The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle contains the point (–2, 8) and has a center at (4, 0), hence:
[tex]radius=\sqrt{(0-8)^2+(4-(-2))^2}=10\ units[/tex]
The equation is:
(x - 4)² + (y - 0)² = 10²
(x - 4)² + y² = 10²
The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ4
Answer:
A
Step-by-step explanation:
the first one is the answer
The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n represent the number find the number
Answer:
n = 2 + (60/2)
Step-by-step explanation:
What is x? I need answers
What is the area of ΔABC to the nearest tenth of a square millimeter?
Answer:
601sqmm
Step-by-step explanation:
1/2 x AB x AC x sin(79)
= 1/2 x 35 x 35 x sin(79)
= 601.24 sqmm
PLEASE HELP FAST IM GONNA GET GROUNDED
Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7, 5, 3, 4, 1, 9}
**Note - There are 3 answers. You must select 3 answers.**
The theoretical probability of spinning an odd number is equal to ______. The experimental probability of spinning an odd number is equal to ______. Therefore, the theoretical probability of spinning an odd number is _____ the experimental probability of spinning an odd number.
Select 3 correct answer(s)
Question 7 options:
1/5
5/9
2/3
3/5
1/2
less than
greater than
The theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favorable outcome to the total expected number of outcome of that event.
Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. There are total 5 odd terms. Thus, the theoretical probability of getting odd in ten spins is,
P=5/9
P=0.556
The data of spin 10 times is:
{2, 4, 1, 8, 7, 5, 3, 4, 1, 9}
Here, the odd numbers are 6. Thus, experimental probability of spinning an odd number is,
P=6/9
P=2/3
P=0.667
Thus, the theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.
Learn more about the theoretical probability here;
https://brainly.com/question/8652467
#SPJ1
1. Each equation below represents a circle. Place its equation in standard form and then state the coordinates of its center and the length of its radius.
(a) x² + 8x + y2 – 2y = 8
(b) x2 - 6x + y2 - 20 y =12 -
(c) x2 –16x + y2 +10y+88 =
(d) y2 + x2 +8x = 84
Completing the squares, it is found that the center and the radius of the circles are given as follows:
a) The center is (-4,1) and the radius is 5.
b) The center is (3, 10) and the radius is 11.
c) The center is (8,-5) and the radius is 1.
d) The center is (-4,0) and the radius is 10.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Item a:
x² + 8x + y² - 2y = 8
Completing the squares:
(x + 4)² + (y - 1)² = 8 + 4² + 1²
(x + 4)² + (y - 1)² = 25
Comparing to the standard equation: The center is (-4,1) and the radius is 5.
Item b:
x² - 6x + y² - 20y = 12
(x - 3)² + (y - 10)² = 12 + 3² + 10²
(x - 3)² + (y - 10)² = 121
The center is (3, 10) and the radius is 11.
Item c:
x² - 16x + y² + 10y + 88 = 0
(x - 8)² + (y + 5)² = -88 + 8² + 5²
(x - 8)² + (y + 5)² = 1
The center is (8,-5) and the radius is 1.
Item d:
x² + 8x + y² = 84
(x + 4)² + (y - 0)² = 84 + 4²
(x + 4)² + (y - 0)² = 100
The center is (-4,0) and the radius is 10.
More can be learned about the equation of a circle at https://brainly.com/question/24307696
#SPJ1
a person borrows $12500 from a lender for 3 years at a rate of 10%.
find the simple interest.
[tex]\huge\boxed {\: I=\frac{PRT}{100}}[/tex]
First, we'll have to multiply the principal amount, rate of interest and time period.
[tex]12500 \times 10 \times 3[/tex]
[tex] = 375000[/tex]
Now, divide the amount ( 375000 ) by 100.
[tex] = \frac{375000}{100} [/tex]
= $3750
Hence, the simple interest is $3750
What is the slope of the line that passes through the points (2, 2) and (14, 2)? Write
your answer in simplest form.
Please I need help this assignment is due in 15-mins
Loretta's famous punch calls for 2 liters of mango juice. The only mango juice Loretta can find is sold in 200-milliliter cartons. How many cartons of mango juice does Loretta need to buy?
Answer:
10 cartons
Step-by-step explanation:
1 liter is equal to 1000 milliliters
We are looking for 2 liters of mango juice. So you would need 2000 milliliters of juice.
