Why is the x coordinate undefined in picture 1?
It's not undefined anywhere else on the circle and is only undefined when the radius is 4.1... not when the radius is 4.2 or 4.
Please write an answer that makes me understand and not just know.
Please answer, you can take your time, I'm not in a hurry.
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(I'll give brainiest)
Please be so kind and do not write nonsense in your answers! I just want an explanation... (T_T)
This is my second time posting this question. This time I spent 100 points, last time I spent 30... please answer...
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Answers
Answer:
This may be a bug in the Graph, lets sole it
(y-5)^2+(x+5)^2=4.1^2
(y-5)^2+(-9.1+5)^2=4.1^2
After Solving, Y=5
and you may use other graphing calculator such as GeoGebra, Mathwy, Photomath, it shows the answer Correctly
Answer:
Step-by-step explanation:
I am not exactly sure why it is undefined, but in my thought process below, I have noticed a trend, and it might help spark some thoughts.
(y-5)² + (x+5)² = r²
r = 4.1
x = -9.1
y = ?
If we try plugging in the known values to solve for y, then...
(y-5)² + (-9.1+5)² = 4.1²
(y-5)² + 16.81 = 16.81
(y-5)² = 0
y-5 = √0
y = 5
Now solving the equation does show that y exists, so maybe it's a domain/range problem. So let's find the domain and range.
The standard form is (x-a)² + (y-b)² = r², so since we have (y-5)² + (x+5)² = r², our (a is -5) and (b is 5) (and r is 4.1)
The domain of a circle is a-r ≤ x ≤ a+r, which gives (-5)-4.1 ≤ x ≤ (-5)+4.1
So our domain is -9.1 ≤ x ≤ -0.9
The range of a circle is b-r ≤ y ≤ b+r, which gives (5)-4.1 ≤ y ≤ (5)+4.1
So our range is 0.9 ≤ y ≤ 9.1
When x = -9.1, it is within the domain.
When y = 5, it is also within the domain.
Which means that the y value should exists.
BUT...
Here's a trend that I have noticed on desmos...
When (y-5)² + (x+5)² = r² and r = 4.1, y is undefined at the domain boundaries of -9.1 and -0.9
When (y-5)² + (x+5)² = r² and r = - 4.1, y is undefined at the domain boundaries of -9.1 and -0.9
When (y-5)² + (x+4)² = r² and r = 4.1, y is undefined at the domain boundaries of -8.1 and -0.1
When (y-4)² + (x+5)² = r² and r = 4.1, y is undefined at the domain boundaries of -9.1 and -0.9
When (y-5)² + (x+6)² = r² and r = 4.1, y is undefined at the domain boundaries of -10.1 and -1.9
When (y-6)² + (x+5)² = r² and r = 4.1, y is defined (y=6) at the domain boundaries of -9.1 and -0.9
When (y-6)² + (x+6)² = r² and r = 4.1, y is defined (y=6) at the domain boundaries of -10.1 and -1.9
When (y-6)² + (x+5)² = r² and r = 8.3, y is undefined at the domain boundaries of -13.3 and 3.3
When (y-6)² + (x+6)² = r² and r = 8.3, y is undefined at the domain boundaries of -14.3 and 2.3
I do not understand the trend despite of spending last night and today thinking about it. But Hope it helps. (If you saw me answering yesterday night, yea that's me, I ended up deleting it cuz I can't think it through, but then I thought that maybe it could help spark your thoughts, so here it is)
Related Questions
A science class has 5 girls and 7 boys in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.
Answers
We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.
P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9
Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =
Answers
Answer:
[tex]c = 5[/tex]
Step-by-step explanation:
Given
[tex]f(c) = M[/tex]
[tex]f(x) = x^2 - x + 1[/tex]
[tex]Interval: [1,8][/tex]
[tex]M = 21[/tex]
Required
Find c using Intermediate Value theorem
First, check if the value of M is within the given range:
[tex]f(x) = x^2 - x + 1[/tex]
[tex]f(1) = 1^2 - 1 + 1[/tex]
[tex]f(1) = 1[/tex]
[tex]f(x) = 8^2 - 8 + 1[/tex]
[tex]f(x) = 57[/tex]
[tex]1 \le M \le 57[/tex]
[tex]1 \le 21 \le 57[/tex]
M is within range.
