4x2 +9y2 = 72
x - y2 = -1
Select all of the following that are solutions to the system shown.
Solve?

Answers

Answer 1

Answer:

       [tex]\bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}[/tex]

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]


Related Questions

c) What are zeros of f(x) = 3x2 - 12x - 36

Answers

Answer:

Zeros Calculator. The zeros of a polynomial equation are the solutions of the function f(x) = 0. A value of x that makes the equation equal to 0 is termed as zeros. It can also be said as the roots of the polynomial equation. Find the zeros of an equation using this calculator.

Step-by-step explanation:

Please mark me the brainiest if I got it right

If it’s to the power of two, they’ll be -2 and 6 . Try entering the equation in Desmos! It’s really helpful!

a) Si el área de uno de los rectángulos
es de 156 cm2, ¿Cuáles son sus
dimensiones?

Answers

Answer:

El problema parece incompleto, asi que lo respondere en una forma general.

Sabemos que para un rectángulo de largo L y ancho W, el área se calcula como:

A = L*W

En este caso, sabemos que el área del rectángulo es:

A = 156cm^2

Entonces tenemos:

156cm^2 = L*W

No tenemos más información del rectángulo, entonces solo podemos llegar a algo como:

L = (156cm^2)/W

Que nos habla de la relación entre el largo y el ancho del rectángulo.

What terms of this expression -3x + 2y - 6 +13x - 6y


helppppp​

Answers

Answer:

10x-4y-6

Step-by-step explanation:

-3x+2y-6+13x-6y

-3x+13x+2y-6y-6

10x-4y-6

It takes a word processor 33 minutes to word process and spell check 6 pages. Find how long it takes her to word process and spell check 26 pages.

Answers

Answer:

it would take them 143 minutes

4. Evaluate f(x) = - 9x + 8 at the given value. f(1)=?

Answers

Answer:

-1

Step-by-step explanation:

f(x) = - 9x + 8

f(1) = - 9*1 + 8 = -1

Answer: -1

Step-by-step explanation:

f(1) = -9(1) + 8

f(1) = -9 + 8

f(1) = -1

answer this its about the 8 side shapee

Answers

Answer:

A = 42 - 80 B = 40 - 112

Step-by-step explanation:

I can answer Both A & B for you however C & D aren't very clear.

A:

Perimeter = 42cm

Area = 80cm Cubed

B:

Perimeter = 40cm

Area = 112cm Cubed

Calculations

In Question A, you are given all the measurements for the perimeter except, which is the line at the bottom. If we take what we already have been given.

10 + 8 + 4 + 4 + 3

We have 3 sides currently without a measurement, The Right side of the shape is 8, therefore the left must be the same, so that measurement is 8.

The small line creating the indent inside the shape must be 2, as we know the line at the top = 10cm. The line opposite it is must be 3 as the one opposite is 3cm.

Factoring those into our calculation:

10 + 8 + 8 + 4 + 4 + 3 + 3 + 2 = 42cm (Perimeter)

To find the Area you multiply the Height of the shape by the width.

Height = 8

Width = 10

8 x 10 = [tex]80cm^{2}[/tex] (Area)

In Question B, you are given all the measurements for the perimeter, so you would simply add them up again.

14 + 10 + 8 + 2 + 6 = 40cm (Perimeter)

To Calculate the Area as previously said you would multiply the width by height.

Height = 8cm

Width = 14

14 x 8 = [tex]112cm^{2}[/tex] (Area)

Hope this helps :)

is 144 a non real number yes or no

Answers

Answer:

No

Step-by-step explanation:

It is not a non-real number, as it it is a real number. Real numbers are any numbers that can exist, and the only imaginary(non-real) numbers are the square roots of negative numbers.

Meredith is a very consistent bowler. Her most recent scores are expressed in the following stem-and-leaf plot.



What is the median of her scores?

117
119
122
121

Answers

Answer:

119

explained:  you would have to take all the numbers and line them from greatest to smallest, for example 100,103,103,105,106,112,115,106,112,115,117,121,122,122,128,129,141,141,141

and since your median is your middle number, and you have an even set of numbers that means you will have two medians 117 and 121. You add them up and divide by two which equals 119.

Hope this helps!

Answer:

119

Step-by-step explanation:

Yay I am brainly kid

Nail-polish is on sale for $7 what is the price for 1 nail- polish

Answers

Answer:

unkown answer not correct evidence.

Step-by-step explanation:

Answer:

The price for 1 nail polish is $2.35

Step-by-step explanation:

Its correct I took the test.

