The intercepts 9x^2+4y^2=36
Answers
Answer:
Step-by-step explanation:
Related Questions
(Find the distance between each of the following complex numbers. Give your answers in simplified radical form, and show all your work.)
1.) -1+i and -3-4i
2.) 1+i and 7-2i
3.) -3+4i and -6-i
4.) -2+3i and 2-2i
5.) 3 and 5+i
6.) -4+5i and 2-i
Thank you!
Answers
Answer:
I) √29
ii) 3√5
iii) 5√5
iv) √41
v) √5
vi) 6√2
Step-by-step explanation:
1)
Given complex numbers -1+i and -3-4i
The points are ( -1 , 1) and (-3 , -4 )
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]
2)
Given complex numbers 1+i and 7-2i
The points are ( -3,4) and (-6,-1)
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]
3)
Given complex numbers -3 +4i and -6-i
The points are ( -3 ,4 ) and (-6 ,-1)
[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]
4)
Given complex numbers are -2+3i and 2-2i
The points are ( -2 ,3) and (2 , -2)
[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]
5)
Given complex numbers are 3 and 5+i
The points are( 3,0) and (5,1)
[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]
6)
Given complex numbers are -4+5i and 2-i
The points are ( -4 ,5) and ( 2,-1)
[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]
I bought apples and bananas at the store in a ratio of 3 apples to 4 bananas. If I bought 35 pieces of fruit. How many apples and bananas did I buy.
Answers
Answer:
15 apples
20 bananas
A total of 15 apples and 20 bananas has been bought.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of apples = A
Number of bananas = B
Given that,
Apples and bananas at the store in a ratio of 3 apples to 4 bananas.
So,
A/B = 3/4
And,
A + B = 35
By substitution,
4(35 - B) = 3B ⇒ B = 20
And,
A = 35 - 20 = 15
Hence "A total of 15 apples and 20 bananas has been bought".
For more about the equation,
https://brainly.com/question/10413253
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The Global Footprint Network is an organization dedicated to the advancement of environmental sustainability around the world. The organization performed a data analysis of the relationship between Ecological Footprint Consumption per Capita and human development index (HDI) by country. The Ecological Footprint Consumption per Capita represents the demand in land resources imposed by human consumption per person, measured in hectares. The Human Development Index (HDI) metric is a calculation that combines life expectancy, education, and per capita income data in order to rank countries by human development. The Ecological Footprint Consumption per Capita, HDI, and country name data for a set of countries are provided in the data file.Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI Calc Produce a scatterplot with Ecological Footprint Consumption per Capita as the response variable, y, on the vertical axis and HDI as the explanatory variable, x, on the horizontal axis. Identify the names of the countries that are outliers based on the scatterplot, starting with the most extreme outlier, followed by the second-most extreme outlier. Data:Length GRT_min98 14126 11115 27110 20120 2113 2891 1988 12.35107 15111 1490 10117 2496 7117 23117 1286 2896 979 1377 13118 4790 2784 10105 1591 1494 1886 1399 5 120 31118 1388 8.85118 18113 581 69.1797 28103 22.4111 22.75110 9.12112 7.48109 23.6789 57.25114 26.41101 1091 2197 9.48110 17.982 15.22106 21.77117 17.0599 17.93111 36.6579 23.38115 13.2296 23.3896 16.28
Answers
Answer:
i don't get this sorry but i'm going to try ok thanks
Step-by-step explanation:
The answer is 69.1797
Oscar is selling tickets to a school play. Adult tickets cost $8 and student tickets cost $7. If he collected $245 by selling 34 tickets, how many adult and student tickets did he sell?
Answers
Answer:
Adult= 7 tickets
student= 27 tickets
Step-by-step explanation:
Step one:
let adult tickets be x
and students be y
Adult tickets cost $8 and
student tickets cost $7
So
[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]
Step two:
from equation 2
x=34-y
put the value of x in equation 1
[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]
put y= 27 in equation 1
[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]
The y-intercept of 2x - y = 6 is -6.
O False
True
Answers
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
Simplify.