Solving further:
We have:
[tex]f(c) = f(x) = M[/tex]
[tex]f(x) = 21[/tex]
Substitute 21 for f(x) in [tex]f(x) = x^2 - x + 1[/tex]
[tex]21 = x^2 - x + 1[/tex]
Express as quadratic function
[tex]x^2 - x + 1 - 21 = 0[/tex]
[tex]x^2 - x - 20 = 0[/tex]
Expand
[tex]x^2 + 4x - 5x - 20[/tex]
[tex]x(x+4)-5(x+4)=0[/tex]
[tex](x - 5)(x+4) = 0[/tex]
[tex]x - 5 = 0[/tex] or [tex]x + 4= 0[/tex]
[tex]x = 5[/tex] or [tex]x = -4[/tex]
The value of [tex]x = -4[/tex] is outside the [tex]Interval: [1,8][/tex]
So:
[tex]x = 5[/tex]
[tex]f(c) = f(x) = M[/tex]
[tex]f(c) = f(5) = 21[/tex]
By comparison:
[tex]c = 5[/tex]
Jason´s aunt gave to him some money. He could choose between 15% of
$1,500 or 25% of $1,000. Which amount is the better deal for Jason ?
por fa es urgente :((((
Answers
Answer:
25% of $1,000
Step-by-step explanation:
.15 * $1,500 = $225
.25 * $1,000 = $250
Jill drove her car for 7 days across the country. She travelled 525 miles. If she continues this pace, how many miles will she have driven after 12 days?
Answers
Answer:
900 miles
Step-by-step explanation:
In 7 days she travels 525 miles.
So, in 1 day she travels: 525 ÷ 7 = 75miles
In 12 days she will have driven : 75 × 12 = 900 miles
Step-by-step explanation:
of at 7days Jill drove 525 miles
then she would drive x Miles in 12 days
7d = 525 miles
12 d = (12 ×525)/7
900 miles
Help, will give brainiest!
Use the drop-down menu to complete the statement.
The quotient of 3 divided by 3/4 is ___
(1) 3
(2) 4
(3) 9
(4) 12
Answers
Answer:
The answer is (2) 4
Step-by-step explanation:
Give brainliest
Mrs. Rossi's vegetable garden is 11 Ft long and 8 ft wide, next to her flower garden, which is 6 ft by 5 ft. How many square feet of garden does Mrs. Rossi have in all?
Answers
Answer:
118ft²
Step-by-step explanation:
11 × 8 = 88
6 × 5 = 30
88 + 30 = 118
good luck, i hope this helps :)
PLZ HELP ME WILL MARK BRAINLIST AND 50 points IF THE ANSWER IS CORRECT!!!
Answers
Answer for the question:
It is B.
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Answers
Part A
Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]
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Explanation:
Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3
Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3
Apply the pythagorean theorem to find hypotenuse AD
[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]
This points to choice D as the final answer.
===========================================================
Part B
Answer: 7.07-----------------------------------------------
Explanation:
If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.
Since AE = 2n+5, we can solve for n like so
2n+5 = 7
2n = 7-5
2n = 2
n = 2/2
n = 1
Then we can find the length of AD
[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]
Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.
what is the total surface area of a right rectangular prism with a base of 2 cm by 3cm and a height of 6cm
Answers
Answer:
36 but im not sure
Step-by-step explanation:
ok so you would have to do A=lwh which is A=2x3x6+36
HELPP
Find the value of a.
A)3
B)4
C)6
D)9
Answers
Answer:
using
h²=p²+b²
3is your answer
a²=5²-4²
a=√9=3
I need help pls this is really hard
Answers
Please help F + g (1)
Answers
9514 1404 393
Answer:
a) -13
b) -22
Step-by-step explanation:
It can be convenient to compute the function values first:
f(1) = 1² -14·1 = -13
g(1) = 1 +8 = 9
Then the compositions are ...
(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4
(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22
Please solve this thank you :)
Answers
Answer:
Scale= 3 x=9 y=15
Step-by-step explanation:
Four friends went to eat at a restaurant. The bill came to $25.68 after tax and tip. One friend had a $5.00 off coupon that the cashier needed to take off the total bill. How much is each person to pay if they split the bill equally after the discount?
