}\)
The value of n is 2 .
Hope I helped!
Best regards! :D
~TheAnimeGirl
Help please?? What do I put for the last 2??
Answer:
I Didnt mean to answer sorry i cant help
I dont know
How Go back Srry Again
HELP ME PLS LOVE U GUYS
Answer:
226.2 cm²
Step-by-step explanation:
circumference is 2πr = 6π cm
area is length·width, so 6π·12 = 72π ≈ 226.2 cm²
lateral means: exclude top and bottom.
Helppppppp pleaseeee find the value of x. Step by step please
Which statement is true about this equation? y = -3x² + 4x - 11
The statement that is true about the equation y = -3x² + 4x - 11 is (b) that it represents both a function and a relation
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
y = -3x² + 4x - 11
The missing options are added at the end of this solution
Recall that, we have
y = -3x² + 4x - 11
The above equation is a quadratic function
As a general rule
All functions are relations
Using the above as a guide, we have the following:
The equation is a function and a relation
Hence, the true statement is (b) it represents a function and a relation
Read more about function and relation at
https://brainly.com/question/17528461
#SPJ1
Complete question
Which statement is true about this equation? y = -3x² + 4x - 11
A. It represents a function only. B. It represents both a relation and a function. C. It represents a relation only. D. It represents neither a relation nor a function.
I NEED HELP IMMEDIATELY PLZ!
Answer:
f ( x ) = \(x^{3}\) − 2 \(x^{2}\) + x + C
Find the area of the parallelogram.
Question 16 options:
*the bottom is 5.8 inches.
A)
29 square units
B)
37.12 square units
C)
14.5 square units
D)
32 square units
PLEASE HELP ASAP
Answer:
B
Step-by-step explanation:
If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.
10
15
34
20
Answer:
20
Step-by-step explanation:
3 (b + a) = c
3 (4 + 5) = 7
12 + 15 = 7
27 = 7
27 - 7
20
\(\huge\boxed{ \sf{Answer}} \)
Given,
\(a = 5 \\ b = 4 \\ c = 7\)
And the equation we need to solve is,
\(3(b + a) = c\)
To find the answer, you need to substitute the values of a, b & c in the equation.
\(3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20\)
↦ The answer is 20.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
SOMEONE PLEASE HELP ME I WILL GIVE BRAINLY
Answer:
C
Explanation:
A function always goes along the x-axis and never repeats
A, B and D repeat on the x-axis so C is your answer
help I literally got a 4/10 in my english test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- I used all the points I think that’s what it’s called? But helpppp please
Answer:
1. their
2. your
3. there
4. You're
5. they're
6. it's
Step-by-step explanation:
Answer: Below
1. Their
2. i dont know sorry
3. There
4. Your're ( I think, I am not good at the Ys
5. They're
6. I think it's
Please do not take these answer for granted I am trying my best
Thank you and have a great nae nae
This is due in 20 minutes. Please help!!!
1. A store buys a t-shirt for $3 and sells it for $12. What percent did the store mark up the price?
2. Cost to store: $50. Markup: 10%. Selling price: $?
3. You are buying a new video game system. Which store should you buy the system from? (The picture)
4. A jacket costs $80. It is on sale for 35% off. What is the discount? $?
5. A suit costs $95. It is on sale for 20% off. How much are you saving? $?
6. A $120 pair of shoes is on sale for 35% off. What is the sale price? $?
7. You started making bracelets to sell to earn some money. If it costs you $2 to make each bracelet, how much should you charge for each one to make a 50% profit?
Answer:
1.400%
2. 55$
3. C
4. 28
5. 19
6. 78
7. 1$
1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.
The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant
Describing the basic characteristicsAn independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.
In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.
The main characteristics of an independent measures design are:
Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.Read more about research study at
https://brainly.com/question/13274149
#SPJ1
A car rental offers two options for renting a car. Plan A costs $200 per week plus $0.35 for each mile driven during that week. Plan B costs $180 per week plus $0.55 for each mile driven that week. How many miles of driving would result in both plans costing the same amount for that week
Answer:
100 miles
Step-by-step explanation:
Two plans are being offered for the renting of cars.
Plan A:
Cost per week = $200
Cost for each mile = $0.35
Plan B:
Cost per week = $180
Cost for each mile = $0.55
To find:
Number of miles for which the cost is same ?
Solution:
Let the number of miles driven so that the cost becomes the same = \(m\) miles
First of all, let us find the cost for each plan as per \(m\) miles.
Cost as per plan A = Cost per week + Cost for \(m\) miles = $200 + $0.35\(m\)
Cost as per plan B = Cost per week + Cost for \(m\) miles = $180 + $0.55\(m\)
Now, putting both the costs equal to find the value of \(m\):
\(200 +0.35m = 180 +0.55m\\\Rightarrow 20 = 0.20m\\\Rightarrow m = \bold{100\ miles}\)
Therefore, after 100 miles the cost from each plan will be the same.
