Answers
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
Related Questions
the table shows the costs of different size jars of peanut butter. Which of the jars have the lowest unit rate?
Answers
Answer:
Step-by-step explanation:
Option C) 25-oz jar has the lowest unit rate
What is the unit rate?Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc
Given here the cost of a 12 oz jar is $3
so the unit rate of a 12 oz jar is = 12/3
= 4
similarly, the unit rates of all the jars from the given table are
18 oz jar = 18/4.40
= $4.09
25 oz-jar = 25/6.75
= $3.703
32 oz jar = 32/8.25
= $3.87
Hence the jar with the lowest unit rate is the 25 oz jar
Learn more about the unit rate here:
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Factorise x^2 + 10x + 16
Answers
(x + 2) (x + 8)
Explanation:
x^2 + 10x + 16
(x + 2) (x + 8)
3(x + 2y) + 8 + 5y = 3 × x + 3 x 2 x y + 8+ 5y
?x +?y+8 + 5y
help pls I will mark you if you answer
Answers
Simplify. Rewrite the expression in the form 4n. 49
Answers
Answer:11^3
Step-by-step explanation:
Answer:
easy bro 4/49
Step-by-step explanation:
that is the lowest it can go :)
7/8•1/2??? I can’t do it in my head put it in fraction from please
Answers
Answer:
[tex]\frac{7}{16}[/tex]
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{7}{16}[/tex]
7 x 1 = 7
8 x 2 = 16
Let me know if this helps!
Please help me find x
Answers
Lale is mixing together some fertilizer. The instructions say to mix 20 liters of water with 5 liters of liquid fertilizer.
How many liters of water should Lale mix with 1 liter of liquid fertilizer?
O A 4 liters
B. 5 liters
C. 10 liters
D. 15 liters
Answers
Answer:
a. 4 liters of water......
Answer:
20/5 = 4
Step-by-step explanation:
the answer at the pic
can someone please help me
Answers
Answer:
y - 4 = 3(x-3)
Step-by-step explanation:
can someone please solve this
Answers
Step-by-step explanation:
y= -3x/2+b
at (-4,9)
9= -3(-4)/2+b
9= 12/2 +b
9=6+b
b=3
Rearranging:
3x/2 + y = 3
Find the area of the composite figure. Show your work. What is the area of the figure?
Answers
Answer:
46 units²
Step-by-step explanation:
The figure can be decomposed into 2 triangles and a rectangle.
Area of rectangle = L*W
W = 4
L = 8
Area = 32 units²
Area of triangle 1:
Area = ½(b*h)
b = 3
h = 4
Area = ½*3*4
Area = 6 in.
Area of triangle 2:
b = 4
h = 4
Area = ½*4*4
Area = 8 units
✅Area of the figure = 32 + 6 + 8
= 46 units²
If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?
Answers
Answer:
5
Step-by-step explanation:
thanks for the points
Help!!!!!!!!!!plz!!!!!!!!!!!!
Answers
Answer:
16
Step-by-step explanation:
By intersecting secants theorem:
[tex]9(2x - 17 + 9) = 8(8 + 10) \\ \\ 9(2x - 8) = 8 \times 18 \\ \\ 2x - 8 = \frac{144}{9} \\ \\ 2x - 8 = 16 \\ \\ 2x = 16 + 8 \\ \\ 2x = 24 \\ \\ x = \frac{24}{2} \\ \\ x = 12[/tex]
CE = 9 + (2x - 17)
CE = 9 + (2*12 - 17)
CE = 9 + (24 - 17)
CE = 33 - 17
CE =16
find the length of side X in simplest radical form with a rational denominator
Answers
Answer:
6
Step-by-step explanation:
Since the two angles (base ) are equal therefore the sides opposite to them will also be equal . Therefore , the value of x will be 6 .
Hence the value of x is 6.1. What kind of polyhedron can be assembled from this net?
2. Find the surface area (in square units) of the polyhedron. Show your reasoning.
Answers
Answer:
Honestly it looks like a rectangular prism.
Step-by-step explanation:
Picture that you're folding it. the dark lines are the crevaces that you fold on.
If y = 2,300 (3x), what is y if x = 3?
No files or links. Just answers.