But the juice is sold in 200 milliliter cartons. So if you multiply 200 by 10, it should give you 2000.
Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.
Answer: 145
Step-by-step explanation: I say this because it has 14. 4 then
When solving inequalities, how do you know when to change the inequality symbol?
When you divide or multiply by a negative number, you must change the direction of the inequality sign. This is because of this rule of inequalities: As you can see, x is originally less than y. But, when it’s multiplied by a negative number, x becomes greater than y. That’s because smaller negative numbers are closer to 0, making them worth more.
Evaluate the expression for the given value
Answer: Choice C) 9/16
Reason:
Square the 3 up top to get 3^2 = 3*3 = 9
Square the 4 down below to get 4^2 = 4*4 = 16
At a sale, dresses were sold for $76 each. If the dresses originally cost $200 each,
what percentage of its original price was a dress sold for?
The percentage of dress was sold for 62% of its original price.
To find the percentage of the original price that the dress was sold for, we can use the formula for percentage change:
Percentage Change = (Change in Value / Original Value) × 100
In this case, the original value is the cost of the dress ($200), and the change in value is the difference between the original cost and the sale price ($76):
Original Value = $200
Sale Price = $76
Change in Value = Original Value - Sale Price
Change in Value = $200 - $76
Change in Value = $124
Now we can plug these values into the percentage change formula:
Percentage Change = (Change in Value / Original Value) ×100
Percentage Change = ($124 / $200) × 100
Percentage Change = 0.62× 100
Percentage Change = 62%
To know more about percentage here
https://brainly.com/question/32197511
#SPJ3
Seth took 30 inches of wire and cut it into
13 inch pieces. How many pieces did he
4
get?
Answer:
he go 2 full 13 in pecies 2.30
Step-by-step explanation:
PLEASE FAST IF I DONT PASS THIS I CANT GO TO PROM WILL GIVE BRAINLIEST!!!
Answer:
B or Number 2.
The expression 25−−√−21−−√ can be rewritten as 5−21−−√. Since the exact value of 21−−√ cannot be found, the difference is irrational.
B or Number 2.
The product of two irrational numbers is ___ (Sometimes) an irrational number.
Step-by-step explanation:
The product of two irrational numbers i never an irrational number
Answer:
C is the answer for the first one and sometimes is the answer for the second one.
Find the distance of an object moving at 6 m/s at 5 seconds. show your solution
Given Information :-
⠀
Speed = 6 m/sTime taken = 5 seconds⠀
To Find :-
⠀
The distance covered in that time interval⠀
Solution :-
⠀
We know that, the formula used to calculate distance , when we are provided with time and speed, is :-
⠀
[tex] ✤ \: \orange{ \underline{ \boxed{ \sf Distance = Speed \times Time}}} \: \star \\ \\ [/tex]
Thus, putting the given values, we will get,
⠀
[tex] \sf \hookrightarrow Distance = \dfrac{6 \: m}{s} \times 5 \: s \\ \\ \\ \sf \hookrightarrow Distance = \frac{6 \: m}{ \cancel s} \times 5 \: \cancel s \\ \\ \\ \sf \hookrightarrow Distance =6 \: m \times 5 \: \: \: \: \\ \\ \\ \sf \hookrightarrow Distance =30 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the distance covered in 5 second by that speed is 30 m.
⠀
[tex] \underline{\rule{227pt}{1.5pt}} \\ \\ [/tex]
A group of friends were working on a student film that had a budget of $600. They used $198 of their budget on props. What percentage of their total budget did they spend on props?
Giving brainliest!!!!!
Answer:
(7, -3)
Step-by-step explanation:
x-5
y+8
Inverse
12-5
-11+8
(7, -3)
What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 2.3 meters, and a height of 0.9 meters?
4.968 m³
9.936 m³
11.94 m³
34.86 m³
Answer:
9.936
Step-by-step explanation:
V = Bh
B = base
base = Lengh x width
base = 4.8 x 2.3
base = 11.04
V = 11.04h
H = height
H = .9
V = .9 x 11.04
V = 9.936
Answer:
9.936 m³
Step-by-step explanation:
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answer:
question 1: 24
question 2: (1/45)*(1/5)=(1/9)
Step-by-step explanation:
If you know the sine value for a given angle, how can you quickly find the cosecant value for that same angle?
