Write the equation of the following circle in general form and standard form. Show your work.
Answers
Answer:
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle.
From the graph given in the picture,
Center of the circle → (-1, 1)
Radius of the circle = 3 units
Therefore, standard equation of the circle will be,
(x + 1)² + (y - 1)² = 3²
(x + 1)² + (y - 1)² = 9
General equation of the circle is the expanded form of the standard equation.
x² + 2x + 1 + y² + 1 - 2y = 9
x² + y² + 2x - 2y + 2 = 9
x² + y² + 2x - 2y - 7 = 0
Therefore, general equation of the given circle is,
x² + y² + 2x - 2y - 7 = 0
Related Questions
Could someone verify this answer if you don’t know the answer don’t say anything I don’t want to download the answer if you can’t tell me don’t say anything the question says find the area of the compound figure
Answers
Answer:
288
Step-by-step explanation:
8 x 3 x 3 x 6 = 288
The rectangle can be sectioned into two, with one of the areas being 3x8=24 and the other 3x6=18, add those together 24+18= 40cm
HELP MEEEEEEE PLEASE
Answers
Answer:
choice 2) 2/9h
Step-by-step explanation:
It has to be a fraction so you would cross out the first answer.
If the farmer has 276 feet of fencing, what are the dimensions of the region which enclose the maximal area?
Answers
Answer:
41 ft wide and 61.5 ft long
Step-by-step explanation:
Hey, I need help!
What is 56/2?
Answers
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.
a square on a coordinate plane has vertices at (4,-5) and (4,2). what is the perimeter of the square?
Answers
Answer:
28
Step-by-step explanation:
2-(-5)=7--one side
square (all sides are the same)
4 sides in total
7x4=28
Please help me answer number 2!!
Answers
Answer:
Less likely
Step-by-step explanation:
The only prime numbers on the circle are 2 and 7, meaning they take up 3/8 spaces which is less than half.
Please help i'll give brainliest
For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?
1/2 mile
1/8 mile
800 feet
300 feet
Answers
Answer:
300'
Step-by-step explanation:
Answer:
1/8 mile
Step-by-step explanation:
Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer
-4x =14 please explane
Answers
Answer:
x=-3.5
Step-by-step explanation:
14/-4 = -3.5
Answer:
If you're asking how -4x could equal 14, here's how:
Substitute -3.4 for x, so -4x-3.5, which would equal 14.
5. The Neutrality Acts allowed the U.S. to loan money to other countries at
War.
A. True
B.False
Answers
find the side lengths ! help pls
Answers
(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
Solve this for me (geometry)
Answers
Given:
The figure of triangle GHI and a circle M inscribed in the triangle.
To find:
The perimeter of the triangle.
Solution:
We know that the lengths of the tangent on a circle from same exterior point are always equal.
[tex]JH=HK[/tex] (Tangent from point H)
[tex]6x-11=2x+9[/tex]
[tex]6x-2x=11+9[/tex]
[tex]4x=20[/tex]
Divide both sides by 4.
[tex]x=\dfrac{20}{4}[/tex]
[tex]x=5[/tex]
Now,
[tex]JH=6x-11[/tex]
[tex]JH=6(5)-11[/tex]
[tex]JH=30-11[/tex]
[tex]JH=19[/tex]
In the same way,
[tex]GJ=GL[/tex] (Tangent from point H)
[tex]IK=IL[/tex] (Tangent from point H)
From the figure, it is clear that,
[tex]IL=GI-GL[/tex]
[tex]IL=40-GJ[/tex]
[tex]IL=40-23[/tex]
[tex]IL=17[/tex]
The perimeter of the triangle GHI is:
[tex]Perimeter=GH+HI+GI[/tex]
[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]
[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]
[tex]Perimeter=118[/tex]
Therefore, the perimeter of the triangle GHI is 118 units.
A bookcase is 8 feet high, 1 foot deep, and 2 feet wide. How much space (in volume) does the bookcase take up?
Answers
Answer:
The volume of the bookcase is 16 cubic feet.
Step-by-step explanation:
Hey there!
We are given three values (in feet) and asked to find the volume of a bookcase:
8 feet high1 foot deep2 feet wideWe want to find the volume. In order to do this, we need to define:
the formula for finding the volume of a rectangular prismwhat values our data fits withTherefore, the formula for volume is: [tex]v = l \times w \times h[/tex]
[tex]v[/tex] - volume[tex]l[/tex] - length[tex]w[/tex] - width[tex]h[/tex] - heightFinally, we need to assign each number value to either the length, the width, or the height.
Wide is a synonym for width, so our width is 2 feet.
Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).
High would refer to how tall something is, so the height is 8 feet.
Now, let's plug in our values and solve for [tex]v[/tex].
[tex]v = l \times w \times h[/tex][tex]v = 1 \times 2 \times 8[/tex][tex]v = (1 \times 2) \times 8[/tex][tex]v = 2 \times 8[/tex][tex]v = \text{16 cubic feet}[/tex]It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.
Therefore, the volume of the bookcase is 16 cubic feet.
2x + 9
8x + 1
Solve for x
Answers
Answer:
2x +9+8x+1=180
This on picture answer.
Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?
