1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.
Answers
Answer:
See belowStep-by-step explanation:
This is how I solved it.
Plotted the given points. See the attached.
Identified two pairs to connect, the two chords.
(5. 5) with (7, 1) and (6,4) with (-2, 4).Determined the equation of both lines:
y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒ y - 5 = -2(x - 5)y = -2x + 15and
y = 4 (horizontal line)Identified perpendicular bisectors of those two chords, they both pass through the center of circle.
Midpoints of the chords:
[(5 + 7)/2, (5 + 1)/2] = (6, 3)and
(6 - 2)/ 2 = 2The equations:
y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)Solving the system found the intersecting of those, the center.
Found the center:
(2, 1)Found the distance from the center to one of the points (7, 1):
7 - 2 = 5, this is the radiusThe equation of circle:
(x - 2)² + (y - 1)² = 25Verified all the other points are on same circle, confirmed.
Related Questions
What is the value of x in the equation 25x = 16?
O A + 4
5
OB.
+4
oc. + 1
OD
NIH
clos
Reset
Answers
Answer:
C. ±4/5
Step-by-step explanation:
25x² = 16
25x² - 16 = 16 - 16
25x² - 16 = 0
25x² + 20x - 20x - 16 = 0
(25x² + 20x) + (- 20x - 16) = 0
5x(5x + 4) - 4(5x + 4) = 0
(5x - 4)(5x + 4) = 0
5x - 4 =0
5x + 4 = 0
[tex]x=-\frac{4}{5}[/tex]
[tex]x=\frac{4}{5}[/tex]
± is a symbol which represents addition and subtraction.
what is the value of b?
Answers
Answer:
24
Step-by-step explanation:
2b = b+24
2b-b = 24
b = 24
If f(x) = 3x - 1 and f(x) = 3f(x) = 3, find x.
Answers
Answer:
x = 4/3
Step-by-step explanation:
f(x) = 3x - 1
f(x) = 3
set equal
3x - 1 = 3
add 1 to both sides
3x = 4
Divide both sides by 3
x = 4/3
Answer:
x=4/3
Step-by-step explanation:
[tex]\tt f(x)=3x-1[/tex] [tex][\tt f(x)=3][/tex]
[tex]\tt 3=3x-1[/tex]
[tex]\tt 3+1=3x[/tex]
[tex]\tt 4=3x[/tex]
[tex]\tt x=\cfrac{4}{3}[/tex]
What are the Missing sides?
Answers
Answer:
i think the answer is A ,if I'm wrong plz tell me
9x−4=−1 how do i show my work for this?
Answers
Answer:
x = 1/3
Step-by-step explanation:
9x - 4 = -1
9x = -1 + 4
9x = 3
Ive been stuck on this problem for an hour, help pleaseee.
The graph of the function is given below. Give all y-intercepts and x-intercepts shown.
Answers
Answer:
y intercept: [tex]y = 1[/tex]
x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): The y intercepts
This is the point where [tex]x = 0[/tex]
From the attached graph, [tex]x = 0[/tex] when
[tex]y = 1[/tex]
Hence, the y intercept is 1
Solving (b): The x intercepts
This is the point where [tex]y = 0[/tex]
From the attached graph, [tex]y = 0[/tex] when
[tex]x = -1[/tex] and [tex]x = -3[/tex]
Hence, the x intercept are -1 and -3
Please HELPP with this question
Answers
9514 1404 393
Answer:
551.07 yd²
Step-by-step explanation:
For radius r and height h, the total surface area of the cylinder is given by ...
SA = 2πr(r +h)
Here, the radius is 4.5 yards (half the diameter) and the height is 15 yards. That makes the surface area ...
SA = 2(3.14)(4.5 yd)(4.5 +15 yd) = 551.07 yd²
Josh used 3 packages of spaghetti to make dinner for 19 guests. How much did
each guest have?
Answers
Answer:
6.3
Step-by-step explanation:
19/3=6.3 repeating so i just shortened it to 6.3.
final answer: 6.3
The formula for the area of a triangle is A = = { bh. Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet.
Answers
Answer:
A=42ft
Step-by-step explanation:
plz brian list
Rewrite the following logarithmic expression as an exponential expression
Answers
Answer:
it should be the same answer....?
