Find the center and radius of the circle represented by the equation below. 100pts
Answers
Answer:
centre = (- 5, - 2 ) , radius r = 18
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 the radius
(x + 5)² + (y + 2)² = 324 ← is in standard form , that is
(x - (- 5))² + (y - (- 2))² = 18²
with centre = (- 5, - 2 ) and r = 18
Answer:
Center = (-5, -2)
Radius = 18
Step-by-step explanation:
The equation of a circle in standard form is:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]
If we compare the given equation of (x + 5)² + (y + 2)² = 324 to the standard form, we get:
h = -5y = -2r² = 324Therefore, the center of the circle is (-5, -2).
To find the radius, square root 324:
[tex]r^2=324 \implies r=\sqrt{324}=18[/tex]
Therefore, the radius of the circle is 18.
Related Questions
unit 7 lessen 12 cool down 12.5 octagonal box a box is shaped like an octagonal prism here is what the basee of the prism looks like
for each question, make sure to include the unit with your answers and explain or show your reasoning
Answers
To construct an octagonal box, you will need to cut eight rectangular pieces of equal size and eight regular octagons with equal sides. After cutting the pieces, fold them in a way that forms the octagonal box.
In an octagonal box shaped like an octagonal prism, the base is an octagon. Since the question does not provide specific measurements or angles for the octagon, we will assume that all the sides and angles of the octagon are equal. Let's denote the length of each side of the octagon as "s."
Area of the octagon = 2(1 + √2) * s^2
Where s is the length of each side.
An octagonal box is a type of prism that has eight equal sides and is shaped like a polygon. It has 8 vertices, 12 edges, and 6 faces.
The top and bottom faces are regular octagons, while the remaining faces are rectangles that connect the sides of the octagons.
Octagonal boxes can be used for various purposes, including storage, decoration, and shipping.
They are durable and can protect the contents inside from damage. In unit 7 lesson 12 cool down 12.5, you might be required to construct an octagonal box.
To learn more about : rectangular
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Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help
Answers
$89-$17.8 = $71.20
Answer: $71.20
Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!
Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.
Answers
Answer:
The percent markup is 91%.
Step-by-step explanation:
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
Answer:
The percent markup is 91%.
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answers
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test
6. Determine the measures of the unknown angles in the figure.
73°
2°
26
75°
Answers
Step by step explanation
x+75+73=180 => x=180-75-73=32
x+y+26=180 => y=180-26-x=122
z+y=180 => z=180-y=58
both pictures go together
Answers
The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7
The probability that equals P(A and B) is P(B) * P(A | B)
How to calculate the probabilities of the eventsFrom the question, we have the following parameters that can be used in our computation:
The Venn diagram
Where, we have
A = 8
B = 7
A and B = 2
Neither = 1
Total = 14
So, we have
P(A) = 8/14 = 4/7
P(B) = 7/14 = 1/2
P(A and B) = 2/14 = 1/7
P(A | B) = (1/7)/(1/2) = 2/7
P(B) * P(A | B) = 1/2 * 2/7 = 1/7
How to calculate the probability that equals P(A and B)In (a), we have
P(A and B) = 1/7
Also, we have
P(B) * P(A | B) = 1/7
This means that the probability that equals P(A and B) is P(B) * P(A | B)
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Which figures can have all of the properties shown below?
2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal
square, pentagon, rectangle
trapezoid, triangle, square
quadrilateral, square, rectangle
rectangle, hexagon, square
Answers
Answer:
Quadrilateral, square, rectangle
Step-by-step explanation:
An object have parallel sides if the sides have the same distance apart and they never meet.
Quadrilaterals usually have parallel sides
Polygons including triangles and pentagons do not have parallel sides
the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other
Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal
A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes for Jinghua?
Select one:
XY, XZ, YX, YZ, ZX, ZY
XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ
X, Y, Z
XX, YY, ZZ
acually anwser or i'll report u
Answers
Answer:
XX, YY, ZZ
Step-by-step explanation:
Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:
Answers
Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
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Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle
Answers
90+7+83=180
Answer:
The third angle would be 83 degrees.
