A circle on a coordinate plane is centered at the beginning ordered (1, 3). The equation of the circle is x²+y²-2x-6y-26=0
What is the equation of the circle with radius r units, centered at (x,y)?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
A circle on a coordinate plane is centered at the beginning ordered (1, 3).
The horizontal x-axis ranges from negative 10 to 10 increments of 1. and the vertical y-axis ranges from negative 10 to 10 in increments of 1.
The equation of the circle is
[tex]x^2+y^2-2x-6y-26=0[/tex]
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I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!
Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 miles per hour. the other ship travels on a bearing upper n 75 degrees upper e at 12 miles per hour. how far apart will the ships be after 2 hours?
L'shanda can choose between 3 sweaters and 4 skirts. if she selects 1 sweater and 1 skirt, how many possible outcomes are in the sample space answer
We have been given that L'shanda can choose between 3 sweaters and 4 skirts.
We need to figure out the number of ways in which L'shanda can pick 1 sweater and 1 skirt out of the available items.
We need to use combinations here. First of all, we will figure out the number of ways of choosing 1 sweater out of 3 available sweaters. And then we will determine the number of ways of choosing 1 skirt out of 4 available skirts.
Number of ways of choosing 1 sweater = [tex]_{1}^{3}\textrm{C}=\frac{3!}{2!1!}=\frac{3\cdot 2!}{2!} = 3[/tex]
Number of ways of choosing 1 skirt = [tex]_{1}^{4}\textrm{C}=\frac{4!}{3!1!}=\frac{4\cdot 3!}{3!} = 4[/tex]
Therefore, total number of ways to select 1 sweater and 1 skirt are [tex]3\cdot 4 = 12[/tex]
the perimeter of a rectangular parking lot is 190 meters. the width is one fourth the length. write a system of equation for this scenario
Final answer:
To write a system of equations for the scenario, assign variables to the length and width of the rectangular parking lot. Use the information given to create two equations.
Explanation:
To write a system of equations for this scenario, let's start by assigning variables to the length and width of the rectangular parking lot. Let's say the length is represented by 'L' and the width is represented by 'W'. According to the given information, the width is one fourth the length, so we can write the equation:
W = (1/4)L
The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter is given as 190 meters, so we can write the equation:
2L + 2W = 190
Now we have a system of equations:
W = (1/4)L
2L + 2W = 190
These are the equations that represent the given scenario.
Two jets leave Dallas at the same time and fly in opposite directions one is flying west 50 mph faster than the other another two hours the Jets are 2500 miles apart find the speed of the jet
Use the difference of squares theorem to find the solution of the following equation:
v^2 = 252
How can operations of polynomials be used to create new polynomial models? Provide real world examples of when it is necessary to add, subtract, multiply, or compose polynomials to get a new polynomial that model real situations.
Answer with explanation:
When we add, subtract or multiply or in some cases division is done between two or more Polynomials then we can get new polynomials.
This can be explained in following way
[tex]1.\rightarrow (x^3+x^2+3x+4) +(x^4+5x+6)\\\\=x^4+x^3+x^2+8x+10\\\\2.\rightarrow (x^3+x^2+3x+4) -(x^4+5x+6)\\\\=-x^4+x^3+x^2-2x-2\\\\3.\rightarrow (x+2)\times x^2\\\\=x^3+2x^2\\\\4.\rightarrow \frac{x^3+2x^2}{x}\\\\\rightarrow x^2+2x[/tex]
Real world Situation
There is a large enclosed room .We want to place bulbs in ceiling.To do that,we draw few straight lines that is Linear polynomial columnwise and then we have drawn Linear polynomial Row wise.The point of intersection of these lines gives the points where the bulbs should be fixed.Now ,if we join these points where the bulb is placed we will get a new polynomial.
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question:
(graph of 2x cubed plus x squared minus 3x plus 1)
What is the average rate of change from x = −1 to x = 1?
−1
1
2
4
We have been given a polynomial [tex]f(x)=2x^{3} +x^{2}-3x+1[/tex] and we are asked to find average rate of change from x = −1 to x = 1.
First of all we will find f(-1) and f(1).
[tex]f(-1)=2\cdot (-1)^{3} +(-1)^{2}-3(-1)+1[/tex]
[tex]f(-1)=2\cdot (-1) +1+3+1[/tex]
[tex]f(-1)=-2 +5=3[/tex]
Let us find f(1),
[tex]f(1)=2\cdot (1)^{3} +(1)^{2}-3(1)+1[/tex]
[tex]f(1)=2\cdot 1 +1-3+1[/tex]
[tex]f(1)=2+1-3+1[/tex]
[tex]f(1)=4-3=1[/tex]
Now let us find slope for our values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{f(1)-f(-1)}{1-(-1)}[/tex]
[tex]m=\frac{1-3}{1--1}[/tex]
[tex]m=\frac{-2}{1+1}[/tex]
[tex]m=\frac{-2}{2}=-1[/tex]
Therefore, average rate of change from our given x values will be -1.
