Answer:
[tex]x =2[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 4(y - 2)^2 = 36[/tex]
[tex]x^2 = 2y[/tex]
Required
Solve
Substitute: [tex]x^2 = 2y[/tex] in [tex]9x^2 + 4(y - 2)^2 = 36[/tex]
[tex]9*2y + 4(y-2)^2 = 36[/tex]
[tex]18y + 4(y-2)^2 = 36[/tex]
Open bracket
[tex]18y + 4[y^2-2y - 2y + 4] = 36[/tex]
[tex]18y + 4[y^2-4y + 4] = 36[/tex]
Open bracket
[tex]18y + 4y^2-16y + 16 = 36[/tex]
Collect like terms
[tex]4y^2+18y-16y + 16 - 36 = 0[/tex]
[tex]4y^2+2y-20= 0[/tex]
Divide through by 2
[tex]2y^2+y-10= 0[/tex]
Expand
[tex]2y^2+5y - 4y-10= 0[/tex]
Factorize
[tex]y(2y + 5) - 2(2y + 5) = 0[/tex]
Factor out 2y + 5
[tex](y -2)(2y + 5) = 0[/tex]
Split
[tex]y - 2 =0\ or\ 2y + 5 = 0[/tex]
Solve for y
[tex]y =2 \ or\y = -\frac{5}{2}[/tex]
We have:
[tex]x^2 = 2y[/tex]
Make x the subject
[tex]x = \sqrt{2y[/tex]
The above is true for positive y values.
So: [tex]y =2[/tex]
This gives
[tex]x = \sqrt{2*2[/tex]
[tex]x = \sqrt{4[/tex]
[tex]x =2[/tex]
$1,200 Is Invested in two different accounts paying 6% and 8% Interest. If a total of $81 Interest is earned after one year,
then how much money was Invested at 8%?
$1,200
$750
$450
$800
Answer:
It would be A
Step-by-step explanation:
-3/16,7/4, -3/8 in order least to greatest
Answer:
-3/8, -3/16, 7/4
Mr. Chen gave a history test to his class. The scores are shown below. 75 62 68 81 55 92 58 88 72 82 48 93 81 85 77 He plotted the scores as a histogram. Which histogram correctly displays the distribution of scores?
I will give brainlest if you answer correctly
I hope this helped
Since it's a cube all sizes are equal
13.5 X 13.5 x 13.5 =
2460.365 m3
Answer:
3.375m^3
Step-by-step explanation:
Given surface area
=13.5m^2
[tex]6a^{2} =13.5m^{2} \\\\a^{2} =\frac{13.5}{6} =2.25\\\\a=\sqrt{2.25}=1.5m\\\\a^{3} =(1.5)^{3} \\\\=3.375 m^{3}[/tex]
hope it helps...
have a great day!!
Find the value of x and the measure of the missing angle 66 x 40
Answer:
66x40
Step-by-step explanation:
Answer:
x= 180 - (66+40)= 74
Tell whether the question is a statistical question. Explain.
Part 1
Answers:
Statistical questionNot a statistical questionStatistical question==========================================
Explanations:
The phrasing here is a bit vague, but I think your teacher means "your" in the sense that it is directed at whoever is taking the survey and not a specific single person. If it was directed at exactly one person, and one person only, then no statistics are needed. You can simply count the number of songs on the device and that's the end of that story. However, when it comes to multiple people, statistics is used to give an idea of how the population is overall. Recall that the sample is supposed to represent the population, assuming no biases are present. I'll assume that your teacher is aiming for the more broader definition of "your" and that's why this is a statistical question. Similar reasoning will apply for problem 3.Unlike problems 1 and 3, this is not a statistical question. Why not? Because we know exactly how many feet are in 1 yard, and that will not change no matter what happens. It's simply a definition we set up earlier, and have stuck to. Having it change won't help things. Statistical questions address variables in which not only are allowed to change, but do so randomly (according to some pattern). Here we have 3 feet to a yard and no statistics are needed to address this.Similar to problem 1. I'm assuming your teacher is asking a broader audience and not exactly one single specific person. In this case, the name of the favorite movie would be considered qualitative categorical data, and also considered nominal as well. We don't have ordinal data because movies cannot be ordered or ranked, as that is subjective. I'm not considering alphabetical order. We have a statistical question here for the broader audience because the variable "favorite movie" is allowed to change, and is subject to some degree of randomness. Hence the phrasing "random variable".Answer:
multiply the length value by 3
so its 3 foot
What is the surface area of the square pyramid
Answer:
[tex]\huge \pink{ \boxed{ \sf{ \green{αηsωεя}}}} \ [/tex]
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .your answers
Factor this expression completely and then place the factors in the proper location on the grid.
