What is the standard form of the equation for the circle
A. (X-3)^2+(y-2)^2=32
Answers
The standard form of the equation for the circle is (x - 3)² + (y - 2)² = 8.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Note: A center that lies on the y-axis simply means the value of h on the x-axis is equal to 0.
Based on the information provided above, we have the following parameters:
Radius, r = √[(3 - 5)² + (2 - 4)²] = √8
Center, (h, k) = (3, 2).
By substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 3)² + (y - 2)² = (√8)²
(x - 3)² + (y - 2)² = 8.
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Complete Question:
A circle is shown on the coordinate plane. The graph shows a circle with the origin point A at (3, 2), and a point B on its circumference at (5, 4) and intersects the x-axis at 1 and 5 units. What is the standard form of the equation for the circle?
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Answers
So, we know that JI and JX are perpendicular (first statement). That just means that they mean at an angle of 90*.
That means CIJ has an angle of 150*-90*=60*. Therefore, as IG bisects CIJ , both CIG and GIJ have angle 60*/2=30*.
Half a circle has 180*. GIR is just short of CIG to be a half circle.
Therefore
180*-mCIG=mGIR
We know mCIG was 30*, so
150*=mGIR
I need to Expand 2(x + 3) =
Answers
Answer:
2x+6
Step-by-step explanation:
you multiply what is inside by what is outside
2(x+3) giving 2x+6
it is given in a factorised form , by removing common factor that is 2
Robert's book bag is weighing him down. His bag alone weighs 4 pounds. His library book
weighs 2 pounds. The math book is 4 times the weight of the library book, and his science
book is 2 times the weight of the math book. How much does his book bag weigh with all
these books? What is the heaviest book in his book bag?
Answers
The library book weighs 2 pounds.
The math book is 4 times the weight of the library book, so it weighs 4 * 2 = 8 pounds.
The science book is 2 times the weight of the math book, so it weighs 2 * 8 = 16 pounds.
To find the total weight of Robert's book bag, we add the weights of all the books and the bag:
4 pounds (bag) + 2 pounds (library book) + 8 pounds (math book) + 16 pounds (science book) = 30 pounds.
Therefore, Robert's book bag weighs 30 pounds with all these books.
To determine the heaviest book in his book bag, we compare the weights of the books:
The bag weighs 4 pounds.
The library book weighs 2 pounds.
The math book weighs 8 pounds.
The science book weighs 16 pounds.
From these options, the science book is the heaviest, weighing 16 pounds.
Answer:
1) 30 pounds is the weight of the bag all together
2) science book is the heaviest book
Step-by-step explanation:
bag=4 pounds
library book=2 pounds
maths book=2×4=8 pounds
science book=8×2=16 pounds
4+2+8+16=30 pounds all together
heaviest book= science book (16 pounds)
Can anyone help me with #85?
Answers
Part (a)
\(\overline{x}=\frac{\sum x}{n} \\ \\ \boxed{\sum x=n\overline{x}}\)
Part (b)
\(\sum x^2-2\overline{x}(n\overline{x})+n\overline{x}^2 \\ \\ =\sum x^2 -2n\overline{x}^2+n\overline{x}^2 \\ \\ =\boxed{\sum x^2-n\overline{x}^2}\)
NEED HELP FAST THIS IS ALL MY POINTS
Answers
Answer:
Equations: 10+1 & 10-1
This would trick them good!
What is line r called and what are ∠1 and ∠2?
Answers
Answer:
The line r is the transversal and ∠1 and ∠2 are linear pairs.
Step-by-step explanation:
Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.
Consequently, the parallel lines are p and q.
R is the transversal
The parallel lines p and q are divided by the transversal r.
As a result, lines 1 and 2 are linear pairs, and line r is the transversal.
Answer:
it is called a transversal (how do u not know this?)
the domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values excpet 2. what are the restrictions on the domain of (u•v)(x)?
Answers
Answer:
\((-\infty, 0) \cup (0,2) \cup (2,\infty)\)
Step-by-step explanation:
Remember that the domain of the product of functions is the intersection of domains, therefore when you intercept them you get the following interval.