Answers
Answer:
$5.17
Step-by-step explanation:
Take 25.68 and subtract the $5.00 coupon. Then divide the total by 4 to get the answer
Please help
The slope of a line determines the direction the line is traveling from left to right.
True o false?
Answers
Answer:
True
Step-by-step explanation:
The slope both the steepness and the direction of the line
lus
Solve for x.
x = [?]
2x+16,
4x - 16
Enter
Answers
Answer:
i got x= 16/165
Step-by-step explanation:
Jug
below contains some water.
How many litres of water does this jug contain?
300 ml
250 ml
200 ml
150 ml
100 ml
50 ml
Answers
Answer:
1050 ml ÷1000 = 1.05 liters of water
Create a word problem with the equation x=y^3
Answers
Answer:
Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)
Givin
m∠1 + m∠2 = m∠3 + m∠2
Reason
?
Answers
Answer:
m∠1 + m∠2 = m∠3 + m∠2= you
np UwU
there should be 200g of nuts for every 50g of nuts what will be the amount of fruits if there are 500g of nuts
Answers
Answer:
125
Step-by-step explanation:
Elena drank 5 bottles of water over 7 volleyball practices. How much water did Elena drink each practice if she drank the same amount each time?
Please have good explanation
Answers
Answer:
Step-by-step explanation:
If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:
5 bottles of water ... 7 practices
x bottles of water = ? ... 1 practice
5 * 1 = 7 * x
5 = 7 * x /7
x = 5/7 bottle of water
The correct result would be 5/7 bottle of water.
Help!! ALGEBRA. HELP PLEASE
Answers
Answer:
1. x=15
2. x=128
3. x=47
4. x=21
The longer coffee sits on a desk, the cooler it becomes.
True or False? The length of time on the desk is a function of the temperature
of the coffee.
A. True
B. False
Answers
Answer:
I believe its B False
Answer:
A
Step-by-step explanation:
find the area of the given polygon.
Answers
9514 1404 393
Answer:
88 square inches
Step-by-step explanation:
The figure can be divided into two congruent trapezoids, each with bases 7 and 4 inches, and height 8 inches. Then the total area is ...
A = 2(1/2)(b1 +b2)h
A = (7 +4)(8) = 88 . . . . square inches
Let's say you have a bag with 16 cherries, 4 sweet and 12 sour. If you pick a cherry at random, what is the
probability that it will be sweet? Write your answer as a reduced fraction.
Answers
Answer:
4/16
is =
1/4
:) Brainiest please
Answer:
1/4
Step-by-step explanation:
Graph on a number line. x≥-4
Answers
Answer
Circle is filled in because it is greater than or EQUAL to. The arrow goes to the right because it is greater than -4
PLEASE HELP WILL GIVE BRAINLIEST AND MAX POINTS!!!
(-8) x [tex]\frac{2}{3}[/tex] =
(-8) x (- [tex]\frac{2}{3}[/tex])
-[tex]\frac{18}{3}[/tex] =
[tex]\frac{18}{-3}[/tex] =
[tex]\frac{-18}{-3}[/tex] =
Answers
[tex](-8)*\frac{2}{3} = -\frac{16}{3}[/tex]
[tex](-8)*(-\frac{2}{3} ) = \frac{16}{3}[/tex]
[tex]-\frac{18}{3} = -6[/tex]
[tex]\frac{-18}{-3} = 6[/tex]
find f(-2) for the function f(x)=5x+14
Answers
Answer:
f(-2)=(-11)
Step-by-step explanation:
f(-2)=5(-5)+14
=(-25)+14
=(-11)
someone help me plz!!
Answers
Answer: x=15
Step-by-step explanation:
Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....
(7x-10)+ (6x-5)=180
Kay so now we can combine like terms.
13x-15=180
Now we can add 15 to both sides.
13x=195
Finally Divide 13 on both sides.
X would then now equal 15.
2/3x=1/3 whats the awnser
Answers
Answer:
1/2
Step-by-step explanation:
I think so im not sure tho so sorry if its incorrect
Answer: x=1/2 is going to be your answer for this problem.