the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
How to calculate the equation of a circle?A circle is a 2-dimensional shape with no edges.
The standard equation of a circle with centre (a, b) and radius "r" is given as:
(x-a)^2 + (y-b)^2 = r^2
Given the diameter of circle with coordinate (2,2) and (8,14), the diameter is expressed as:
D = √12² + 6²
D = √144+36
D = √180
For the radius
r = √180/2
r² = 180/4
r² = 45
Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)
Substitute
(x-5)^2 + (y - 8)^2 = 45
Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
Learn more on equation of a circle here: https://brainly.com/question/1506955
Let A={1,2,3,4,5} and B={2,4} what is AnB
Answer:
AnB = { 2,4}
Step-by-step explanation:
A={1,2,3,4,5} and B={2,4}
AnB means A intersect B or what is common to both A and B
AnB = { 2,4}
Find the sum of
-3/7 and its opposite
What is the form of the Difference of Squares identity?
A. a^2 + b^2=(a - b)(a - b)
B. a^2- b^2 = (a+b)(a - b)
C. a^2 - b^2 = (a - b)(a - b)
D. a^2- b^2 = (a+b)(a + b)
The answer is B
seeing there are 3 way to put it
(a+b)(a-b)=a 2-b 2
(a+b)(a-b)=a^2-b^2
(a+b)(a-b)=a2-b2
and option B matches with the second way to put it i hope this helps
I need this ASAP!!!!!
Answer:
7/5 y intercept 1
Step-by-step explanation
Answer:
B: slope 5/7 Y-intercept is 1
Step-by-step explanation:
To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.
The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.
the Y intercept is 1 because on the vertical line the line passes through 0,1.
You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?
Answer:
2.3% is the percentage of the Salary
Step-by-step explanation:
If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
help please find x and y, 10 points and brainliest to best answer
Answer:
y =8
x=80
Step-by-step explanation:
5y-10=3y+6
5y-3y=6+10
2y =16
y=8
x+30+x-10=180
2x+20=180
2x=160
x=80
Which statement describes the value of the expression 7 times (24,672 - 589)?
168,581
________________________________________________________
SolveFollow PEMDAS
parenthesesexponentsmultiplicationdivisionadditionsubtractionAlways start with the top of the list, parentheses. Prioritize anything in parentheses.
[tex](24,672 - 589)[/tex]
start in hundreds place, then subtract from there.
[tex](24,672 - 589) = 24,083[/tex]
Next, multiply by 7.
[tex]24,083 * 7 = 168,581[/tex]
________________________________________________________
Questions?Ask in the comments box.
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}
Answer:
The answer is A. {2,4}
Step-by-step explanation:
I took the test on edmentum. 100%
Dallas made two pies for Thanksgiving in identical pie tins. 3/8 is left of one pie, and 2/3 is left of the other. Will all the leftover pie fit in one pie tin?
answer choices
a. yes, because 3/8 + 2/3 is less than 1
b. yes, because 3/8 is less than 2/3
c. no, because 3/8 + 2/3 is more than 1
d. no, because 2/3 is more than 3/8
3/8 = 0.375
2/3 = 0.667
0.375 + 0.667 = 1.042
answer : c. no, because 3/8 + 2/3 is more than 1
multiply (x-3)(x-6) with steps please
HELP HELP I GIVE BRANLISEST
Area of triangle:-
1/2(6)(12)6(6)=36cm²Area of rectangle (Including semicircle)
12(21)252cm²Area of semicircle
πr²/2π(6)²/218πcm²56.52cm²TOTAL area:-
36+252-56.52288-56.52231.48cm²Answer:
231.48 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.