6596
Find the gradients of lines A and B.
y
B
A
NO
4
3
2
1
-B-2-19
2 3 4 5 6 7 X
2
3

Answers

Answer:

formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Step-by-step explanation:

choose two point of A, let k(-2, -3) and l(1, 3)

[tex] m = \frac{ - 3 - 3}{ - 2 - 1} = \frac{ - 6}{ - 3} = \frac{1}{2} [/tex]

choose two point of B, let c(0, 5) and d(5, 0)

[tex]m = \frac{5 - 0}{0 - 5} = \frac{5}{ - 5} = - 1[/tex]

Hence the gradient of A is

[tex] \frac{1}{2} [/tex]

and B is -1

write 5/6 as a decimal

Answers

Answer:

0.83333333

Step-by-step explanation:

Is that what you wanted?

look it upppppppp B))

i need help i don understand i got b but it said it was wrong .

Answers

Answer:

b is 135 and c is 45.................thanks

Answer:

[tex]b=135\\c=45[/tex]

Step-by-step explanation:

The angle that measures 135 degrees and angle b are opposite angles. Opposite angles are congruent. Therefore, angle b=135.

[tex]b=135[/tex]

A straight line has an angle measure of 180 degrees. This means that 135+c would equal 180 degrees.

[tex]135+c=180[/tex]

Subtract both sides by 135

[tex]135+c-135=180-135\\c=45[/tex]

I hope this helps!

Why is 3/10 + 4/10 not equivalent to 9/10 - 3/10

Answers

Answer:

The first equals 7/10 while the other equals 6/10

Step-by-step explanation:

That's the answer

.

.

.

.

C
56 cm
33 cm
What is the length of the hypotenuse?
C =
centimeters
Suboth

Answers

Answer:

Step-by-step explanation:

a paper balloon costs php7.50 what is the cost if i buy 6balloons?​

Answers

Answer:

45

Step-by-step explanation:

A waitress worked 5 hours at the pizzeria and earned $63.25. How much would the waitress expect to earn in 8 hours

Answers

Answer:

101.2

Step-by-step explanation:

If you divide 63.25 by 5, you get 12.65

which is how many you get each hour.

If it were 8 hours, that means it would be 101.2

Answer:

101,2

12,65 for hour

Step-by-step explanation:

Thats the answer

PLEASE HELP!! (20 points)
Find the measure of the missing angle

Answers

I got 52 for the answer!

الأولى متوسط
و کدد
الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
3615
ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
50 اة ووصلوا إلى مدينة جاية لياخوران
»
) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the​

Answers

yep yep yep yep yep yep

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info

Find the value of x. Round your answer to the nearest tenth.

Answers

Encuentra el valor de x. Redondea tu respuesta a la décima más cercana.

what is the simplified form of the expression 0.2 (3x-3y)?​

Answers

Answer:

0.6x - 0.6y.

Step-by-step explanation:

0.2 (3x - 3y)

= 0.2*3x - 0.2*3y

= 0.6x - 0.6y.


Probably really annoying well please please please please please please help me

Answers

Answer:

What are the top 2 angle measures? i need it to answer.

a=80 (assuming the other 2 angle in that triangle are 55 and 45)

b=80 adjacent angles are equal

c=48

What is this answer?

Answers

Answer:

I'm pretty sure it's the last one

C. Is the answer for the question you’re asking.

whats is the cost of electricity to run personal computer

Answers

Answer: Desktop computers can cost anywhere from $300-$4,000 depending on how good it's inside components are. The average computer might go for around $400. For more advanced computers the price might be $1,000 or more. All in all, the cost of a computer / PC truly depends on how much power you're needing from it.

Step-by-step explanation:

Srry its kinda confusing but I hope it helped

Answer:

We estimate that an average modern desktop PC will use approximately 100 watts of power, not including the display screen. Click calculate to find the energy consumption of a desktop computer using 100 Watts for 6 hours a day  with $0.10 per kWh

Step-by-step explanation:

what value of w makes the equation below true



please I need help ​

Answers

Answer:

w= -11

Step-by-step explanation:

7w - 3w = 2(3w + 11)

4w = 6w + 22

4w - 6w = 22

-2w = 22

w = 22/-2

w = -11

Find the 8th term of the geometric sequence 4, -12,36,...

Answers

-8748 is your answer

Please help me ................

Answers

Answer:

hello

Step-by-step explanation:

-3-1=-4

becouse 3+1=4 and we add minus -

have anice day bye

Answer:

-4

Step-by-step explanation:

Since the first number is a negative integer and its deducting with a negative, it gives a much more negative number. It's basically the same thing as the normal addition you learned in 1st grade, but it's negative instead.

15x+23+6-8x ? what is the answer

Answers

Answer:

7x+29

Step-by-step explanation:

Is 16x2 - 16x + 4 a perfect square?

Answers

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

3a≥ -6
solve for a
PLEASE

Answers

Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )

Give the ordered pairs for the points lableled on the graph​

Answers

A= 3,3
B= -6,5
Explanation: look at the X and then they Y where the dot is

Answer:

A (3,3) B (6,5)

Step-by-step explanation:

You take the x chordinate and put it next to the y chordinate for each point.

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