How to find the point of intersections on these equations? (x+6)^2 =-12 (y+2) x^2/81 + y^2/100 =1

Answers

Answer 1

Answer:

Graphically.

Step-by-step explanation:

We have the equations:

(x + 6)^2 = -12*(y + 2)

(x^2/81) + (y^2/100) = 1

First, we can see that the second one is an ellipse, and we can write it as:

(x/9)^2 + (y/10)^2 = 1

This adds some complexity to our problem.

The first equation is just a quadratic equation, that we can write in standard form as:

y = (x^2 + 12*x + 36)/(-12) - 2

y = (-1/12)*x^2 - x - 5

Then our two equations are:

(x/9)^2 + (y/10)^2 = 1

y = (-1/12)*x^2 - x - 5

This is actually really hard to solve analytically, we may end with a quartic equation or something like that (this happens for the nature of the ellipse equation)

So now that we have two rather simple equations that we know how to graph (or that we can just input the equations in a program and graph them) we can find the intersections visually.

You can see the graph of this below:

Of course, this only works to find estimations for the intersections, where one intersection is (3.35, -9.28) and the other is at (-8.69, -2.6)

How To Find The Point Of Intersections On These Equations? (x+6)^2 =-12 (y+2) X^2/81 + Y^2/100 =1

Related Questions

The average number of mosquitos caught in 36 mosquito traps was 800 per trap. The standard deviation is 100 mosquitos. What is the 99% confidence level for the true mean

Answers

Answer:

uh i think it's 25%

Step-by-step explanation:

Find the GCF for the list.
−15x^3 , 6x^4

Answers

Answer:

the GCF is 3x^3

Step-by-step explanation:

Identifying the greatest common factor of an expression like this one involves finding the GCF of each term  when the terms are placed side by side:  the GCF of -15x^3 and 6x^4 is 3x^3, because 3 and x^3 are the largest factors of their type (constant, power of x) that will divide evenly into -15x^3 and 6x^4.

The end result is 3x^3(-5, 2x).  Once again, the GCF is 3x^3.

All right so i need someone to walkthrough the way to do this cause i'm lost. please do it step by step! Thanks!

Answers

Step-by-step explanation:

Hey there! Your answer :-

The skeletal formula of a quadratic equation is :-

[tex]\sf{ax^2 + bx + c}[/tex]

According to this question, we have :-

[tex]\sf{3x^2 + 8x + 4}[/tex]

So, the answers :-

a = 3b = 8c = 4

Hope it helps :) Best of luck for your future!

The model represents an equation


Solve for X

Answers

Answer:

5*(-8)

Step-by-step explanation:

Can you please Solve this and please show you work.
-4x+1=21

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-4x + 1 = 21}[/tex]

[tex]\large\text{SUBTRACT 1 to BOTH SIDES}[/tex]

[tex]\large\textsf{-4x + 1 - 1 = 21 - 1}[/tex]

[tex]\large\text{CANCEL out: 1 - 1 because that gives you 0 }[/tex]

[tex]\large\text{KEEP: 21 - 1 because that helps solve for x}[/tex]

[tex]\large\text{21 - 1 = \bf 20}[/tex]

[tex]\large\text{New equation: \textsf{ -4x = 20}}[/tex]

[tex]\large\text{DIVIDE -4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-4x}{-4}=\dfrac{20}{-4}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{-4}{-4}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{20}{-4}}\large\text{ because it gives you the value of x}[/tex]

[tex]\mathsf{x = \dfrac{20}{-4}}[/tex]

[tex]\mathsf{\dfrac{20}{-4}= 20\div -4=\bf -5}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf x = -5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP please will give brainiest!! No robots please,
Find the slope and the y-intercept of the graph of the linear equation.

Answers

Answer:

Slope is -4/5

Y-intercept is -2

Step-by-step explanation:

use equation y=mx+b

Given the area of a trapezoid is 86 in’, and the height is 4 in. If one base is 18 in, determine the other base.

Answers

Answer:

25 = base

Step-by-step explanation:

I searched all of this on YT to try and help

so first we need to know the area of a Trapezoid

A = 1/2h(b + b)

86 = 1/2(18 + b)4

we dont know the base where going to put b

we also dont like fractions so where going to get rid of 2 by multiplying 2 by 2. And we do it in both ends, so where doing the same with our Area.

172 = (18 + b)4

the 4 is multipling so divide it on both ends.

43 = (18 + b)

then do the opposite operation on the 18, by subtracting 18 on both sides.

25 = b

is the base

check the work by plugging it back in

A = 1/2h(b + b)

A = 1/2 4(18+25)

A = 1/2 4(43)

A = 1/2(172)

A = 86in

Explain how to find the surface area of a rectangular prism.

Answers

Answer:

To find the surface area of a rectangular prism you must multiple the length and the width. You can choose the top and do 2(L*W) and one of the square sides 2(L*W) and the front 2(L*W) and add it all up.

2(L*W)+2(L*W)+2(L*W)= surface area

There is a 2 because there are two side of a rectangular that are the same. Since there are 6 sides on a rectangle. Only 3 pairs are similar.