Pls pls pls help me
Step-by-step explanation:
I hope its clear.
try finding help from others...
mine could be wrong
i^2+1=
Answer choices:
1-i
1+i
0
2
Answer:
0
Step-by-step explanation:
i^2+1
We know that i^2 = -1
-1 +1
0
Solve and graph the solution set: -15<5x-5<5
Answer: (-2,2) if not the graph then id k
Step-by-step explanation: the screenshot is for the graph
help please!!!!!!!! I keep subtracting them but it keeps saying they are not right
Answer: 9
Step-by-step explanation: 49+9=58
Find the number which when added to its square equals 12.
The number which when added to it's square, numerically n² + n = 12 is 3.
What is a numerical form?Statements that are written in form of numbers, variables and their operations called as numerical form or numerical expression.
Given a number when added to it's square equals 12.
Let the number be 'n' and this statement in numerical form can be written as n² + n = 12.
Now, this is a quadratic equation and the roots must be our required answer.
n² + n = 12.
n² + n - 12 = 0.
Now, two number that multiplied is -12 and when added is 1 they are 4 and -3.
∴ n² + 4n -3n -12 = 0.
n(n + 4) -3(n + 4) = 0.
n + 4 = 0 OR n - 3 = 0.
n = -4 OR n = 3.
Here 3 is the valid option as the question states 'added' if we put (-4) we have to subtract to get 12.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ1
What is sine in geometry for a right triangle
Answer:
The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.
In which quadrant is the number -14 - 5i located on the complex plane? a) First quadrant b) Second quadrant c) Third quadrant d) Fourth quadrant
The number \(-14 - 5i\) is located in the third quadrant.
The complex plane is a coordinate system in which complex numbers are represented by points, with the real part of the number corresponding to the horizontal axis and the imaginary part corresponding to the vertical axis. Quadrants in the complex plane are similar to those in the Cartesian coordinate system, with the first quadrant consisting of positive real and imaginary parts, the second quadrant having negative real parts and positive imaginary parts, the third quadrant having negative real and imaginary parts, and the fourth quadrant having positive real parts and negative imaginary parts.
The number \(-14 - 5i\) has a negative real part (\(-14\)) and a negative imaginary part (\(-5i\)). According to the properties of quadrants in the complex plane, this number is located in the third quadrant, where both the real and imaginary parts are negative. Therefore, the correct answer is c) Third quadrant.
Learn more about quadrants here:
https://brainly.com/question/30979352
#SPJ11
point P is the image of p(-2,-2) translated by 1 unit to the left and 3 units now
To find the image of point P(-2,-2) translated 1 unit to the left and 3 units down, we subtract 1 from the x-coordinate and 3 from the y-coordinate to get coordinates of P' as: (-3, -5).
How to Find the Coordinates in Translation?To translate a point to the left, we subtract from its x-coordinate, and to translate it down, we subtract from its y-coordinate.
Therefore, to translate P(-2, -2) 1 unit to the left and 3 units down, we subtract 1 from the x-coordinate and 3 from the y-coordinate to get P'(-3, -5) as the image of P after translation.
Therefore, the coordinates of P' are (-3, -5).
Learn more about translation on:
https://brainly.com/question/12861087
#SPJ1
Complete Question:
Point P' is the image of P(-2,-2) translated by 1 unit to the left and 3 units down. What are the coordinates of P'?
Please help ASAP
Which pairs of rectangles are similar polygons?
Answer:
D is the answer
Step-by-step explanation:
39 is 3 times greater than 13 and 27 is 3 times greater than 9
Find all the points in the form (1, y, z) which are equivalent
to the points (2, -1, 0) and (0, -2, 1)
The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).
To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.
Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).
Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).
Since these two vectors are equivalent, we can set them equal to each other:
(1, -1-y, -z) = (-1, -2-y, 1-z)
Simplifying this equation, we get:
y - z = 0
2y + 3z = 3
Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:
y = z
2y + 3z = 3
Solving this system of equations, we get:
y = 3/5
z = 3/5
So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).
Know more about vectors here:
https://brainly.com/question/30958460
#SPJ11
What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.
Answer:11/57
Step-by-step explanation:
Which of these choices are square roots of 100? chewhich of these choices are square roots of 100? check all that apply. ck all that apply. 100^1/2 10 -10 50 -50 -100^1/2 pleaseeeee
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
Learn more about holding period
brainly.com/question/32568151
#SPJ11
Fabiana solved a linear equation and got the result 5= 5. what does this mean? Explain your answer
A number changes from 50 to 76. What type of percent change is this? Calculate the percent change.
Answer:
there was a 56% decrease change
There is a \(\boldsymbol{52\%}\) percentage change as a number changes from \(50\) to \(76\).
Type is increase in percentage.
Define percentage.A percentage is a figure or ratio that is stated as a percentage of one hundred. The percent sign, " \(\%\) ", is frequently used to represent it.
Difference between new and old number \(=76-50\)
\(=\boldsymbol{26}\)
Percentage change \(=\frac{76-50}{50}\times 100\)
\(=\boldsymbol{52\%}\)
So, there is a \(\boldsymbol{52\%}\) increase.
Find out more information about percentage here:
https://brainly.com/question/13450942?referrer=searchResults