A. g(x) = 3−8x
B. g(x) = −38x
C. g(x) = 8 • 3−x
D. g(x) = −8 • 3x
Answers
3. Solve - 3/5t = 15
O t = 25
O t = -25
O t = 15
O t = -15
PLEASE HURRY ILL GIVE 10 POINTS AND BRAINLYEST
Answers
Answer:
t= - 15
Step-by-step explanation:
(-3/5)t = 15
Multiply both sides by 5:
-3t=75
Divid both sides by -3:
t=-15
If the volume of a solid cone is 440cm3 and
its perpendicular height is 14cm. Determine
its base diameter to the nearest whole
number
O a. 5.5cm
b. 12cm
С. 6cm
d. 11cm
Answers
Answer:
11
Step-by-step explanation:
1/3 nr^2h = volume of a cone
1/3 x 22/7 x 14 x r^2 = 440
r^2 = 440 x 3 x 7/22 x 1/14
r^2 = 30
r = 30
r = 5
The base diameter to the nearest whole number is 11cm
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V =1/3πr²h
Given the folllowing parameters
V = 440cm^3
h = 14cm
Substitute the given parameters
440 = 1/3(22/7) * 14r²
440 = 44/3 * r²
10 = r²/3
r² = 30
r = 5.5cm
d = 11cm
Hence the base diameter to the nearest whole number is 11cm
LEarn more on volume of cone here; https://brainly.com/question/1082469
find the total surface area of this square based pyramid.
Answers
125
Step-by-step explanation:
Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.
The base of the pyramid is a square of side-length 5, and its area is 5×5=25
The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×=25.
The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125
Question
What is the net signed area between f(x) = 2x + 3 and the x-axis over the interval (-4,2]? Do not include any units in
your answer
Provide your answer below:
Answers
Answer:
Step-by-step explanation:
2 units squared.
Explanation:
You can go about this in two ways: Algebra and Integrals.
Algebra
y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.
graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}
You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.
=
2
⋅
(
1
2
⋅
b
⋅
h
)
=
2
⋅
(
1
2
⋅
1
⋅
2
)
=
2
square units
Integrals
An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.
finding the X intercept (that is where y = 0)
2
x
−
6
=
0
x
=
3
when
y
=
0
When
x
<
3
, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4
=
−
∫
3
2
2
x
−
6
d
x
+
∫
4
3
2
x
−
6
d
x
=
−
[
x
2
−
6
x
]
3
2
+
[
x
2
−
6
x
]
4
3
=
−
[
9
−
18
−
4
+
12
]
+
[
16
−
24
−
9
+
18
]
=
−
[
−
1
]
+
[
1
]
=
2
units squared. And Tada, that is the same as the other answer!
Using integrals, it is found that the area of the function is of 6 squared units.
The area of a function f(x) over an interval [a,b] is given by:
[tex]A = \int_{a}^{b} f(x) dx[/tex]
In this problem:
Interval (-4, 2), thus [tex]a = -4, b = 2[/tex].Function [tex]f(x) = 2x + 3[/tex], thus:[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]
[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]
[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]
[tex]A = 4 + 6 - 4[/tex]
[tex]A = 6[/tex]
The area is of 6 squared units.
A similar problem is given at https://brainly.com/question/20733870
The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model the population y after x years.
Answers
Y=40,000(1.016)^x
Explanation:
years= x
Predicted population= y
Initial population= 40000
you can find the population y after x years with the help of this function
For example:
If we want to know the population after 5 years, put x=5 and find y
Y after 5 years= 40000(1.016)^5
=43304
Which number is equivalent to (6^2)^0
Answers
Answer:
B
Step-by-step explanation:
Anything to the 0 power is 1
use the trend line equation to determine when gas would cost about $4 per gallon
Answers
Answer:2045
Step-by-step explanation:
Answer:
2045
Step-by-step explanation:
The second angle of a triangle is twice as large as the first. The measure of
the third angle is 20 degrees greater than the first. How large are the angles?
Answers
Solve for x and y: x= 5 – 2y 4y = 15 - 2x 0 x = 5, y = 0
Answers
Answer:
i think there is no solution
A portfolio is efficient if which of the following is true?
Answers
Answer:
In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.
What is the opposite of - 1/4 ?
Answers
Answer:
1/4
Step-by-step explanation:
Find two rational numbers between -1,36 and -1,35
Answers
Step-by-step explanation:
-1,355= -1355/1000
-1,352= -1352/1000
Sales Fadil sells televisions. He earns a fixed amount for each television and an additional $25 if
the buyer gets an extended warranty. If Fadil sells 17 televisions with extended warranties, he
earns $1,785. How much is the fixed amount Fadil earns for each television?
Answers
Answer:
$80
Step-by-step explanation:
The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the shortest and longest sides. Find the lengths of the three sides.
Answers
Answer:
since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.
so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.
check Add them up it is 51cms which is the perimeter and the consecutive odd numbers
In the equation, x2 −3x + 4 = 0, what is the value of "b"?
1
-3
4
0
Answers
how do you solve
7x - 4y = 10 ?
just seeing how to sole this equation
Answers
Answer:
this is a simultanious equation and u need one more equation to do it
Step-by-step explanation:
there are many answers if u dont have the second equation.
You can just substitute a number in x then find y
eg.
x= 12/7 , y =0.5
Answer:
1. 7 x - 4 y = 10. 7x−4y=10. Add 4y to both sides. Add 4y to both sides.
2. 7x=10+4y. 7x=10+4y. The equation is in standard form. The equation is in standard form.
3. 7x=4y+10. 7x=4y+10. Divide both sides by 7. Divide both sides by 7.
4. \frac{7x}{7}=\frac{4y+10}{7} 77x=74y+10 Dividing by 7 undoes the multiplication by 7.