Answer:
See below
Step-by-step explanation:
Remember the quotient identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so you need to take the reciprocal of the sine value for the given angle in order to get the cosecant value for that same angle.
The required value of cosecant of an angle can be found by taking the reciprocal of sine value.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
Suppose the sine value of an angle A is SinA,
Then, cosecant value can be written as CosecA.
These trigonometric ratios are reciprocal of each other.
Thus, it can be written as,
CosecA = 1/SinA
Hence, the value of cosecant of an angle can be found by taking the reciprocal of sine value.
To know more about trigonometric ratio click on,
https://brainly.com/question/25122825
#SPJ2
About how many moons can fit inside Earth?
Answer: I’m pretty sure 50 moons could fit inside the Earth.
Step-by-step explanation:
Hope this helps, and have a healthy and happy day. :)
What us the median of (14, 2, 4, 10, 4, 12. 8, 1)?
Answer:
= { 1, 2, 4, 4, 8, 10, 12, 14}
There are total 8 numbers in data. so,
two middle numbers are : 4, 8
= 4+8
= 12
now divide 12 with 2
= 6
So... the median of given set is 6.
Answer:
7
Step-by-step explanation:
since there are two middle numbers you add and divide them by 2
In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent Group of answer choices quantitative data either categorical or quantitative data categorical data since the numbers are sequential, the data is quantitative
The numbers on the mailboxes represent categorical data.
What is categorical data?Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.
To learn more about categorical data, please check: https://brainly.com/question/27763755
#SPJ1
What is the product?
(3x-5)(22-7x+1)
answer
1. expand the equation
3x(22-7x+1)-5(22-7x+1)
66x-21x²+3x-110+35x-5
104x-21x²-115
solve for the value of x :-
4(3+x)+x=x+4
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
[tex]\qquad \tt \dashrightarrow \: 4(3 + x) + x = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 12 + 4x+ x = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 5x + 12 = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 5x - x = 4 - 12[/tex]
[tex]\qquad \tt \dashrightarrow \: 4x = - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: x = - 8 \div 4[/tex]
[tex]\qquad \dashrightarrow \: \boxed{ \tt x = - 2 }[/tex]
Solve this system of linear equations. Separate the x- and y-values with a comma.
2x = 9x - 14y
9x = 40 - 14y
Answer:
x = [tex]\frac{5}{2}[/tex], y = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
1. Isolate for x in one of the equations:
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
2. Substitute 2y in for x in the second equation:
9(2y) = 40 - 14y
3. Simplify:
18y = 40 - 14y
4. Isolate for y:
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y = [tex]\frac{5}{4}[/tex]
5. Substitute the new y-value into the simplified expression x = 2y:
x = 2(5/4)
x = [tex]\frac{5}{2}[/tex]
hope this helps!
The largest pyramid at giza is a square pyramid. it has a base of 756 feet and a slant height of 612 feet. which represents the two-dimensional net of this pyramid? a rectangular pyramid. the rectangular base is 756 feet by 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. the triangles connect to the square by their points. 5 connected triangles with a base of 756 feet and height of 612 feet.
The two-dimensional net of this pyramid is the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet.
What is a pyramid?A square pyramid is a 3-dimensional shape with a square base and 4 triangular faces that are joined at a vertex.
The net of a pyramid is made up of one square and four triangles. The rectangle is the base of the pyramid, and the triangles are the lateral faces.
To learn more about rectangle pyramid, please check: https://brainly.com/question/9222686
#SPJ4
the answer is B, or #2. hope this helps. Edgen 2022.
Please helpppppppp I need asap
Answer:
80
Step-by-step explanation:
1) 37+63=100
2) 180-100= 80
Grapes are on sale for $0.98 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
Answer:6.93
Step-by-step explanation: Since we want to know how mush it costs, we have to multiply
1.98*3.5= 6.93
Step-by-step explanation:
I think the answer is$3.92 not sure..
Please Answer, No links! reporting right away!.. giving brainliest and more points!
PLEASE I NEED THIS
Answer:
A) 154x89 _s2
s
Step-by-step explanation:
A) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
sA) 154x89 _s2
s
