The equation represents the general form a circle with a center at
(–2, –3) and a diameter of 8 units is,
[tex]x^{2} +4x+y^{2} +6y-3=0[/tex]
Given that,circle with a center at (–2, –3)
diameter of circle is 8 units
To find
the equation of the circle that represents the general form of a circle with a center at (–2, –3) and a diameter of 8 units.
Radius of the Circle is,
The diameter of the circle is 8 units. therefore,
[tex]radius=\frac{d}{2}=\frac{8}{2} =4[/tex]
Equation of a circle
The equation of the circle that represents the general form of a circle with a center at (–2, –3) and a radius of 4 units.
What is the general form of equation of circle?[tex](x-h)^{2} +(y-k)^{2} =R^{2}[/tex]
Substituting the values,
[tex](x-(-2))^{2} + (y-(-3))^{2} =4^{2}[/tex]
[tex](x+2)^{2} + (y+3)^{2} =4^{2}\\[/tex]
[tex]x^{2} +4x+4+y^{2} +6y+9=0[/tex]
[tex]x^{2} +4x+y^{2} +6y-3=0[/tex]
Therefore, the option C is correct.
The equation represents the general form a circle with a center at
(–2, –3) and a diameter of 8 units is
[tex]x^{2} +4x+y^{2} +6y-3=0[/tex]
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Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. Which equation shows her estimate?
A. 10 + 5 + 10 + 5 = 30 meters
B. 12 + 3 + 12 + 3 = 30 meters
C. 13 + 3 + 13 + 3 = 32 meters
D. 13 + 4 + 13 + 4 = 34 meters
Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
What is the exact perimeter of Jada’s garden?
Answer:
what is the answer
Step-by-step explanation:
Answer:
all i just know is the first question is C
Step-by-step explanation:
The owner of two grocery stores recorded the number of shoppers at each store for 10 days. On day 5, Store B had a sale. The number of shoppers per day at the stores are shown in the table.
Answer:
Step-by-step explanation:
IIncrease decrease decrease
Factor the polynomial completely using the x method. x2 16x 48 an x-method chart shows the product a c at the top of x and b at the bottom of x. above the chart is the expression x squared 16 x 48. which equivalent four-term polynomial can be created using the x method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x 48
The equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
How to find factor of polynomial using X method?The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result. X-method is the method to find the factors of the polynomial equation.
The polynomial equation is given as,
[tex]x^2 +16x +48[/tex]
An x-method chart shows the product a c at the top of x and b at the bottom of x for the standard polynomial equation. The standard polynomial equation can be given as,
[tex]ax^2+bx+c[/tex]
Comparing the given equation with standard polynomial equation, we get,
[tex]a=1\\b=16\\c=48[/tex]
The x method chart is attached below for the given equation.
The terms 16 x can be divided into the two terms 12x and 4x using the X-method. Thus the equation will become,
[tex]x^2 +12x +4x+ 48[/tex]
Thus, the equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
Learn more about the X method here;
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Answer:
C. x2 + 12x + 4x + 48
James has read 108 pages of a book in 3 days. At that rate, how many days would it take him to read 576 pages of the book?
Answer:
16 days
Step-by-step explanation:
If 108 is divided by 3 is equal to 36 so in one day james can read 36 pages
So 576 divided by 36 is 16
Answer:
16 daysStep-by-step explanation:
This is because 1 day = 36 pages
16 days = 576
1. Given
total number of pages = 576
read number of pages = 108
read number of pages in days = 3
2. Unknown
days to read 576 pages = ?
3. Equation
108/3 = 36
576/36 = 16
4. Check
16*36 = 576 = 576
Correct!
Hope this helps,
Kavitha
Complete the following sentence. A tent is an example of a .
Answer:
triangular prism
Step-by-step explanation:
A triangular prism has 3 rectangular sides and 2 triangles as the base
hope this works
Answer: of a pyramidal in shape form.