904 62
Answer: 9a^4 - b^2
= (3a^2)^2 - b^2
= (3a^2 + b)(3a^2 - b) using a^2 - b^2 = (a+b)(a-b)
hope it helps.
i will give lots of points for these 4 answers
Answer:
1&3 are wrong 4 and 2 are right
Step-by-step explanation:
may i be marked brainliest
what is x+19=21 jsjwidhsnwnd
Answer:
x=2
Step-by-step explanation:
x+19=21
subtract 19 so x can be by itself, move it to the 21 side
and subtract21-19=2
Answer:
You solve. for X. The photo is the work and answer
Find the value of x!!!!
Answer:
8.54860557602668
Step-by-step explanation:
X is inversely proportional to y, and x = 18 when y = 4. find x when y is 30
Answer:
X= 2.4
Step-by-step explanation:
x = k/y............eqn1
18= k/4
k= 18×4
k= 72
Using the first equation
x= 72/30
x= 2.4
Ben in n years old chloe is twice as old as Ben Dan is 5 years younger than Ben
The total of bens age, chloes age, and Dan’s age is T years
Find a formula for T in terms of n
Answer:
T = 4n - 5
Step-by-step explanation:
Ben = n
Chloe = 2n
Dan = n - 5
n + 2n + (n - 5) = T years
3n + n - 5 = T years
4n - 5 = T years
Soo like?! How is it not 13?! What’s the answer?!
Answer:
12
Step-by-step explanation:
Have a Nice Day :)
what is the value of -3²+ (-4+7) (2)
Answer:
It’s -3
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-3^2+ (-4+7) (2)}[/tex]
[tex]\mathsf{-3^2 = \bf -9}[/tex]
[tex]\mathsf{-9+(-4+7)(2)}[/tex]
[tex]\mathsf{(-4+7)=\bf 3}[/tex]
[tex]\mathsf{-9+ (3)(2)}[/tex]
[tex]\mathsf{3(2)=\bf 6}[/tex]
[tex]\mathsf{-9+6}[/tex]
[tex]\mathsf{-9+6=\bf -3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf -3}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
6 1/4 quarts =___ pints?
Answer:12.5
Step-by-step explanation:
Answer:
12.5 pints
Step-by-step explanation:
What is the correct answer of this question
I gave 20 points
And I also mark brainlist
Answer:
(b) we learn from the students that we should also help people who are in need
Step-by-step explanation:
hope it helps ❤️
Find the 9th term of the geometric sequence 5, -25, 125, ...
9514 1404 393
Answer:
1,953,125
Step-by-step explanation:
The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...
an = a1×r^(n-1)
an = 5×(-5)^(n-1)
So, the 9th term is ...
a9 = 5×(-5)^(9-1) = 1,953,125
C. A musician had 1.2 x 102
fans at his very first show
ever played. Six years later,
84,000 people were at his
show. How many times more
people were at his most recent
show compared to the very
first show he played?
Answer:
688 people
Step-by-step explanation:
Reed has an aquarium that holds 12 gallons of
water. There are approximately 4 liters in one
gallon. Which measurement is closest to the
number of liters in Reed's aquarium?
Answer:
48
Step-by-step explanation:
12*4=48
A quadrilateral is _____ a trapezoid. (Always, sometimes, never)
Answer:
sometimes
Step-by-step explanation:
Answer:
sometimes
hope it helps.
Can somebody help me?
Answer:I cannot see photo
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
14
Answer: [tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.
Step-by-step explanation:
14²-10²=96
[tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.
Determine the intercepts of the line.
Answer:
X: 0,2
Y: -7, 0
Step-by-step explanation:
Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
is sangwoo a psychopath,sociopath or both
Answer:
both, and I didn't know other people watch the anime
Answer:
He's both lol
Step-by-step explanation:
Are the triangles similar?
This is my last assignment, pls help
16 minutes= 6 bushes trimmed
how many minutes would it take for 30 bushes to be trimmed?
Evaluate the following expression 6 ^-3
Answer:
1/216
Step-by-step explanation:
Answer:
Exact form = 1/216.
Decimal form = 0.004629
Find the volume of a box that is 2in x 4in x 3in
Answer:
fhshegshffdfsfjdegddfhgfedhdrgdddetfrdesjdhgdhdjdjdhdhdjdjejdhdhdjdjhhgwhejdjdhdsewwhehsjrhdgddjdjfhwhdddfjfhshdjjhdhdjdjffjdjshwghhjrjehwhhejjfjfjejehekwkjjhfkwkejhsekskwjdjfjjt
Step-by-step explanation:
fhjjhcnncxfgnnng