Step-by-step explanation:
A personnel psychologist studying adjustment to the job of new employees found a correlation of .3 between amount of education and rating by job supervisors 2 months later. The psychologist now plans to use the amount of education to predict supervisors’ later ratings. Indicate the independent/predictor variable, dependent/criterion variable, and beta. Write the Z-score prediction model; give the predicted Z-scores for supervisor ratings for employees with the amount of education Z-score of -1.5, -1, -.5
Answers
Answer:
the predictor variable is: amount of education
the criterion variable is: the Supervisors' rating
the beta is: .3
the Zy scores are -0.45, -0.3, 0.15
Step-by-step explanation:
r=beta which is the same; hence correlation equals regression
use this formula for the Z-scores
Zy= (beta) (Zx)
zy=(.3) (-1.5) = -0.45
(E) -1.5;
Zy=-0.45
(F)-1,
Zy=-0.3
(G)-.5.
Zy=-0.15
Write the numbers in order from least to greatest. *
1 point
Captionless Image
1/4; 0.4; 0.55; 3/5
0.4; 1/4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
3/5; 0.4; 1/4; 0.55
Answers
Answer:
1/4; 0.4; 0.55; 3/5
0.25, 0.40, 0.55, 0.60
Already in order.
0.4; 1/4; 0.55; 3/5
0.40, 0.25, 0.55, 0.60
1/4; 0.4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
0.25, 0.60, 0.40, 0.55
1/4; 0.4; 0.55; 3/5
3/5; 0.4; 1/4; 0.55
0.60, 0.40, 0.25, 0.55
1/4; 0.4; 0.55; 3/5
The following rule is used to work out the total cost, in cunos, ofhings
Total cost - 9 euros for each hour plus 20 euro
Paolo hires the room for 5 hours.
(a) Work out the total cost.
Answers
Answer:
65
Step-by-step explanation:
9+9+9+9+9
or
9×5 both = 45
45+20 euros = 65
45 euros per 5 hours , + bonus the 20 euros = 65 in total.
For a year you owe 1600 on a credit card you pay 19% interest a year how much are you paying
Answers
Step-by-step explanation:
Simple interest = Principle * time * rate of interest
= 1600 * 1 * 19%
= 1600 * (19/100)
= 304
Total amount of debt
= 1600 + 304
= 1904
Answer:
1296
Step-by-step explanation:
Find a,b,c and d?..........
Answers
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3
Yo i need some math expert because im confused:
Is this true??:
9.06 = 9.6
Because if its true, does it mean that if you round it both to the nearest tenth, it would have the same answers.
If its false, i want to know why and what will be the answer if both numbers are rounded to the nearest tenth
MARKING BRANLIEST FOR A VALUABLE ANSWER! Anything off topic will be report.ed.
Answers
A store has two different coupons that customers can use. One coupon gives the customer $35 off their purchase, and the other coupon gives the customer 35% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost in dollars) and outputs the cost after applying the "$35 off" coupon, and let g be the function that inputs a cost in dollars) and outputs the cost after applying the "30% off" coupon.
Required:
What is correctly represents the fact that the cost of purchasing $190 worth of goods is $98 when the "30% oft" coupon is applied first followed by the "$35 off" coupon?
Answers
Answer:
h(x)=f[g(x)]=0.7x-35
Step-by-step explanation:
In this case function f, which inputs a cost and outputs the cost after applying the $35 off coupon looks like this:
f(x)=x-35
where x is the cost of the purchase. In this case we are subtracting the $35 from the cost x.
Function g, which inputs a cost and outputs the cost after applying the 30% off coupon looks like this:
g(x)=x-0.3x
g(x)=0.7x
in this case we are subtracting 30 percent of the cost from the cost of the purchase.
So in order to find a function that represents the cost of the purchase when first applying the 30% coupon and then the $35 coupon we will need to get a composite function f(g(x)). Which means we need to substitute function g(x) into the f(x) function so we get:
h(x)=f[g(x)]=(0.7x)-35
or:
h(x)=0.7x-35
We can prove this function works when plugging x=$190 in so we get:
h(190)=0.7(190)-35
h(190)=133-35
h(190)=98
5/2x + 3 = 4/x x = -1 x = -4 x = 4
Answers
Answer:
x = 0.5
Step-by-step explanation:
[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]
[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]
5 + 6x = 8
5 - 5 + 6x = 8 - 5
6x = 3
[tex]\frac{6x}{6} =\frac{3}{6}[/tex]
x = 0.5
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24.
