A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?
Answer:
The radius is 4 units, and the equation of the circle is:
(x - 3)^2 + (y + 5)^2 = 16
Step-by-step explanation:
A circle centered at the point (a, b) and with a radius R, is written as:
(x - a)^2 + (y - b)^2 = R^2
In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:
(-1, -5) and (7, - 5)
The distance between these points is the diameter of the circle.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)
Then in this case, the distance between the known points is:
D = √( (7 - (-1))^2 + (-5 - (-5))^2)
D = √( 8^2) = 8
The diameter of the circle is 8
Then the radius is:
R = 8/2 = 4
the radius is 4.
Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:
(-1 + 4, -5) = (3, -5)
or
(7 - 4, -5) = (3, -5)
Then the center of the circle is the point (3, -5) and the radius is R = 4
The equation of the circle is:
(x - 3)^2 + (y - (-5))^2 = 4^2
(x - 3)^2 + (y + 5)^2 = 16
What is the probability of spinning pink and rolling an odd number?
Answer:0.625 for pink and 50% for an odd number
Step-by-step explanation:
Solve this system of equations by using the elimination method. 2x - 2y = 2. 5x + 2y = 12 (2, [?])
Answer:
(2,12)
Step-by-step explanation:
mathpapa
Answer:
(2,1)
Step-by-step explanation:
What is the positive coterminal angle of -300?
Answer:
-60
Step-by-step explanation:
=angle -360°*{angle/360}
=300-360*300/360
=-60
HELP PLEASE!! a space station orbits earth at a rate of 57 miles every 3 seconds
Write the space stations rate of change
Answer:
i think its every 90 minutes but I could be wrong.
Step-by-step explanation:
Please help I will give brainliest to the first correct answer!!!
Solve this equation for x. Round your answer to the nearest hundredth. 7 = ln(x + 3)
how do you make 10 out of 5 and 1/2
Answer:
10/5/1/2
Step-by-step explanation:
Rewrite 2 × 4 6 as the product of a unit fraction and a whole number. Can anyone tell me the answer so I can learn how to solve this problem?
Answer:
78.000
Step-by-step explanation:
do it ur self
Answer:
8 x 1/6
Step-by-step explanation:
2 x 4/6 as a multiplication of a whole number and a unit fraction.
First off lets find 2 x 4/6
2 x 4/6 = 8 /6
Ok, now lets go back to the original equation.
2 x 4/6
divide 4/6 by 4 to get a unit fraction
A x 1/6
Divide 8/6 by 1/6 = 8
Or you can do A (previously known as 2) by 4 because we divide 4/6 by 4
A = 2x4 = 8
8 x 1/6 = 8/6
Correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Need help with school
Melissa built a square pyramid out of sand. The base of the pyramid has a side length of 18 centimeters. The height of the pyramid is 26
centimeters.
What is the volume of the pyramid?
A. 624 cm3
B. 1,872 cm
C. 2, 808 cm
D. 4,212 cm
E. 8, 424 cm
Answer:
C. 2, 808 cm^3
Step-by-step explanation:
Given that
The base of the pyramid is 18 centimeters
And, the height of the pyramid is 26 centimeters
We need to find out the volume of the pyramid
As we know that
The volume of the pyramid is
= 1 ÷ 3 × base^2 × height
= 1 ÷3 × 18^2 × 26
= 2,808 centimeter^3
Hence, the correct option is c.
What is the value of x for this triangle.
Answer:
13
Step-by-step explanation:
you have to use Pythagorean Theorem which is
(a^2) + (b^2) = (c^2)
where a and be are the legs 45° from each other and c is the hypotenuse.
so just plug in the numbers
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
now square root both sides to get rid of the square on c
root(169) = root(c^2)
13 = c
CAN SOMEONE PLS HELP I NEED THIS ASAP
Answer:
its 12
2×72=x^2
Step-by-step explanation:
i will sent the Formula in picture
Plz help with this I don’t know what to do
Answer:
Just guessing here but would the bottom be 4,8,12,16,20 maybe since it is going by 4 then you do the same for the top since it is going by 3
Step-by-step explanation:
Answers:
Row One: 9, 15Row Two: 8, 16, 20Input the numbers only in each box. So that means you won't type in a comma.
The least common denominator is 12
=======================================================
Explanation:
Your teacher wants you to list the multiples of each denominator.
The multiples of 3 are: 3, 6, 9, 12, 15The multiples of 4 are: 4, 8, 12, 16, 20The values in bold are what will go in the boxes in those first two rows.
The least common denominator is 12 because it is the smallest thing found in common in the two lists above. In other words, 12 is the LCM (least common multiple) of 3 and 4. Note how 3*4 = 12. This works because 3 and 4 do not have any common factors between them other than 1.
The LCD (least common denominator) is the LCM of the denominators. The LCD is useful for when you want to add or subtract fractions. The denominators must be the same for you be able to add or subtract them.
Which of the following is an example of a biotic limiting factor for a population?
A) water availability
B) climate
C) disease
D) natural disasters
Answer:
I don’t know. I think disease
Step-by-step explanation:
Answer
I think A is the answer
step by step explain
What is the distance between (-2,-8)(7,-3)
Answer:
[tex]\sqrt{106}[/tex] or 10.29563
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer:
[tex]\displaystyle d = \sqrt{106}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-2, -8)
Point (7, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]Mary needs to memorize words on a vocabulary list for German class. She has memorized 24 of the words, which is three-fourths of the list. How many words are on the list?