6² + 3²
09
O 18
O 45
081
Answers
Answer:
45
Step-by-step explanation:
6² + 3²
36 + 9
45
Follow me please
I need help with my math homework
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
m=3
Step-by-step explanation:
m= 7-1= 6
5-3= 2
then you simplify
3
m= 1 which also equals 3
I am not very good at explaining on this but i hope this helps :)
write an equation of a line that is perpendicular to given line that passes through the given point 5y+2x=-15 T(5,-5)
Answers
Step-by-step explanation:
The answer is on the bottom if you just wanna scroll down.
The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!
Answer:
y+5=5/2(x-5)
Hope this helps! (If it's wrong, plz leave sum comments. thx lol)
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answers
Answer:
12,800 Dollars USD
Step-by-step explanation:
What is the estimated product of 1.39 × 6.76?
1.39 rounds to , and 6.76 rounds to Therefore, the estimated product is . i´ll answer this on my own but feel free to answer to get points!!
Answers
Answer:
7
Step-by-step explanation:
1.39 rounds to 1
6.76 rounds to 7
1 x 7=7
Answer:
1,7,7
Step-by-step explanation:
the difference between two numbers is 9 find the numbers if their sum is 46
Answers
x - y= 9
46 - y - y= 9
46 - 2y = 9
Y=37/2
Answer:
x - y = 9
x = 9 + y (equation 1)
Their sum is 46
x + y =46
(9 + y) + y = 46
9 + 2y = 46
2y = 46 - 9
2y = 37
y = 37/2
y = 18.5 ( one number)
second number =
place the value of y in equation 1
x = 9 + 18.5
x = 27.5
The two numbers are 18.5 and 27.5
Step-by-step explanation:
Solve for x: 8x - 3 = 5(2x + 1)
Answers
Answer:
x = - 4
Step-by-step explanation:
Given
8x - 3 = 5(2x + 1) ← distribute
8x - 3 = 10x + 5 ( subtract 10x from both sides )
- 2x - 3 = 5 ( add 3 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
Answer:
x = - 4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 5 × 2x + 5 × 1
8x - 3 = 10x + 5
8x - 10x = 3 + 5
- 2x = 8
2x = - 8
x = (- 8)/2
x = - 4
Thus, The value of x is -4
-TheUnknownScientist
What is the value of | -5 | - (-5)?
Answers
The absolute value of any number is always positive
5-(-5)
When there is a in front of an expression in parentheses, change the sign of each term in the expression
5+5
Add the numbers
10
Answer=10
Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.
Answers
Answer:
12 cm
Step-by-step explanation:
Base area
14 x 7 = 98 cm²
The volume of pyramid
392= 1/3 x height x base area
Height =12 cm
answers please this is very hard :))
Answers
Answer:
1. you dont add before you multiply
2 they didnt do the parenthesis first...which was their mistake
Step-by-step explanation:
function or not a function
Answers
Answer:
That isn't a function because the ratio of those numbers doesn't equal.
Step-by-step explanation:
Find the value of x that makes the equation true:
x + 3 = 4
Answers
Answer:
x = 1
Step-by-step explanation:
Subtract 3 from both sides
x+ 3 - 3 = 4 - 3
gives x=1
The two parallelograms below are similar.
What is the length in inches of line PQ?
A. 38 in
B. 34 in
C. 40 in
D. 14 inch
Answers
The answer is C
please help its so late here and my head not working so good
Answers
Answer:
rate of 50 cents per pound on the airline
Please Help
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answers
Answer:
The coordinates of the point P = (x, y) = (-1, 4)
Step-by-step explanation:
Let the coordinates of P be (x, y)
(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3Using the section formula
x = [(mx₂ + nx₁)] / [(m+n)]
= [5(2)+3(-6)] / [5+3]
= [10-18] / [8]
= -8/8
= -1
y = [(my₂ + ny₁)] / [(m+n)]
= [5(1)+3(9)] / [5+3]
= [5+27] / [8]
= 32/8
= 4
Therefore, the coordinates of the point P = (x, y) = (-1, 4)
What is the equation for the line in slope-intercept form?
