plz help with equation of the circle will award fastest CORRECT answer with brainliest
Answers
Answer:
[tex](x-1)^2+(y-2)^2=6.25[/tex]
Step-by-step explanation:
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5[/tex]
Thus, r is 2.5.
Plugging these numbers into the equation, we have:
[tex](x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25[/tex]
Related Questions
Factorize. a^4-a^2+2a-1
Answers
Answer:
(a²-a+1)(a²+a-1)
Step-by-step explanation:
[tex]Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\[/tex]
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
A=66
B=229.18
C=114.59
D=240
Answers
Answer:
229.18 degrees
Step-by-step explanation:
The circumference of a circle with radius r is 2×pi×r.
So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.
So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.
There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.
I need help ASAP!!Please be sure that you know the answer
Answers
Answer:area is 60, height is 4, and perimeter is 34
Step-by-step explanation:
(81/16)1/4 +(81/16)0
Answers
Answer:
should be 0.28125
Step-by-step explanation:
Can any kind soul help me please
Use the cosine rule
Answers
Answer:
M = 45°
Step-by-step explanation:
a²=b²+c²-2bc Cos A
m² = n² + p² - 2np cos M
(5.1)² = (7.2)² + (5.3)² - 2(7.2)(5.3) cos M
26.01 = 51.84 + 28.09 - 76.32 cos M
-53.92 = -76.32 cos M
0.7065 = cos M
M = [tex]cos^{-1 }[/tex](0.7065)
M = 45°
ASAPPPPPP
What are the zeros of this function?
A. X4 and x 6
B. X-6 and x = 5
C. X-6 and xs-4
D. X 0 and x 4
Answers
The zeros of a quadratic function are when the parabola crosses the x axis.
Here it crosses the x axis at x=4 and x=6
Maureen plants tulips in a rectangular flower bed that is 2 cubed feet wide and 2 Superscript 4 feet long.
Answers
Answer:
The area would be 128ft^2
2^4 i= 2x2x2x2
2^3 = 2x2x2
multiply them and you get 128ft6^2
Answer:
128ft^2
Step-by-step explanation:
took the quiz just now :D
Express 0.00013745 to 3 significant figures.
Answers
Answer:
0.000137
To 1 significant figure: 0.0001
To 2 significant figures: 0.00014
To 3 significant figures: 0.000137
To 4 significant figures: 0.0001375
To 5 significant figures: 0.00013745
Hope it helps ❄️
Suppose you buy 6 cans of peaches at $1.10 each, 5 cans of corn for $.89 each, and 3 boxes of breakfast cereal at $3.52 each. a. Write three expressions; one each that shows how to determine the total spent on peaches,
corn and breakfast cereal. (3 pts)
Answers
Si yo tendria que sumar esos numeros daria: 21.61
porque, 6x1.10= 6.60
5x0.89= 4.45
y las tres cajas de cereal 3x3.52
I need help on this can someone help
Answers
Answer:
1:3
Step-by-step explanation:
[tex]3:9\\= 1: 3[/tex]
Answer:
1 : 3
Step-by-step explanation:
pears : apples
3 9
Divide each side by 3
3/3 9/3
1 : 3
Write an expression in simplified form for the area of each rectangle. Width: 5+2y Length:5
Answers
Answer:
25+10y
Step-by-step explanation:
The area of a rectangle is
A = l* w where l is the length and w is the width
A = 5(5+2y)
Distribute
A = 25+10y
Area of rectangle = Length * Width
Length is 5
Width is 5 + 2y
⇛Area = 5(5+2y)
⇛Area = 25 + 10y
the school bought a sandbox that measures 50 meters long 25 meters wide and 5 meters tall how many cubic meters if sand would you need to buy if each cubic meter of sand cost $1.50 how much money would it cost to fill the sandbox
Answers
Answer:
Cost of sandbox = $9,375
Step-by-step explanation:
Given:
Height of sandbox = 5 m
Length of sandbox = 50 m
Width of sandbox = 25 m
Cost of 1 cubic meter = $1.50
Find:
Cost of sandbox
Computation:
Volume of sandbox = (50)(25)(5)
Volume of sandbox = 6,250 m³
Cost of sandbox = 6,250 × $1.50
Cost of sandbox = $9,375
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Answers
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final exam. No other student in the class "achieved" such a dramatic turnaround. If the instructor decides not to include this student’s scores when constructing a new regression model, will the slope of the new line increase or decrease?
Answers
Answer:
Increase
Step-by-step explanation:
Since your not including the bad mark, it'd increase.
What is the product?
8.25 x
1
5
0.82
O 1.65
0 8.25
16.5
Answers
Answer:
Answers
product, and assign a number to each person. ... 0.82. 12–13. 9. 0.18. 1.00. Total. 50. 1.00. F requency. 0. 1. 2. 3. 4. 5. 6. 7. 8 ... 3.12 (a) x = 25661.3333, ˜x = 25514.5 (b) Skewed ... N(8.25, 0.0002857).
Answer:
the answer is c
Step-by-step explanation:
i just took the test
19) Caculate the unit rate. Driving 95 miles on 3 gallons of
gas. How many miles are driven on 1 gallon of gas?
Answers
Answer:
31.6666666 miles / gallon
Step-by-step explanation:
Take the miles and divide by the gallons
95 miles / 3 gallons
31.6666666 miles / gallon
What is the volume of this figure?
