Answer:
[tex]\sqrt{x^2+y^2+1}=18[/tex]
Step-by-step explanation:
We are given:
[tex]x^2=18x+y\qquad\qquad[1][/tex]
[tex]y^2=18y+x\qquad\qquad[2][/tex]
Subtracting [1] and [2]:
[tex]x^2-y^2=18x+y-(18y+x)[/tex]
Operating:
[tex]x^2-y^2=18x+y-18y-x[/tex]
Recall:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
Substituting:
[tex](x-y)(x+y)=18x+y-18y-x[/tex]
Rearranging:
[tex](x-y)(x+y)=18x-18y-(x-y)[/tex]
[tex](x-y)(x+y)=18(x-y)-(x-y)[/tex]
Dividing by x-y (recall x≠y):
[tex]x+y=18-1=17[/tex]
[tex]x+y=17\qquad[3][/tex]
Now we add [1] and [2]:
[tex]x^2+y^2=18x+y+18y+x[/tex]
Rearranging:
[tex]x^2+y^2=18x+18y+x+y[/tex]
[tex]x^2+y^2=18(x+y)+(x+y)[/tex]
[tex]x^2+y^2=19(x+y)[/tex]
Substituting from [3]
[tex]x^2+y^2=19*17=323[/tex]
Adding 1:
[tex]x^2+y^2+1=324[/tex]
Taking the square root:
[tex]\sqrt{x^2+y^2+1}=\sqrt{324}=18[/tex]
Thus:
[tex]\mathbf{\sqrt{x^2+y^2+1}=18}[/tex]
Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back
Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
What is the slope of the line?
Whose puppy weighed the most when the person got it? How much did it weigh? Part c
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.
Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.
Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?
Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?
Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?
Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?
Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?
Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?
Answer:
A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).
B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius
C. 4 degrees celsius
D. 39 degrees fahrenheit
E. Isla Hoste in august
F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.
Step-by-step explanation:
Hope this helps OwO
a) The average high and low temperatures are -8°C and -27°C. b) The average high and low temperatures are 13°C and 7°C. c) The average net change in temperature is -19°C. d) The average net change in temperature is 6°C. e) Nuuk in January experiences a larger absolute change. f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
Part A
The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.
Part B
The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.
Part C
The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.
Part D
The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.
Part E
Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.
Part F
The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
To learn more about average here:
https://brainly.com/question/24057012
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15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answer:
16 17
Step-by-step explanation:
A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360
Answer:
D
Step-by-step explanation:
We know that every second the bird's position lowers by 3(-3) so the equation for it is option D
Answer:
its A i got got right on my test
Step-by-step explanation:
A.P.E.X.
The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?
Answer:
k = 0.25t^2
Step-by-step explanation:
Given the equation :
b = 0.25t
b = number of inches that has burned away
t = time
From our knowledge of variation;
Since candle length will decrease with time ;
b α 1/ t
b = k/t
Where k is the proportionality constant
Comparing the equation :
b = 0.25t
k/t = 0.25t
k = 0.25t^2
Can someone help me?
Answer:
sorry bruv wish you the best i will pray for you
Step-by-step explanation:
What is the image of the point (2,3) after the transformation Ry-axis?
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20
Answer:
x=-2, 2.
Step-by-step explanation:
5x^2-20=0
factor out the 5
5(x^2-4)=0
5(x+2)(x-2)=0
(x+2)(x-2)=0/5
(x+2)(x-2)=0
x+2=0, x-2=0
x=0-2=-2,
x=0+2=2.
Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
This means that they are equivalent to each other.
10 = 30 *Multiply by 3
2 = x
Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.
x = 6
Answer:
Hi
the answer would be:
10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6
I hope that it's correct.
Step-by-step explanation:
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
what is the slope intercept form of a linear function
Answer:
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.
Step-by-step explanation: I hope this helps
Answer:
y=mx + b
Step-by-step explanation:
In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right
8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form
Answer:
60%
Step-by-step explanation:
add them all to 20
add 7 and 5 to get 12
12 over 20 is 60 percent
Pls help
Identify the domain of the function shown in the graph.
A. -7
B. x<0
C. x is all real numbers.
D. Y=15
Answer:
B.x<0 cs u useing easy steps
Somebody Please solve this question without using L Hospital rule.
Evaluate if:
Answer:
1/2
Step-by-step explanation:
Given that,
[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]
Using L Hospital's rule to find it :
[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]
We have,
a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]
[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]
[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]
From equation (1) and (2) :
[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]
So, the value of the given function is 1/2.
Please help me circles.....
Answer:
95
Step-by-step explanation:
The equation is
x×2=285-x
3x=285
x=95
Answer:
x = 75°
Step-by-step explanation:
There are many Circle Geometry Rules. We will be using the following:
The angle at the centre of the circle is twice the angle at the circumference.
x = the angle opposite 285 - x.
This means that 360 - (285 - x) = 2x
360 - 285 + x = 2x
75 + x = 2x
We can simplify this by taking away x from both sides.
75 = x
We can check this by substituting x into the orginal equation.
360 - (285 - x) = 2x
360 - (285 - 75) = 2 * 75
360 - 210 = 2 * 75
150 = 2*75
150 = 150
At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning
Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.
Step-by-step explanation:
This hurts my brain cells help me
find the sum:
13,16,19,...301
thanks!
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there per teacher?
A. 18 students per teacher
B. 22 students per teacher
C. 24 students per teacher
D. 16 students per teacher
Need help please thanks
Answer:
Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!
Step-by-step explanation:
Hope I helped! :)
PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.
Answer:
x = 1.73
y = 2.45
z = 1.41
Step-by-step explanation:
1/z = z/2
z^2 = 2
z = sqrt(2)
1^2 + z^2 = x^2
1 + 2 = x^2
x^2 = 3
x = sqrt(3)
z^2 + 2^2 = y^2
2 + 4 = y^2
y^2 = 6
y = sqrt(6)
x = 1.73
y = 2.45
z = 1.41
Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive
Answer: Dried apricots are less expensive they are $8.75
Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive
The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.
find the exact perimeter of square whose side length is 5∛16 cm
Answer:
P = 50.39 cm
Step-by-step explanation:
It is given that,
The side of a square, a = 5∛16 cm
We need to find the perimeter of the square.
Perimeter = sum of all sides.
All sides of a square are equal. Its perimeter is given by :
P = 4a
[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]
So, the exact perimeter of the square is 50.39 cm.
Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86
Answer:
x - 10y = -59
(+)-4x + 10y = 86
-3x = 27
x = -9
substitute x into x - 10y = -59
-9 -10y = -59
-10y = -50
y = 5
Charles a shirt that was originally priced $13 he received a $2.60 discount what percent discount did Charles receive
Answer: I Believe 15%, But I'd Double Check.
Bananas cost $0.79 a pound. Mrs. Huff bought p
pounds of bananas. She paid a total of $7.90.
Write an equation to represent the situation.
Answer:
p x 0.79 = 7.90 or 0.79 x p =7.90