Step-by-step explanation:
Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:
180-90=90
90-7=83 degrees.
Is 8/10 greater than 63/100
Answers
Answer:
8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher
Step-by-step explanation:
Answer:
true :D
8/10 = 80/100 which is greater than 63/100
In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students
Answers
Answer: it's 30 I rook the quiz and got 100
Step-by-step explanat
pls help me :( Find the value of x. Round to the
nearest tenth.
Answers
Answer:
11.3
Step-by-step explanation:
Set up your equation:
a² + b² = c²
Plug in your values:
a² + 4² = 12²
Get a² by itself:
a² = 12² - 4²
Square your numbers and subtract:
a² = 144 - 16
a² = 128
Find the square root of both sides:
√a² = √128
a = 11.3
what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a
Answers
Answer:
A, resolving conflicts and negotiating with others
D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.
Step-by-step explanation:
Answer:
its A,B,D,F
developing objectives and strategies
assisting and caring for others
establishing and maintaining interpersonal relationships
interpreting the meaning of information for others
he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.
Answers
Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
Can anyone help me with my homework
Answers
Answer:
The answers are as follows:
Step-by-step explanation:
A --> (-1,0) , x-axis
B --> (2,-3) , Q IV
C --> (4,2) , Q I
D --> (-1,5) , Q II
E --> (-3,-4) , Q III
The inverse of x→y is:
Answers
Answer:
This is invertible
Step-by-step explanation:
pls give brainliest!
have a great day!
Find the Volume of the prism. All sides of a square box is 7/10 in.
Answers
Answer:
yyyuu,gsfehwgegrbarhqhyekejtwhhtthtanafgegrajtsjttjrhrhrjarhahrhehrhrrnrjehehehehthsqrsjsyksthggejejsgrh,,kerhatstnwtkekehaahwjjyykjm.hteerylektkh#h#h#jrj
PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b
Answers
Answer:
P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:
P(A\B) = P(A and B) P(B)
0.3 = P(A and B) 0.5
0.15 P(A and B)
P(A and B) = 0.15
B. P(A or B) = P(A) + P(B) - P(A and B)
0.2 + 0.5 - 0.15
0.70 - 0.15 = 0.55
The area of a rectangle is 192 cm. The length of the rectangle is 16 cm. What is the width?
192 = 16w -(solve for w)
Answers
Area =L×W
192=16W
192/16 =W
W=12cm
What percent of the rectangle above is
shaded?
Answers
Dony listen to the person above me, you are literally asking for a “percent” but the person above me gave a f r a c t i o n
I already studied about this
Pls mark me brainliest
A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?
Answers
Answer:
The question is uncomplete.
Step-by-step explanation:
Sorry but after you said
"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry
The statement that is true about the shape of the backyard is that: it is a rhombus.
What is a Rhombus?A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.
Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.
Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.
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Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?
Answers
Answer:
?????
Step-by-step explanation:
12x 0.25=? ?x 5= $?
Which of the following grids does the
shaded portion represent 10% of the grid?
Answers
Answer:
C
Step-by-step explanation:
Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!
Answer:
meow meow ............
.......
convert 23cm in the inches(round off to the nearest inch)
Answers
Answer:
9.055
Step-by-step explanation:
help with math thanks so much!!!!
Answers
Answer:
The answer is 7
square root 3 minus X Minus x squared is equals to x - 2
Answers
Step-by-step explanation:
I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.
what does any order grouping mean when adding expressions
Which properties are used?
Answers
Answer:
To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)
What is 6 7/13 divided by 5
Answers
Answer:
17/13
Step-by-step explanation:
Answer:
[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
Help I really need this answer 5,000 mL =
Answers
Answer:
5L
Step-by-step explanation:
[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]
Answer:
5L
Step-by-step explanation:
If you are trying to find out how many liters there are in 5000 milliliters then it is 5