Hope this helps :)

A family wants to rent a car to go on vacation. Company A charges ​$70.50 and 18¢ per mile. Company B charges ​$40.50 and 10¢ per mile. How much more does Company A charge for x miles than Company B​?

Answers

Answer:

add them together

Step-by-step explanation:

A square has side lengths of 9, which of the following is a correct formula for finding the area of a square? Select all that apply. i will give u brainlist

Answers

9^2 because area is l*w and a square has all same side lengths

what the other person said. 9^2

Find each of the following angles and arcs formed in circle R. (PLEASE HELP!! WILL MARK BRAINLIEST!)

Answers

Answer:

m<RTV = 90°

m<TRU = 129°

m<TVU = 51°

m<TSU = 64.5°

mST = 101°

mSTU = 230°

Step-by-step explanation:

i just did it:)

The measure of each angles are; m<RTV = 90°, m<TRU = 129°, m<TVU = 51°, m<TSU = 64.5°, mST = 101° and mSTU = 230°.

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Since Angle RTV is formed by the segments RT - that is the radius of the circle, and TV, which is tangent to the circle at point T. The radius always forms a right angle with the tangent lines.

Hence, the measure of angle RTV is; 90°.

The measure of a central angle and the measure of the intercepted arc would be equal. Hence, the measure of angle TRU is 129°.

Since RTVU is a quadrilateral. We know that 3 of the interior angles' measures are 90°, 90°, and 129°. The measures of the interior angles of any quadrilateral add up to 360°, the measure of angle TVU is 51°.

Thus the measure of angle TSU is 64.5°.

Also the sum of all consecutive arcs in a circle is 360°,

We know that mTU = 129° and mUS = 130° then the measure of arc ST is 101°.

Learn more about circle here;

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What is the volume of a hemisphere with a diameter of 8.6 ft, rounded to the nearest tenth of a cubic foot?

Answers

Answer:

166.52 cubic feet.

Step-by-step explanation:

We can Know the volume of a by using the expression below

V =[ (4/3)πr^3] .............eqn(1)

Given Diameter= 8.6 ft

radius= Diameter/ 2 = (8.6 ft)/2 = 4.3 ft

Eqn(1) gives the formula for volume of a WHOLE sphere, but what we need is

HALF of whole sphere, then we have

V =[ (4/3)πr^3] / 2

Then eqn(1) becomes [ (2/3)πr^3]

Volume of hemisphere

= [ (2/3)πr^3].....eqn(2)

If we substitute into eqn(2) we have

Radius= 4.3 ft

V(hemisphere) = (2/3)π(4.3)^3

= 166.52 cubic feet.

Hence, the volume of a hemisphere is

166.52 cubic feet.

Write three to four sentences explaining how the structures rosa parks uses in her memoir help her share her past experience

Answers

Parks wants to share her point of view about a challenging time in history. ... She also uses chronological structures to explain the order of events that she narrates in MY STORY. Her memoir let's her share her first-person perspective in a way that other types of narration cannot.

Puzzle Three
You are starting a savings account for college. You put
$1,000 in as your starting balance. You can simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.
10% Overall 30% Tax Overall
Interest Balance
Balance
after taxes
Year 1
Year 2
Year 3
Year 4
Year 5

Answers

Answer:

I think its Balance.

Step-by-step explanation:

Shana picked 18 apples, which was three-quarters of what Nancy picked. Let n be the number
of apples Nancy picked. Write an equation involving n and solve it to find the number of
apples that Nancy picked.

Answers

Answer:

Step-by-step explanation:

3/4n=18

n=24

A mixture contains 3.7 × 10–6 grams of carbon powder and 0.000092 grams of ammonium carbonate.

What is the difference in the amounts of carbon powder and ammonium carbonate?

Answers

Answer:

The difference in the amounts of carbon powder and ammonium carbonate is [tex]88.3\times 10^{-6}[/tex] grams.

Step-by-step explanation:

According to this statement, we have a mixture with [tex]3.7\times 10^{-6}[/tex] grams of carbon powder and [tex]92\times 10^{-6}[/tex] grams of ammonium carbonate. The difference between those amounts consist in subtracting the latter quantity for the former one. That is:

[tex]\Delta m = 92\times 10^{-6}\,g \,-\,3.7\times 10^{-6}\,g[/tex]

[tex]\Delta m = 88.3\times 10^{-6}\,g[/tex]

The difference in the amounts of carbon powder and ammonium carbonate is [tex]88.3\times 10^{-6}[/tex] grams.

PLEASE SOMEONE HELP ME!!!

Answers

The correct answer is 120

Mariah will deposit $1,530 in an account that earns 6% simple interest every year. Her
sister Isabel will deposit $1,500 in an account that earns 8% interest compounded
annually. The deposits will be made on the same day, and no additional money will be
deposited or withdrawn from the accounts. Which statement about the balances of
Mariah's account and Isabel account at the end of the 3 years is true?

Answers

Answer:

After 3 years Mariah will have $1,805.40 while her sister Isabel will have $1,889.56.