Step-by-step explanation:
The bases of the prism below are right triangles. The volume of the prism is 360
units. Find the height of the prism.
Answer:
15
Step-by-step explanation:
The surface of one of the triangles making the base of the prism is [tex]\frac 12 \cdot 6 \cdot 8 = 24[/tex].
At this point we can express the volume in terms of base surface and height as in [tex]360 = 24\cdot h[/tex] from which we can get the height by dividing by 24 both sides:
[tex]h= \frac{360}{24} = 15[/tex]
Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation?
Answer:
12 arrangements
Step-by-step explanation:
We solve this question using the Greatest Common Factor method.
We are told that:
She has 36 red carnations, 60 white carnations, and 72 pink carnations.
The same number of each item should be in each basket.
The greatest number of baskets is calculated as follows:
Step 1
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Step 2
We Identify the number that is greatest and common amongst 36,60, and 72
This is 12.
Then the greatest common factor is 12
Therefore, the greatest number of arrangements she can make if she uses every carnation is 12 arrangements
Asap! I’ll mark you brainlest
What does how much money does he have before mean?
Add
Subtract
Divide
Multiply
[tex][Hello,BrainlyUser][/tex]
Answer:
Subtract
Step-by-step explanation:
Given;
Mr. Kawasaki was given $14.25.
Now he has $20.51
How much money did he have before.
Thus, we use subtraction.
$20.51 - $14.25 = 6.26
[CloudBreeze]
PLEASE SOMEONE SAVE THE DAY I NEED HELP!!
find the unknown value 30% of = 30
Answer:
9
Step-by-step explanation:
How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi. 0.3 cm 0.7 cm 2.9 cm 7.1 cm
The arc length of the sector is 7.065 approximately 7.1 cm. Then the correct option is D.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/2 radians in a circle with a radius of 4.5 cm.
Then the arc length will be
[tex]\rm Arc \ length = \dfrac{\pi /2}{2 \pi} * 2*\pi * 4.5\\\\\\Arc \ length = \dfrac{1}{2} * 3.14*4.5\\\\\\Arc \ length = 7.065[/tex]
Then the arc length is 7.065 approximately 7.1 cm. Then the correct option is D.
More about the circle link is given below.
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Answer:
D is the answer
Step-by-step explanation:
No Reason just try it out
Which is a counterexample for the conditional?
If a polygon has four right angles, then it is either a square or a rectangle.
Answer:
No because squares and rectangles are a type of polygon.
Step-by-step explanation:
A polygon is any shape with straight sides.
Polygon of having four right angles, then it is either a square or a rectangle.
What is polygon?A polygon is a closed object made of line segments rather than curves on a two-dimensional plane. Combining the terms poly, which means multiple, and gon, which means sides, creates the word polygon.
Given that,
A polygon has four right angles.
Since, A polygon of four right angles, then there will be four sides of polygon.
Four sides which are right angle can frame either a square or a rectangle.
A polygon is either a square or a rectangle.
This condition is true, because if all sides of polygon are equal then it will be a square and if all sides are not equal, then it will be a rectangle.
So, polygon with four right angles is either square or rectangle.
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(4/25) to the power of negative 1/2
Answer:
5/2
Step-by-step explanation:
[tex] {( \frac{4}{25} )}^{ - \frac{1}{2} } [/tex]
Apply indices rule and Simplify
[tex] \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} [/tex]
[tex] = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} [/tex]
What are coordinates of points A, B, C, and D?
Answer:
See below.
Step-by-step explanation:
A = (-2/3, 0)
B = (-1/6, 0)
C = (1/2, 0)
D = (4/3, 0)
Step-by-step explanation:
the interval between 0 and 1 shows us, that on that scale the distance between 2 full numbers is split into 6 parts.
so, every little marker represents 1/6.
A goes 4 markers below 0 (left of 0) and is -4/6 = -2/3.