Answers
Answer:
y = 8x
Step-by-step explanation:
I believe counting up from the origin to the last point gives a slope of 8/1 which there wouldn't be a y-intercept in the equation.
Marsha has 3 rugs. the first rug is 2 meters 87 centimeters long. the second rug has a length 98 centimeters less than the the first. the third rug is 111 centimeters longer than the second rug. what is the difference in centimeters between the length of the first rug and the third?
Answers
Answer:
13 cm
Step-by-step explanation:
rug 1= 2.87 meters or 287 cm
rug 2= 287-98 or 189 cm
rug 3= 189+111 or 300 cm or 3m
300-287=13cm or 0.13m
Please help w/ all and leave a small explanation please! :)
Answers
First, you have to find the slope.
As x increases by 3, y increases by 6 so the slope is rise/run so it would be 6/3 and simplify so it’s gonna be 2.
b of the y=ax+b is y-int so it’s a y value when x is 0 so in this case, 6.
B: y=-2x+8
First, you have to find the slope.
As x increases by 2, y decreases by 4 so the slope would be -4/2 and simplify so it’s gonna be -2.
b is equal to the y-value when x is 0 so in this case, 8.
C: y=3x+4
First, you have to find the slope.
As x increases by 2, y increase by 6 so the slope would be 6/2 and simplify so it’s gonna be 3.
When u solve for b, first, at this point, you have the equation y=3x+b so you’re gonna plug in random point into it so for ex, 2 for x and 10 for y(as it shows on table) and you can get 4.
D: y=-1/2x+6
First, you have to find the slope.
As x increases by 4, y decreases by 2 so the slope would be -2/4 and simplify so it’s gonna be -1/2.
When u solve for b, first, at this point, you have the equation y=-1/2x+b so you’re gonna plug in random point into it so for ex, 8 for x and 2 for y(as it shows on table) and you can get 6.
Multiply. Write in simplest form. 2 1/2 x 1 1/2
Answers
Answer:
3.75 or 3 3/4
Step-by-step explanation:
Answer:
3.75 or 3 3/4
Step-by-step explanation:
2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75
Hope it helps!
czi-txdf-gmj Aao sabhi
Answers
Answer:
hiii
Step-by-step explanation:
my name is arushi(aru)
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
Find the value of x.
Group of answer choices
77
34
69
146
Answers
Answer:
69
Step-by-step explanation:
Use the 3x-2 and take it out
I need help Brian listed if u awnser! right now!
Answers
if he is 1/3 from school, then the total distance he has to walk is 3 times more than what he has walked
how do I work this out
Answers
Answer:
2.21073919x10^23
Step-by-step explanation:
Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
Answer:
6³⁰
__________________________________________________________
We are given the expression:
[tex]\frac{(6^{-4})^{-9}}{6^{6}}[/tex]
Simplifying the expression
We can multiply the 2 exponents on the numerator to get:
[tex]\frac{6^{36}}{6^{6}}[/tex]
We can switch the sign of the exponent on the denominator to get it's reciprocal
[tex]{6^{36}}*6^{-6}[/tex]
Since the bases are the same, adding the powers
[tex]{6^{36-6}}[/tex]
[tex]{6^{30}}[/tex]
Hence, the given expression can be simplified to 6³⁰
I can’t find the answer please help
Answers
Answer: A
Step-by-step explanation:
81 - 1 1/5x [tex]\leq[/tex] 55 The first thing you could do is convert the mixed fraction into an improper fraction.
1 1/5 to an improper fraction is -6/5
Now rewrite the inequality as,
81 - 6/5x [tex]\leq[/tex] 55 Subtract 81 from both sides
-81 -81
-6/5x [tex]\leq[/tex] -26 Multiply both sides of the inequality by 5
-6x [tex]\leq[/tex] -130 Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.
x ≥ 130/6 Convert 130/6 to a mixed fraction
x ≥ 21 2/3
The table below shows the cost of comic books.
Number of comic books, 3, 4, 7, 10, Total cost, in dollars, 3.75, 5, 8.75, 12.50.
Based on the information in the table, which is the best prediction of the cost of 12 comic books?
$12
$9.60
$15
$16.25