\((-\infty, 0) \cup (0,2) \cup (2,\infty)\)
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
Answers
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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ggj helpppppppp pls?
Answers
So for 8 pancakes 5g of butter is needed.
So to make one pancake we have to divide 5 by.
5/8 = 0.625
And then you times 0.625 by 12 to find out how much butter is needed for 12 pancakes
So the answer is
7.5g of butter
(i)To make 8 pancakes 250 ml milk is needed. So, to make 4 pancakes=
(250/8)×4=120 ml is needed!
(ii)To make 8 pancakes 5g butter is needed and to make 12 pancakes=
(5/8)×12=7.5 g butter is needed!
6/30 in its simplest form
Answers
Answer:
\(\frac{1}{5}\)
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
6/30 can be simplified by finding the LCD (least common denominator), which is 6
divide both the top & bottom by 6
6/6 = 1
30/6 = 5
thus, your answer is 1/5
Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R^5? Why?
a. The matrix must have nothing pivot columns. If A had fewer pivot columns, then the equation A would have only the trivial solution.
b. The matrix must have nothing pivot columns. The statements "A has a pivot position in every row" and "the columns of A span " are logically equivalent.
c. The matrix must have nothing pivot columns. Otherwise, the equation A would have a free variable, in which case the columns of A would not span .
d. The columns of a 57 matrix cannot span because having more columns than rows makes the columns of the matrix dependent
Answers
Answer:
The answer is "Option B".
Step-by-step explanation:
In the given choices there is some mistake so, the correct choice can be defined in the attached file. please find it.
In the given question, If the column of \(5 \times 7\) matrix, and the A span is equal to \(R^5\), and then the value of A has a pivot in each row, that's why in each pivot its position in the different columns of A has the five pivot columns, that's why the choice B is correct.
Which of the following is the equation of a line with a slope of -5/9
Answers
Answer:
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Step-by-step explanation:
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solve 124.01 plus 12.001
Answers
Answer:
136.011
Step-by-step explanation:
124.01 + 12.001= 136.011
Hope this helps!
Answer:
136,011
Step-by-step explanation:
124,01 + 12,001
= 136,011
pls help pls, i need this pls help
Answers
Answer:
Step-by-step explanation: a real one for the points
Can someone PLEASEEE answer this for me I really need help :(
Answers
Answer: 850
Step-by-step explanation:
if 250 miles takes 5 gallons then 7 gallons may give you about 850.
It looks like your just adding on 2 more.
Answer:
350 miles
Step-by-step explanation:
5 gallons of gas - 250 miles
7 gallons of gas - \(\frac{7}{5}\) × 250 miles = 350 miles
what are product rule
Answers
The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.
PLEEEASEEEE HEEELPPP!!!
Answers
Answer: About 72%
Step-by-step explanation:
It's a conditional probability.
(Number of graduates on financial aid)/(Number of graduates)
\(\frac{1879}{2610} =0.7199\)
0.7199 = 71.99% ≈ 72%
A police car is chasing a speeding car on a right-angled intersection such that former is approaching to the intersection, while the latter is moving away from it. At the point where the police car is at 80 mph and it is 44 yards from the intersection, the police radar detected that the distance between them is increasing at 45 mph, while the other car is 117 yards away from the intersection. What is the rate of the speeding car?
Answers
The rate of the speeding car is 0.493.
We have,
The police car is at 80 mph and it is 44 yards from the intersection, is increasing at 45 mph, while the other car is 117 yards away from the intersection.
So, Rate of speeding car
= (45- 80)/ (117- 44)
= -35/(-73)
= 35/73
= 0.493
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let f(x) = 3x^2 - 5x + 13 and g(x) = 2x -7. What is g (f (x))
Answers
Answer:
G(f(x))=2(3x^2-5x+13)-7
G(f(x))=6x^2-10x+26-7
G(f(x))=6x^2-10x+19 =>A
Step-by-step explanation:
6 , -30 , 150 ... find the13th geometric sequence
Answers
Answer:
1464843750
Step-by-step explanation:
an= 6*-5^12
What is f(4) for the function f(x)= 6x+7?