A) 63 B) 85 C) 16
Answers
x=4.5 - - -> y=3
x=24 - - - -> y= n
4.5n= 72
n= 72/4.5
n= 16
the answer is C) 16
Y= 3
X=24
Answer: C) 16
PLEASE HELP!!!!!!!!!!
Answers
Answer:
second
Step-by-step explanation:
[tex]\frac{2x}{5} +\frac{1x}{5} +\frac{5}{8} -\frac{2}{8} = \frac{3x}{5} +\frac{3}{8}[/tex]
Answer:
3/5 x + 3/8
remove parentheses:
2/5x + 5/8 + 1/5x - 1/4
simplify terms:
3/5x + 5/8 - 1/4
make 1/4 have a common denominator to 15/8 by multiplying 2/2.
3/5x + 5-2/8 =
3/5x + 3/8
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
1. 3x = 9
2. 3x = 1
3. 11x = 9
4. 11x = 1
Answers
Answer:
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhh
7x+4=5+4x
7x=5-4+4x
7x-4x=5-4
3x=1
So the answer is 2
Question about decimals
I have a math problem
205.17/713.95
I worked it out all by hand and eventually got to 34.79797241 as the calculator stated. This problem was very time consuming as it took a lot of work to complete. I was wondering if there was a simpler way of cutting my answer short that would also be correct?. I am unable to determine if this number is terminal or repeating as the decimal answer looks repeating with the 7979 but then appears to be terminal with the 241 part. Im assuming this number is terminal? Do I just need to suck it up and do the math or Is there a certain part of the decimal place value it would be appropriate to just stop at?
One more question unrelated to my previous questions.
I originally tried to solve this problem out of (A.) 713.95the divisor /by 205.17 the dividend as I know I am ALWAYS supposed to put the bigger number in the dividend section, but I am curious on how I would go about solving this question the opposite way (B.) with 205.17 as the divisor /by 713.95 as the dividend. I know this is possible as the calculator states
(A.) 713.95/205.17 =3.479797241
(B.) 0.2873730653 (I'm guessing this overwhelmingly long decimal is also terminal?)
Answers
Answer:
Both are terminating decimalsStep-by-step explanation:
Answer to your questions:
First of all, both A and B are correct and both quotients are terminating decimals.To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth). Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29If the measure of angle A=55 degrees, b=12, and c = 7 then find the measure of angle B.
Answers
Answer:
use the sine rule
Step-by-step explanation:
which of the is not an example of property tax?
A) Tax paid on the value of a farm a person owns
B) Tax paid on the value of a piece of land a person owns
C) Tax paid on the value of a piece of furniture a person owns
D) Tax paid on the value of a home a person owns
Answers
Answer:
C
Step-by-step explanation:
Furniture is not counted as property that can be taxed.
Plz help me well mark brainliest if correct.......????
Answers
Answer:
D
Step-by-step explanation:
shows change over time
what are some ways customers could get in financial trouble with credit cards? write in sentence or paragraph form
Answers
Answer:
the ways customers could get in financial trouble with thier credit cards are:
The Allure of Excessive Spending Interst Makes Paying Off the Balance Difficult. There's a chance you'll end up in debt.
You run the risk of damaging your credit score.
Minimum payments can give the impression of safety.
Credit Card Terms Can Be Confusing.
It's more difficult to keep track of spending, especially
when using multiple credit cards.
Step-by-step explanation:
-
7/10 = y/100
what is y?
Answers
Answer:
7/10= y/ 100
Well the answer is
y=70
mentioned some good points about commerce subject in grade 12??
Answers
Answer:
You can easily be employed in the future
you can be in any profession such as bank accountant,trader, manager at business etc
Step-by-step explanation:
hope you like it
Answer:
well I like
Step-by-step explanation:
to be honest their all i don't know how to explain but their all OK i guess
20/5 as a whole number
Answers
Answer:
4 is the answer
Step-by-step explanation:
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answers
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that [tex]\sigma = 1.5[/tex]
Margin of error of 0.25
This means that [tex]M = 0.25[/tex]
What's the minimum size of the sample?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 2.575*1.5[/tex]
[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]
[tex]n = 238.7[/tex]
Rounding up:
The minimum sample size is 239.