Answers
Answer:
20700
Step-by-step explanation:
3 times 3 times 2300 = 20700
Intersecting Secant (Exterior)
Find X =
Answers
Answer: x = 13
Step-by-step explanation: the equation to solve this is:
4 × (4 + 8) = 3 × (3 + x)
so we solve the first half of that:
4 × (4 + 8)
4 × 12
48
now we have:
48 = 3 × (3 + x)
so we switch the sides to make it easier and solve
3 × (3 + x) = 48
divide both sides by 3
3 × (3 + x) ÷ 3 = 48 ÷ 3
and get
3 + x = 16
now subtract 3 from both sides
3 + x = 16
-3 -3
and finally we get
x = 13
hope this helped :)
in the figure OP= 1 what are the coordinates of Point p
Answers
Answer:
C. (cos θ, sin θ)Step-by-step explanation:
The x-coordinate of P:
x/OP = cos θ ⇒ x = OP cos θ = cos θThe y-coordinate of P:
y/OP = sin θ ⇒ y = OP sin θ = sin θThe coordinates of point P are:
(cos θ, sin θ)Correct choice is C
Distance from x axis
sinØ=x/OPx=OPsinØ=sinØDistance from y axis
y=OP cosØy=cosØP(cosØ,sinØ
Amelia needs to buy some dog food. At the nearest store, 6 bags of dog food cost $34.50. How
much would Amelia spend on 2 bags of dog food? ASAP
Answers
Answer:
34.50/3=11.5 SOOOOO- the answer will be 11.50$ (11 bucks 50 cents)
Step-by-step explanation:
Answer: Amelia would spend exact $28.75
If x2 + 12x + n is a perfect square trinomial,
then n =?
Answers
Answer:
The answer is n=36 Hope this helps^_^
Step-by-step explanation:
plz give brainliest and rating
(4-1) (4-1) (4-1)
please teach me this i will mark you brainliest answer
Answers
Answer:
I think it's 27
Step-by-step explanation:
(4-1)(4-1)(4-1)
(3)(3)(3)
9×3
27
Which proportional goes into 12/15 ?
Answers
Answer:
-80%
Step-by-step explanation:
An eight minute phone call cost $3.36. What rate describes the cost for each minute?
Answers
Answer:
0.46 a minute or 46 cents a minute
Step-by-step explanation:
$3.36 divided by 8 is 0.46 or 46 cents
A binder is 9 inches wide, 12 inches long and 1.5 inch thick. what is the volume of documents the binder can hold?
Answers
Answer:
162 square inches
Step-by-step explanation:
9*12*1.5
Answer:
162 cubic inches
Step-by-step explanation:
9 times 12 times 1.5
13. In the right triangle depicted below, what is the cosine of angle B?
Answers
Answer:
number c
Step-by-step explanation:
.............. just for filling 20 characters
the cosine of angle B
C. 0.767
How do you find the cosine of a triangle?
the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse: Also, cos A = sin B = b/c.
The cosine formula to find the side of the triangle is given by: c = √[a2 + b2 – 2ab cos C] Where a,b and c are the sides of the triangle.
Pythagoras Theorem is a generalization of the Law of Cosine.
The law of cosine can be applied in any triangle.
Learn more about the cosine of a triangle here
https://brainly.com/question/12028180
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A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
containing 5 tuna cans? Round your answer to the nearest whole number
Answers
Using the formula v = pi x r^2 x h
pi x 18.0625 x 4
You will get the answer= 72.25pi
and rounded you get
=
72pl
A triangular prism has a height of 9 meters and a triangular base with the following dimensions.
What is the volume of the prism?
- 420 m^3
- 288 m^3
- 324 m^3
- 432 m^3
Answers
Answer:
V = 432 m³
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)
Here b = 16 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²
Then
V = 48 × 9 = 432 m³
How to get a one to one function with the same range as the original ?
function using is 4x^2+8x+1
Answers
Answer:
you should try math sway but take out the s
Step-by-step explanation:
given parallelogram ABCD with A(-3,0), B(-2,3), C(3,2) and D(2,-1) find the coordinates of the diagonals AC and BD
Answers
A (-1,10)
If this is a perfect square trinomial, factor it 2 + 5x + 25 O(x + 5)? This is not a perfect square trinomial. 0 0 (x – 5)? o (x + 5) (2 5)
Answers
Answer:
There is one "special" factoring type that can actually be done using the usual methods ... "Perfect square trinomials" are quadratics which are the results of squaring binomials. ... This means that I'll have a "plus" sign between the x and the 5. ... it had a middle term of –25x, and this does not match what the pattern requires.
Step-by-step explanation:
What is the answer to 6 ^-2?
Answers
Answer: 0.02777777777
Step-by-step explanation: