The center of circle P is at (-3, 8) and the radius is 12
units. Find its equation.
Answer:
The answer is
x² + y² + 6x - 16y - 71 =0Step-by-step explanation:
The equation of a circle is given by
( x - a)² + ( y - b)² = r²where ( a , b) is the center of the circle and
r is the radius
From the question the center is
P (-3, 8) and radius = 12
Substitute the values into the above formula and solve
That's
( x + 3)² + ( y - 8) = 12²
Expand the terms
That's
x² + 6x + 9 + y² - 16y + 64 = 144
Arrange the terms
x² + y² + 6x - 16y + 9 + 64 - 144 = 0
We have the final answer as
x² + y² + 6x - 16y - 71 =0Hope this helps you
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and I will message you to continue the game. Don't play if you are not going to continue.
Answer:
35 counting yourself.........34 not
Determine whether the lines are parallel, perpendicular or neither.
b
Line 1:2y−3x=0
Line 2:y+6x=−3
Answer:
Neither
Step-by-step explanation:
Although the lines intersect it is not at a 90° angle meaning it's neither perpendicular or parallel.
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was
7.5%, and the tax in the second city was 7%. The total hotel tax paid for the two cities was $547.50. How much was the hotel charge in each city before tax?
Answer:
let the hotel charge before tax for second hotel be x
then the hotel charge before tax for first hotel = x+1500
tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100
tax from second hotel= 7% of x = 7x/100
total tax = 547.50
7x/100 + (7.5x+11250)/100 =547.50
14.5x = 54750-11250
14.5x= 43500
x= 3000
hotel charge in first city = 4500
in second city =3000
Step-by-step explanation:
PLEASE HELP! 40 points!! I've been stuck on this for 30 minutes constantly coming up with all different answers, please help me.
What is the area of rhombus ABCD?
Enter your answer in the box. Do not round at any steps.
______units²
Answer:
36 units^2
Step-by-step explanation:
The area of a triangle is 1/2*base*height. Knowing this is just 2 triangles means you solve for 1 triangle, then multiply that by 2
Answer:
[tex]A=36\text{ units}^2[/tex]
Step-by-step explanation:
The area of a rhombus is given by the formula:
[tex]A=\frac{d_1\cdot d_2}{2}[/tex]
Namely, it is half of one diagonal multiplied by the other diagonal.
So, to find the area, we just need to find the length of AC and BD, multiply them together, and then divide by 2.
To find their lengths, we can use the distance formula. The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
So, let's find the lengths of each diagonal:
AC:
Point A is (-1,0) and Point C is (-1,-6). Let (-1,0) be (x₁, y₁) and let (-1,-6) be (x₂, y₂). Substitute this into our formula:
[tex]d=\sqrt{(-1-(-1))^2+(-6-0)^2[/tex]
Simplify:
[tex]d=\sqrt{(-1+1)^2+(-6-0)^2[/tex]
Add or subtract:
[tex]d=\sqrt{(0)^2+(-6)^2[/tex]
Square:
[tex]d=\sqrt{36}[/tex]
Take the square root:
[tex]d=6[/tex]
So, the length of diagonal AC is 6.
BD:
Point B is at (5,-3) and Point D is at (-7,-3). Let (5,-3) be (x₁, y₁) and let (-7,-3) be (x₂, y₂). Substitute this into our formula:
[tex]d=\sqrt{(-7-5)^2+(-3-(-3))^2[/tex]
Simplify:
[tex]d=\sqrt{(-7-5)^2+(-3+3)^2[/tex]
Add or subtract:
[tex]d=\sqrt{(-12)^2+(0)^2[/tex]
Square:
[tex]d=\sqrt{144}[/tex]
Take the square root:
[tex]d=12[/tex]
So, our second diagonal is 12 units long.
Now, to find the area, substitute 6 and 12 into our formula. So:
[tex]A=\frac{d_1\cdot d_2}{2}[/tex]
Substitute 6 for d₁ and 12 for d₂. So:
[tex]A=\frac{(6)(12)}{2}[/tex]
Multiply:
[tex]A=\frac{72}{2}[/tex]
Divide:
[tex]A=36\text{ units}^2[/tex]
So, the area of the rhombus is 36 squared units.
And we're done!
Notes:
Of course, instead of using the distance formula, you can also just count :)
which of the following is NOT true?
If the endpoints of a segment are (3,0), and (0, 3), the length of the segment is approximately 4.24 units.
If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.
The Pythagorean Theorem can be used to find the length of a segment.
The Distance Formula can be used to find the length of a segment.
Answer:
The answer is: If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.
Step-by-step explanation:
At a school there are six lessons in a day.
In total, the six lessons last for five hours.
Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Answer:
the answer is about 50 minutes
Step-by-step explanation:
5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins
perform the indicated operation (-2i+3i)+(-1-4i)
Answer:
-1 -3i
Step-by-step explanation:
It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.
(-2i +3i) +(-1 -4i) = i(-2+3-4) -1 = -1 -3i
Sonya has a books. Nick has 3 more books than Sonya. How many books do both children have together?
Answer:
[tex]2a+3[/tex] books
Step-by-step explanation:
Sonya -> [tex]a[/tex] books
Nick -> [tex](a+3)[/tex] books
Total: [tex]a+(a+3)=a+a+3=2a+3[/tex]
Please please help me on that.