Answers
Answer:
44
Step-by-step explanation:
Answer:
4 x 4 x 4 =64
4 x 4 x 8 =128
4 x 4 x 12 =192
64+128+192=384³
hope it'll be helping
Solve for x. Round to the nearest tenth, if necessary
Answers
Answer:
x = 2.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2/ tan 26
x=2.46036
Rounding to the nearest tenth
x = 2.5
Daniel practises his guitar for 40 minutes every day
If Daniel practises six days per week for 50 weeks per year, how many years will it take him to log up 10 000 hours of practice?
Answers
The side measurement of the wall of the Green House is 9m. Find the cost of the glass required for the walls of the Green House, if the cost of 1m2 glass is AED 12.
Answers
Answer:
AED 972
Step-by-step explanation:
Area of the wall = 9² = 81 m²
each m² costs AED 12
so 81 m² will cost 12×81 = AED 972
simplify : 3p+2p+8-3=15
Answers
Answer:
3p+2p+8-3=15
5p+5=15
5p=15-5
5p=10
p=10/5
p=2
have a great dayy.
Answer:
p = 2
Step-by-step explanation:
One is given the following equation:
3p + 2p + 8 - 3 = 15
Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.
3p + 2p + 8 - 3 = 15
5p + 8 - 3 = 15
5p + 5 = 15
Inverse operations,
5p + 5 = 15
5p = 10
p = 2
Is △FHK similar to △GHJ? If so, which postulate or theorem proves these two triangles are similar? △FHK is similar to △GHJ by the SSS Similarity Theorem. △FHK is similar to △GHJ by the SSA Similarity Theorem. △FHK is similar to △GHJ by the SAS Similarity Theorem. △FHK is not similar to △GHJ.
Answers
Answer:
ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.
Step-by-step explanation:
Picture for the given question is missing; find the picture attached.
If [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H
Then ΔFHK ~ ΔGHJ
[tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex]
[tex]\frac{(12+10)}{10}=\frac{(15+18)}{15}[/tex]
[tex]\frac{22}{10}=\frac{33}{15}[/tex]
[tex]\frac{11}{5}=\frac{11}{5}[/tex]
Since, [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H [By reflexive property]
Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.
Option (3) will be the answer.
Answer:
ΔFHK and ΔGHJ are similar triangles by the SAS similarity theorem.
Step-by-step explanation:
Verified correct with test results.
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? A sign labeled 2x-1 on one side. A: 4x^2 - 1 B:4x^2 + 1 C: 4x^2 + 4x - 1 D: 4x^2 - 4x + 1
Answers
Answer:
D: 4x² - 4x + 1
Step-by-step explanation:
(2x - 1) ( 2x - 1)
4x² - 2x - 2x + 1
4x² - 4x + 1
The correct answer is d) 4x2 - 4x + 1.
The area of a square is found by squaring the side length:
(2x-1)? = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - = 1(-1) = 4 x 2 - 2x - 2x + 1 = 4x2-4x+1
find the number of size of a polygon .if each interior angle is 150°
Answers
Answer:
n=17/6 ans...............
Find the surface area of the rectangular prism
Answers
Front: 60 cm^2
Area = 6 x 10 = 60
Back: 60 cm^2
Area = 6 x 10 = 60
Right: 30 cm^2
Area = 3 x 10 = 30
Left: 30 cm^2
Area = 3 x 10 = 30
Bottom: 18 cm^2
Area = 6 x 3 = 18
TOTAL: 216 cm^2
Formula I used:
SA of a rectangular prism:
2 (lw + hl + w)
Just use the formula without the “lw”. After you used the formula, just solve for “lw” again and add it back to the final answer. This is because the upper part of the prism is not included.
Answer:
216 square cm
Brainliest, please!
Step-by-step explanation:
A rectangle has 6 sides. 2 are the same, 2 are the same, and the final 2 are the same.
(6 x 10) x 2 = 60 x 2 = 120 (Front + Back)
(3 x 6) x 2 = 18 x 2 = 36 (Top + Bottom)
(3 x 10) x 2 = 30 x 2 = 60 (Left + Right)
120 + 36 + 60 = 216 square cm
Solve for x and draw a number line. 3x−91>−87 AND 17x−16>18
Answers
Answer:
I hope this will help!
Step-by-step explanation:
Which graph represents a function?
Answers
Answer:
D, the horizontal line is a function
Step-by-step explanation:
To pass the vertical line test, a vertical line cannot go through the function more than once
A is a vertical line so it will fail the vertical line test
B will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
C will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
D is a horizontal line. This will pass the vertical line test
I can't figure this out, please help! I'll give a brainliest
Answers
Answer:
u can use pythagoras or sine rule
Step-by-step explanation:
cos-1(9/11)
Please help!
What is the slope of the line? Please explain if possible!
Any silly comments will be reported!!
Answers
Answer:
-2/3
Step-by-step explanation:
Let us take the coordinates of any two points on the line, i.e.,
1. (0,3)
2. (3,1).
Slope
= Δy/Δx
= (y2 - y1)/(x2 - x1)
= (1 - 3)/(3 - 0)
= -2/3
So, the slope is -2/3.
The volume of this cube is 64 cubic feet. What is the value of a?
Answers
Answer:
a = 4 feet
Step-by-step explanation:
Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.
[tex]\sqrt[3]{64}=4[/tex]
Therefore, a = 4 feet.
Answer:
4
Step-by-step explanation:
To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:
a^3 = 64
With the equation, we can realize 4*4*4 is 64, meaning a is 4.