Area of the rectangle:
= 12 x 21
= 252 cm²
Area of the semicircle:
= 1/2 π(12 ÷ 2)²
= 1/2 · 3.14 · 6²
= 1/2 · 3.14 · 36
= 56.52 cm²
Area of the triangle:
= 1/2 x 6 x 12
= 36 cm²
Shaded area:
= area of rectangle - area of semicircle + area of triangle
= 252 - 56.52 + 36
= 194.48 + 36
= 231.48 cm²
I know it's not A. I need help please
Answer:
139 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon :
sum = ( n-2) * 180 where n = number of sides
For this one there are 5 sides
so ( 5-2) * 180 = 540 degrees
angle U = 90 degrees
90 + 82 + Y + 121 + 108 = 540 Y=139 degrees
Answer:
It is C. 139
Step-by-step explanation:
Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees
V=90+28=118 degrees
152+118=270 degrees
270+311=581
720-581=139 degrees
The answer is C. 139 degrees
Find the surface area of the triangular prism shown below.
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544
From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot
Answer:
112.30 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...
Tan = Opposite/Adjacent
tan(66°) = height/(50 ft)
Solving for the height gives ...
height = (50 ft)tan(66°) ≈ 112.30 ft
The height of the building is about 112.30 feet.
PLEASE HELP ASAP 20 POINTS!!!
Answer:
D, I think…
Step-by-step explanation:
I used PEMDAS to go through and simplify and see which values match.
44 is the sum of 14 and Rick's savings.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so very much.
Answer:
50 degrees
Step-by-step explanation:
the attached photo might help
You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
inches across at the widest point. how many cubic inches of water is needed to
fill the glass? enter the answer exactly as it appears on your calculator. no
rounding this time.
An equation is shown below: 3(2x − 7) = 9
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work.
Answer:
1 solution
Step-by-step explanation:
3(2x-7)=9
dustribute: (3)(2)+(3)(-7x)=9
6+-21x=9
subtract 6 from both sides: -21x=3
Divide both sides by -21: x=-1/7
so your 1 solution is x = - 1/7
solve for x: 4x+1/2(2x+4) >12
Answer: x>2
Step-by-step explanation:
[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]
Step 1: Simplify both sides of the inequality through the Distributive Property
[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]
Step 2: Subtract 2 from both sides to isolate x
[tex]5x+2-2 > 12-2\\5x > 10[/tex]
Step 3: Divide both sides by 5 to full isolate x
[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]
This means that x can be any value that is greater than 2.
Hope this helps!
A rectangle has a length of 9 m and a width of 5 m. What is its perimeter?
14 m
40 m
28 m
26 m please help me
9 m length and 5m width.
to find:perimeter
solution:perimeter of rectangle= l+l+b+b
= 9+9+5+5
= 28m
Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate
Answer:
12 eggs/carton
Step-by-step explanation:
The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton
A line passes through the point (-9, -3) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3
m= 2 (the slope)
an equation in the point-slope form is : y +3 = 2(x+9)
means : y+3 =2x +18
an equation in slope-intercept id : y=2x+15
Fifteen is 3/8 of what number
Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓
15=3/8x (let x be the number)
Multiply by 8 on both sides to get rid of the fraction :
15*8=3x
120=3x
divide by 40 on both sides ↓
40=x
So 15 is 3/8 of 40.hope helpful ~
A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price
Answer:
4.06 i think
M - 125, find the measure of
Answer:
125
Step-by-step explanation:
Assuming the lines are parallel :
n = 180-125
= 55
x = n
x = 55
z = 180-55
= 125
find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answer:
1.9
Step by step answer
step1 finding the mean
(7+4+7+7+2+10+12+8+7+5)/10 = 6.9
step2 Difference between each data
Difference between 7 and 6.9 is 0.1
Difference between 4 and 6.9 is 2.9
Difference between 7 and 6.9 is 0.1
Difference between 7 and 6.9 is 0.1
Difference between 2 and 6.9 is 4.9
Difference between 10 and 6.9 is 3.1
Difference between 12 and 6.9 is 5.1
Difference between 8 and 6.9 is 1.1
Difference between 7 and 6.9 is 0.1
Difference between 5 and 6.9 is 1.9
step3 add all the Difference
0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4
step4 divde it by n
19.4/10 = 1.9
so the answer is 1.9
Please help Will give BRAINLIEST !!! :)
Answer:
D no. is for sure another I also don't know. So sorry.......