B goes 1 marker below 0 and is -1/6.
C goes 3 markers above 0 (right of 0) and is 3/6 = 1/2.
D goes 2 markers above 1 and is
1 + 2/6 = 6/6 + 2/6 = 8/6 = 4/3 = 1 1/3
please pick the format your teacher wants you to use to write the result.
if you actually need decimals instead of fractions :
-2/3 = -0.666666666...
-1/6 = -0.166666666...
1/2 = 0.5
4/3 = 1.333333333...
You are adding orange juice to a 10-liter capacity jar. The equation 3x – 2y = -5 relates the amount of juice y, in liters, with the number of minutes, x, you add juice. How much juice was in the jar to start?
At what rate is the jar filled?
Answer: 5/2 liters (or 2.5 liters) of juice were in the jar to start.
The jar was filled at a rate of 5 minutes.
Step-by-step explanation: Firstly, rearrange the equation so that y = mx + b. If you move the x over, you get -2y = -3x -5. To get rid of the -2 in front of the y, divide both sides by -2. Then you get y = 3/2x + 5/2.
The amount of juice in the jar initially is b, also known as the y-intercept.
If you look at the equation, you see that 5/2 is our y-intercept which means the jar initially had 5/2 liters of juice at the start (this is the same as 2.5 liters because 5 divided by 2 is 2.5).
To find the rate at which the jar was filled, you need to solve for x. Plug in the 10 liters for the y and solve.
y = 3/2x + 5/2
10 = 3/2x + 5/2
Now, subtract 5/2 from both sides.
7.5 = 3/2x
Divided both sides by 3/2 to get x alone, which will give you the number of minutes in which the jar was filled.
5 = x
The jar was filled at a rate of 5 minutes.
Evaluate... k/2 + 9 = 30
Answer:
K = 42
Step-by-step explanation:
K/2 = 21
2* k/2 =2*21
k=42
Can someone PLEASE help me
The base of a triangle is 26cm less than the height of the triangle. What is the area of the triangle in square centimeters? brainly
NEED THE ANSWER ASAP
Answer:
it is ASA............ .
Which is the dependent variable?
A= amount Ty owes
B= cost of each payment
C=Months
Answer:
B
Step-by-step explanation:
Because the cost depend on how much he owes per month
I need help in this
Simplify:
3x-6x+9x-10x
Answer:
-4x
Step-by-step explanation:
Factor out the common term x:
⇒ x(3 - 6 + 9 - 10)
Carry out the operation in the parentheses, going from left to right:
⇒ x(-4)
Therefore, the final answer is:
⇒ -4x
Answer:
-4x
Step-by-step explanation:
Given;
[tex]3x-6x+9x-10x[/tex]
Solve;
[tex]\mathrm{Add\:similar\:elements:}\:3x-6x+9x-10x[/tex]
[tex]3x+9x=12x[/tex]
[tex]-6x-10x=-16x[/tex]
[tex]-16x+12x=-4x[/tex]
~Learn with Lenvy~
add the following polynomials (2x + 5) + (-1x -4) Answer options: 3x + 9, 3x + 1, 1x + 1, 1x + 9
Answer:
1x+1
Step-by-step explanation:
just open the parentheses
is the equation y + 1 equals 8 (x + 6) in point-slope form?
Answer:
Yes
Step-by-step explanation:
The equation is y-y1=m(x-x1)
Answer: Yes
Step-by-step explanation:
The formula for point-slope form is y-1₁=m(x-x₁). The given equation is y+1=8(x+6). That means the given point is (-6,-1), and the slope is 8.
x = 4y - 2z - 15
z = 2y - 4
5x = 10
Answer:
99
Step-by-step explanation:
Over the last 8 nights elyse earned the following tips {105,120,84,95,100,150,132,140}. If she earns $140 a night for the next four nights, which measure of center would increase more, the mean or median?