Answers
Answer:
31
Step-by-step explanation:
f(4) = 6x4 + 7
= 24 + 7
= 31
Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
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Х
?
Answers
Answer:
\(a_{16} = 121\).
Step-by-step explanation:
To go from the first term \(a_{1}\) of this sequence to the second term \(a_{2}\), add \(d\) to \(a_{1}\!\).
To go from the first term \(a_{1}\) of this sequence to the third term \(a_{3}\), add \(2\, d\) to \(a_{1}\!\).
In general, going from the first term \(a_{1}\) of an arithmetic sequence to the \(k\)th term, add \((k - 1)\, d\) to \(a_{1}\!\).
Thus, given an arithmetic sequence with \(a_{1}\) as the first term and \(d\) as the common difference, the \(k\)th term of this sequence would be \(a_{k} = a_{1} + (k - 1)\, d\).
In this question, \(a_{1} = 1\) and \(d = 8\) for this arithmetic sequence. The \(16\)th term of this sequence would be:
\(\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}\).
PLS HELP QUICK!!!!!!!!! 100 points.
The following is a list of movie tickets sold each day for 10 days. 7, 18, 23, 41, 34, 12, 48, 65, 57, 52 Which of the following intervals are appropriate to use when creating a histogram of the data?
A 0 – 9, 10 – 19, 20 – 29, 30 – 39, 40 – 50
B 0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74
C 0 – 15, 15 – 20, 20 – 35, 35 – 60, 60 – 75
D 0 – 20, 20 – 40, 40 – 60, 60 – 80
Answers
The interval that is the most appropriate for creating the histogram is: 0 – 9, 10 – 19, 20 – 29, 30 – 39, 40 – 50. Option A
How to find the best interval for the histogramIn order to get the best interval, we would have to check the distance that lies in the data from what the question has told us.
The tickets are sold each day for ten days. Hence we would have to look for the interval that lies between 10 days.
From the options we have here, option A is seen to lie between the distance of 10 days. 0 - 9 is 10 days e.t.c
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Answer:
0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74
Step-by-step explanation:
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
Answers
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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A map uses a scale of 1
cm = 5½ miles. In actual
distance, the entrances to
two parks are 24 miles
apart. How far apart are
they on the map?
Answers
Answer:
3.36 cm
Step-by-step explanation:
24 - 5 1/2 = 18.5
To find the distance on the map, we can set up a proportion:
1 cm / 5.5 miles = x cm / 18.5 miles
5.5 times 37/11 equals to 18.5; 1 times 37/11 is approximately equals to 3.36 cm (rounded to the nearest hundredths).
12 cm
16 cm
find the lateral area surface area is each regular pyramid round to the nearest 10th if necessary
Answers
Write 640 : 60 in the lowest form
Answers
Answer:
32 : 3
Step-by-step explanation:
Answer- 32 : 3
Divide Both Sides By 20
I really need help on this one, guys
Answers
Answer:
6.2 meters
Step-by-step explanation:
Use pythagorean theorem to find b:
b = √(2.8² - 2.7²) = √0.55 = 0.7 (nearest tenth)
Perimeter of triangle = sum of all its sides = 2.8 + 2.7 + 0.7
Perimeter = 6.2 meters
A pet store has 58 pounds of dry dog food in stock This is about 7 times the number of pounds of dry cat food that the store has in stock About how many pounds of dry cat food does the store have? Select the numbers that correctly complete the sentence. The store has between __ and __ pounds of dry cat food.
Answers
Answer:
The store has between 8 and 9 pounds of dry cat food.
Step-by-step explanation:
Dog food = 58 lb
Cat food = \(\dfrac{58}{7} \ \textsf{lb} = 8 \frac27 \ \textsf{lb}= 8.3 \ \textsf{lb}\)
The store has between 8 and 9 pounds of dry cat food.
(if the numbers are whole numbers)
The ratio of hotdogs sold to hamburgers sold was 10:7.
If 120 hotdogs were sold, how many hamburgers were sold?
Answers
Answer:84
Step-by-step explanation:
Answer:
84 hamburgers were sold