Write in expanded form 51.242.
Answer:
50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]
Step-by-step explanation:
This is the answer because:
1) 50 and 1 equal to 51
2) The fraction forms of a decimal number is: the decimal number/the decimal number place value
3) Therefore, the answer is 50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]
Hope this helps!
Which linear equation has no solution?
36,700-(5,000+500m)=
-31200
5000 + 500 = 5500
5500- 36700 = -31200
Answer: 31, 200
Step-by-step explanation: First add 5,000 + 500m, then subtract 36,700 - 5,500 which equals 31,200
find the product of (4m-n)and (3m-2n)
(4m - n)(3m - 2n)
12m^2 - 8mn - 3mn + 2n^2
Let's combine like terms
12m^2 - 11mn + 2n^2
Answer:
12m^2+2n^2-11mn
Step-by-step explanation:
(4m-n)(3m-2n)
=12m^2-8mn-3mn+2n^2
12m^2+2n^2-11mn
Expanded form of 7050024
Expanded Notation Form:
7,000,000
+ 0
+ 50,000
+ 0
+ 0
+ 20
+ 4
Expanded Factors Form:
7 × 1,000,000
+ 0 × 100,000
+ 5 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 2 × 10
+ 4 × 1
Expanded Exponential Form:
7 × 106
+ 0 × 105
+ 5 × 104
+ 0 × 103
+ 0 × 102
+ 2 × 101
+ 4 × 100
Hope this helps? :))
Answer:7,00,000 50,000 20 4n
Step-by-step explanation:
catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner parties with varied numbers of guests. What is the cost to cater a dinner party with 90 guests?
Answer:
Your answer is B. #795. Hope this helps!
Answer:
B. $795
Step-by-step explanation:
solve: 3(2x+1)-2(x+5)-5(5-2x)=16 value of x?
Step-by-step explanation:
3(2x + 1) - 2(x + 5) - 5(5 - 2x) = 16
6x + 3 - 2x - 10 - 25 + 10x = 16
6x - 2x + 10x = 16 - 3 + 10 + 25
14x = 48
x = 48/14
x = 24/7
In science class, Sarah calculates the mass of a planet to be 918,000,000,000,000,000,000 kg. What is the mass of the planet in scientific notation? 91.8×1019 kg 9.18×10−20 kg 918×1018 kg 9.18×1020 kg
Answer:
Step-by-step explanation:
↘↘↘↙↙↖↗↙↖
Which number is not equal to one of the following expressions
Answer:150,000
Step-by-step explanation:
1500×10=15000
150,000÷100=1500
1500÷10=150
So 150,000 is not an answer in one the expressions
Answer:150,000
Step-by-step explanation:
Please help.
2/3x - 4 = -2
A) -3
B) -4
C) -9
D) 3
Answer:
D) 3carollnx talk me
............ that is the correct options
Answer:
D) 3be confident to answer any questions
2 – 1 + 5 x 4 x 11 Solve with PEMDAS
Answer:
221
Step-by-step explanation:
2-1+5*4*11
2-1+20*11
2-1+220
1+220
221
On the exam, Rebecca successfully created 20 out of 25 vases.
[tex]\text{Hello there! :]}[/tex]
[tex]\large\boxed{125 \text { vases}}[/tex]
[tex]\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}[/tex]
Answer:
125=_=_=
Step-by-step explanation:
hoped I helped
Help me solve step by step
Can someone please help this is my daughters homework
Answer:
its A
Step-by-step explanation:
SOMEONE HELP I NEED THE ANSWERS TO THIS PROBLEM
Answer:
Step-by-step explanation:
∠6 = 45 {Vertically opposite angles are equal}
∠6 + 5x + 35 = 180 {Co interior angles}
45 + 5x + 35 = 180 {add like terms}
80 + 5x = 180
5x = 180 - 80
5x = 100
x = 100/5
x = 20
5x + 35 = 5*20 + 35 = 100 + 35 = 135
∠8 = 5x + 35 { Corresponding angles}
3) ∠8 = 135
4) ∠ 3 = ∠6 {Alternate interior angles are equal}
∠3 = 45
5) ∠6 = 45
The formula d=rt is used to calculate the distance
an object travels over a period of time, t, at a
constant rate, r. Based on this formula, what is the
rate, r, in terms of d and t?
A) r = d/t
B)r = dt
C)r = t/d
D) r = r - t
6. How many 1/2 hour periods will make up 4 hours?
Answer: it will take 8 periods of 1/2 hour to make up 4 hours
Step-by-step explanation:
It will take 8 periods of 1/2 hour to make up 4 hours.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Half an hour is 30 minutes,
There are 60 minutes in an hour.
4 hours=240 minutes.
240/30 = 8
Hence, 8 periods of 1/2 hour to make up 4 hours.
Learn more about Arithmetic operations
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Tom, Kwasi, and Juan purchased a large pizza to share. If Tom ate of
the pizza, Kwasi ate of the pizza, and Juan ate of the pizza, what
fractional part of the pizza was eaten?
2. Tess picked 12 flowers on Monday morning In the afternoon she picked some more flowers. If Tess picked 27 flowers in all, how many did she pick in the afternoon?
3 x² - 2x-1=0
solve using quadratic formula
Answer:
The answer to your question: x is -1/3 or 1