Step-by-step explanation:
(3/4)x=24
3x/4=24
3x=24×4
x=(24×4)/3
x=32
A cake weighs 215 g and is shared equally between five people. What weight of cake does each person receive?
Answer: 43 g
Step-by-step explanation: For 215 to be divided equally between five people the equation should be set up as 215/5, which equals 43 g for each person.
Im really struggling with this, i need A on this test please help me!
Question 4 options:
The volume of the square pyramid is ___ cubic centimeters.
The volume of the square pyramid is 600cm^3
In a class the ratio of boys to girls is 4:3 30% of the boys are left handed.
What fraction of all the people in the class are left handed boys?
6/35 fraction of people in the class are left handed
What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Let the total no. of students in a class be x
then no. of boys in the class be 4x/7
no.of girls in the class be 3x/7
left handed boys =30%of 4x/7
= 3/10x 4x/7
=6x/35
Therefore, 6/35 fraction of people in the class are left handed
Learn more about ratio and proportions,
https://brainly.com/question/2328454
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A restaurant manager recorded the number of orders for each of the four drinks available. The results are shown in the table below.
Determine whether the statement below is true or false
About 16 of the next 50 drink orders will be for water.
PLEASE HURYY 25 POINTS
Answer:
Answer: about 14
Work Shown:
Add up the values in the table:
170+135+150+145 = 600
There are 600 orders in total. Of those 600, we have 135+145 = 280 that are for lemonade or for orange juice. This means roughly 280/600 = 0.4667 of all the drinks are either lemonade or orange juice.
Assuming this ratio keeps up, we can multiply 0.4667 with 30 to get
30*0.4667 = 14.001 which rounds to 14
This represents the estimated number of drinks in the next 30 orders that are either lemonade or orange juice.
THIS IS NOT MY WORK SO DON"T COME FOR ME PLEASE!!!!!!!!!!!!
Step-by-step explanation:
Mark me brainliest please
Which is the solution set of this equation? |x – 6| = 15 A. {-9, 21} B. {-15, 15} C. {9, 21} D. {-9, -21} E. {-6, 6}
Answer:
A. -9, 21
Step-by-step explanation:
Use m.a.t.h.w.a.y and you will get the answer!
Answer:
A
Step-by-step explanation:
| x-6| = 15 , check if this is true for the given x values
for x= -9 we have | -9-6| = 15 true
for x= 21 we have | 21 -6| = 15 true
so A is a solution set
for x= -15 we have | -15-6| = 15 false
so B is not a solution set
for x= 9 we have | 9-6| = 15 false
so C is not a solution set
for x= -9 we have | -9-6| = 15 true
for x= -21 we have | -21-6| = 15 false
so D is not a solution set
for x= -6 we have | -6-6| = 15 false
so E is not a solution set
Another name for rate of change is slope.
true or false.
Answer:
True
Step-by-step explanation:
Answer:
True!
Step-by-step explanation:
“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.
PLEASE HELP
Find the next four range terms of each arithmetic sequence. Then graph the sequence.
(5,5), (10, 8), (15, 11), ...
write an equation that models the linear relationship in the graph?
A.y=4x + 4
B.y=(1/4) + 4
C.y=-(1/4) - 4
D.y=-4x - 4
♡LOTS OF POINTS TO RIGHT ANSWER♡
------Find the surface area of the figure, round your answer to the nearest hundredth if necessary <3
5.1 in
1 in
Answer:
[tex]\approx19.16[/tex]
Step-by-step explanation:
To find the surface area of a cone, one uses the following formula,
[tex]A=(\pi)(r)(r+\sqrt{h^2+r^2}})[/tex]
Where (r) is the radius of the base of the cone, and (h) is the height of the cone, ([tex]\pi[/tex]) represents the numerical constant (3.1415...). In order for this formula to work, one needs the height of the cone. This can be found using the Pythagorean theorem. One can form a right triangle with the base's radius, the side length, and height of the cone, then solve for the height of the cone. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+(1)^2=(5.1)^2[/tex]
Simplify,
[tex]a^2+1=26.01[/tex]
Inverse operations,
[tex]a^2=25.01\\a\approx5[/tex]
Now one can use the formula to find the surface area of a cone, substitute in the given values, and solve,
[tex]A=(\pi)(r)(r+\sqrt{h^2+r^2}})[/tex]
Substitute,
[tex]A=(\pi)(1)(1+\sqrt{5^2+1^2}})[/tex]
[tex]A=(\pi)(1+\sqrt{25+1})\\A=\pi(1+\sqrt{26})\\A\approx 19.16[/tex]
Find the volume of a right circular cone that has a height of 5.2 m and a base with a
radius of 15. 3 m. Round your answer to the nearest tenth of a cubie meter.
Answer:
1274.7 cubic meters
Step-by-step explanation:
Because the equation to find volume of a cone is V = πr²(h/3), you would have to plug in your values which are h = 5.2m, and r = 15.3m. Once you do the math you will get 1274.72 cubic meters, or 1274.7 when rounded to the nearest tenth.
math help pls i don’t understand how to solve this
===================================================
Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
i need help asap RIGHT ANSWERS ONLY PLEASE !!!!!!’n
Answer:
hey, the answer is 9π m²
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π.
Answer:
188π in^2
Step-by-step explanation:
Surface area of the rocket = surface area of the cone + surface area of the cylinder
Surface area of a cone = πr(r+h^2+r^2)
r = 8/2 = 4 in
4π( 4 + 3^2 + 4^2) =
4π ( 4 + 9 + 16) = 116π in^2
Surface area of a cylinder = 2πrh+2πr^2
(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2
116 + 72 = 188π in^2