Step-by-step explanation:

Since Mariah will deposit $ 1,530 in an account that earns 6% simple interest every year, while her sister Isabel will deposit $ 1,500 in an account that earns 8% interest compounded annually, and the deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts, to determine the balances of Mariah's account and Isabel account at the end of the 3 years the following calculations must be performed:

Mariah:

1,530 + ((1,530 x 0.06) x 3) = X

1,530 + (91.8 x 3) = X

1,530 + 275.4 = X

1,805.4 = X

Isabel:

1,500 x (1 + 0.08 / 1) ^ 3x1 = X

1,500 x 1.08 ^ 3 = X

1,500 x 1,259712 = X

1,889.568 = X

Therefore, after 3 years Mariah will have $ 1,805.40 while her sister Isabel will have $ 1,889.56.

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

I am sorry but I do not understand it =(

how do I find the value of H in: h + 4 1/2 = 7

Answers

Answer:

5/2 or 2 1/2, or 2.5

Step-by-step explanation:

We know that 4 1/2 is 4.5.

Take 4.5 to the other side.

h=2.5

By the way, can you follow me on Brainly?

Thanks!

Answer:

5/2, or 2 1/2

Step-by-step explanation:

To find the value of h you want to get h by itself, so you must subtract 4 1/2 from both sides of the equation. 4 1/2 can be rewritten as 9/2, but you must find a common denominator between 7 and 9/2. A common denominator can be 2, if 7 is changed into 14/2. The equation is now 14/2 - 9/2, which gives you 5/2 or 2 1/2.

Find the x-intercept and
the y-intercept from the
following linear equation:
9x + 3y = 27

Answers

Answer:

x-intercept: (3,0)

y-intercept: (0,9)

Answer:

(3,0) (0,9)

Step-by-step explanation:

To find the x-intercept, y must equal 0

9x+3(0)=27 substitute

9x=27 divide

x=3 (3,0)

To find the y-intercept, x must equal 0

9(0)+3y=27 substitute

3y=27 divide

y=9 (0,9)

Find the range of the relation.
O {-4,4}
O {-4, -2, 0, 2,4}
O {-7, -4,-1, 2,5)
O {-7. -4, -2, -1, 0, 2, 4, 5)

Answers

d the last option ......

PLEASE HELP LAST ONE

Answers

Answer:

H=22.5 in

The answer is A

Step-by-step explanation:

Sin(60)=h/26 where h is the height we are interested in

Multiply both side by 26

26*Sin(60) = H

H=22.5 in

the answer is A

John is flying a kite at an angle of 65 degrees with the ground. If the kite's height is 70 feet
off the ground, how long is the string?

Answers

Answer:

77 feet

Step-by-step explanation:

Gretta wrapped 15 presents every 20 hours. At that rate, how long, in hours, will it take to wrap 18 presents? label optional​

Answers

Answer:

[tex]15 \: presents = 20 \: hours \\ 18 \: presents = ( \frac{18}{15} \times 20) \: hours \\ = 24 \: hours[/tex]

Time required to wrap 1 present

20/154/3h

Tkme to wrap 18 present

18(4/3)6(4)24h

Click on the phrase (s) that describe a nonlinear function.Kathy is planning to move to a different state next month. She finds out that the truck rental cost $50 plus $1 per mile she travels.The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box. Lastly, she calculates the cost of staying 3 nights at a hotel if it cost $105 per night during the trip.

Answers

Answer:

The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box

Step-by-step explanation:

Linear functions those relation which produces a straight line graph while non - linear functios produces curves or other shapes asides a straight line. Non linear functios could be quadratic, Exponential or so on in nature.

Equation of a linear equation include :

y = a + bx OR

y = bx

First expression :

y = $50 + x ;

slope, b = 1 ; intercept, a = 50

Third expression :

y(x) = 105x

Second expression:

V(x) = V0 * e^2x

Second expression is exponential while the first and third is linear.

Dexter ran 5 miles as part of his training. How many yards did he run?

Answers

Answer:

8800 yards

Step-by-step explanation:

The total number of yards ran by Dexter for his training is given by the equation A = 8800 yards

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the total number of yards ran by Dexter be A

Now , the total number of miles ran by Dexter = 5 miles

where from the unit conversion ,

1 mile = 1760 yards

So , the total number of yards ran by Dexter for his training A = 5 x 1760

The total number of yards ran by Dexter for his training A = 8800 yards

Hence , the number of yards is 8800 yards

To learn more about unit conversion click :

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Convert the following equation into
slope-intercept form.
x + y = -1

Answers

Answer:

y=-x-1

Step-by-step explanation:

Answer:

y = - x - 1

Step-by-step explanation:

move x over and it becomes negative

please hurry. only answer if you know the answer. thank you! <3

Answers

Answer: 8/17

Step-by-step explanation:

sohcahtoa

Sin= Opposite/Hypotenuse

Cosine= Adjacent/Hypotenuse

Tan= Opposite/Adjacent

8 is the adjacent, 17 is the hypotenuse

hey peeps i'll give you a brainliest & 25 pts for these answers plss help a dum b b out <333

Answers

you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x

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