Answer:
The mean would increase more
pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
area = 84 cm²
Step-by-step explanation:
the quadrilateral is made up of 2 triangles ABD and BDC
area of Δ ABD = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
A = [tex]\frac{1}{2}[/tex] × BD × AE = [tex]\frac{1}{2}[/tex] × 14 × 7 = 7 × 7 = 49 cm²
area of Δ BDC = [tex]\frac{1}{2}[/tex] × BD × CF = [tex]\frac{1}{2}[/tex] × 14 × 5 = 7 × 5 = 35 cm²
area of ABCD = 49 + 35 = 84 cm²
Can someone please help me figure out what’s 18 3/4 as a decimal
Solution:
We know that:
Given fraction: [tex]18\frac{3}{4}[/tex]Since the denominator is divisible by 100, we can solve this using an alternate way.
Step-1: Let's convert the mixed fraction into improper fraction.
Converting the mixed fraction to improper fraction:
[tex]18\frac{3}{4} \\\\= \frac{(18 \times4) + 3}{4} \\\\= \frac{72 + 3}{4} \\\\= \frac{75}{4}[/tex]
Step-2: Somehow, let's change the denominator to a 100.
Changing the denominator to a 100 using a proportion:
[tex]\frac{75x}{4x} = \frac{75x}{100} \\\\ 4x = 100 \\\\ x = 25 \\\\ \bold{Check:} \\\\\frac{75 \times25}{4 \times 25} = \frac{75 \times 25}{100} \\\\ \frac{1875}{100} = \frac{1875}{100} \bold{(True)}[/tex]
Step-3: Adjust the decimal to the right place.
Adjusting the decimal to the right place:
[tex]\frac{1875}{100} = 1875 \div 100 = 18.75[/tex]
Since 100 has 2 zeros, the decimal shifted 2 places to the left.
Thus, [tex]18\frac{3}{4}[/tex] in decimal form is [tex]18.75[/tex].
In decimal, mixed number [tex]18\dfrac{ 3}{4}[/tex] Can be written as 18.75.
To convert the mixed number [tex]18\dfrac{ 3}{4}[/tex] to a decimal, we can first convert the fraction part [tex]\dfrac {3}{4}[/tex] To its decimal equivalent, and then add it to the whole number part 18.
To convert 3/4 to a decimal:
Divide the numerator (3) by the denominator (4):
3 ÷ 4 = 0.75.
The fraction 3/4 is equivalent to 0.75 as a decimal.
Next, add the decimal equivalent of the fraction (0.75) to the whole number (18):
18 + 0.75 = 18.75.
Therefore, [tex]18\dfrac{ 3}{4}[/tex] As a decimal, is 18.75.
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I need help with this question
Answer: (2)
Step-by-step explanation:
There are 40 cows and 15 chicken. Compare the number of cows to the number of chicken. Write you answer three ways. Your answer
Answer:
they're are more cows than chickens, they're less chickens than cows, the number of cows is 25 more than the number of chickens
Step-by-step explanation:
hope this helped love!
Solve x - 2. 6 Greater-than-or-equal-to 9. 4 and graph the solution on the number line. Which statements are true? Check all that apply. X Greater-than-or-equal-to 12 x Greater-than-or-equal-to 6. 8 A closed circle is used on the graph. An open circle is used on the graph. The arrow on the graph points left. The arrow on the graph points right.
Answer:
X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.Step-by-step explanation:
This one-step inequality can be solved by adding the opposite of the constant that is added to x. A number line graph of the solution is attached.
x -2.6 ≥ 9.4
x ≥ 12.0 . . . . . . add 2.6 to both sides
The "greater than" relation means that numbers larger than 12 will be included in the solution set. Shading of the number line will be to the right of 12.
The "or equal to" relation means that 12 itself is included in the solution set. This is indicated by a closed circle at 12 on the graph.
The true statements are ...
X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.Answer:
A C F are the answers for the question