A pizza has a circumference of 16 pie and the slices are cut at 24 degree angles.
a. What is the length of the crust of one slice of pizza?
b. What is the area of one slice?
c. If the radius was doubled what would be the area of one slice of te similar pizza?
what numbers are divisible by 810
A , O and B lie on a straight line segment
Evaluate x the diagram is not drawn to scale
The value of x from the given diagram is; 36°
Sum of angles on a straight line.The sum of angles on a straight line is 180°.
In this scenario, the sum of angles on the straight line: AOB is 180°.
Therefore, we have
3x + x + x = 180°5x = 180x = 36°
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The perimeter of a rectangle is 22 ft and the area is 24 ft what is the length and width
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
The values of x and y in parallelogram DEFG are:
x = 35y = 20Given:
DH = HF and GH = HE
We have the following equations according to the given condition.
x + 5 = 2y ...(1)
3x - 1 = 5y + 4 ...(2)
From equation (1), we can express x in terms of y:
x = 2y - 5 ...(3)
Substitute this value of x in equation (2):
3(2y - 5) - 1 = 5y + 4
Simplify and solve for y:
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute y = 20 in equation (3) to find x:
x = 2(20) - 5
x = 40 - 5
x = 35
Therefore, the values of x and y in parallelogram DEFG are:
x = 35
y = 20
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In an orienteering competition, Jada walks 70 degrees north of west for 200 meters. She then walks due east for 90 meters. How far and at what bearing is Jada from her starting point?
Answer:
N55.0679°W
Step-by-step explanation:
Check the attachment for detailed explanation.
Jason eats 10 ounces of candy in 5 days. a. How many pounds does he eat per day?
b. How long will it take Jason to eat 1 pound of candy?
What is the probability of getting a number greater than or equal to 2 when rolling a number cube number 1 to 6
the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
When rolling a fair number cube (also known as a fair six-sided die), each face has an equal probability of showing up. Since there are 6 faces numbered 1 to 6, the probability of getting any specific number (including 2) on a single roll is [tex]\( \frac{1}{6} \)[/tex], assuming the die is fair.
To find the probability of getting a number greater than or equal to 2, we can count the favorable outcomes (rolling a number 2, 3, 4, 5, or 6) and divide by the total possible outcomes (which is 6 for a fair six-sided die).
Favorable outcomes: 2, 3, 4, 5, 6 (total of 5 numbers)
Total possible outcomes: 6 numbers
So, the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
A researcher reports that mean ratings of liking for some food are m = 0.8, sd = 2.4. if the null hypothesis was that the mean equals 0, then what is the effect size for this test using estimated cohen's d?
write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!
m=-3, (-2,1)
The perimeter of a rectangle is 108 inches. the rectangle is 34 inches long. how wide is it?
20 POINTS!
Find P(4).
I don't know or understand how to do this.
The calculated value of the probability of 4
How to determine the probability of 4From the question, we have the following parameters that can be used in our computation:
The spinner
Where, we have
Sections = 8
Also, we have
Sections that read 4 = 1
Using the above as a guide, we have the following:
P(4) = 1/8
Hence, the probability of 4 is 1/8
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Describe the number of solutions for each system of equations graphed
below
1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x - 4. What is the length of AB?
2. Point E lies on line DF. DE is represented by the expression 2x - 8. EF is represented by the expression 2x - 4. If DF = 36 inches, what is the length of DE? What is the length of EF?
please help but only answer if you're going to show work please!!!!
A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?
(x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9
The equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
After reflect a point over the line y = -1, we need to use the formula ;
(x,y) → (x, -y - 2).
Hence, We can apply this formula to each point on the circle and simplify to get the equation of the image circle:
(x + 4)² + (y - 3)²= 9
(x + 4)² + (-y - 2 - 3)² = 9
(x + 4)² + (y + 5)² = 9
So, the equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
Therefore, the correct option is,
(C) (x + 4)² + (y + 5)² = 9.
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Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).
What is 5.1 x 10^-1 as an ordinary number?
Answer:
0.51
Step-by-step explanation:
10^1=divide by 10
5.1/10=0.51
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
The equation of the circle is given by (x-h)^2 + (y-k)^2 = r^2 where (h,k) represent the center of the circle and r represents the radius
From the question , we have been given (h,k) = (2,-5) and r =12
(x-2)^2 + (y-(-5))^2 = 12^2
The two minuses in the second term cancel out and give a plus. (-*- = +)
(x-2)^2 + (y+5)^2 = 144
So, the equation of the circle is:
(x-2)^2 + (y+5)^2 = 144 (Option A)
Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x - 1 = 0
-2x+4y=-8 which graph models the equation
Hadmids will start at 11:00A.M., but the players must arrive at the field three-quarters of an hour early to warm up. The game must end by 1:15 P.M. Hadmid say he has to be at the field at 9:45 A.M is hadmid correct? Explain your answer.