As per the equation of the circle, the center of the circle is (-1.6, -9.8) units, and its radius is approximately 5.10 units.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle, and r is the radius. By comparing the given equation with the standard form, we can easily identify the values of h, k, and r.
Comparing the given equation
=> (x + 1.6)² + (y + 9.8)² = 26
with the standard form, we find that h = -1.6 and k = -9.8.
These values represent the x-coordinate and y-coordinate of the center of the circle, respectively.
To find the radius, we need to take the square root of the constant term on the right side of the equation.
R² = 26
r = √26 ≈ 5.10 (rounded to two decimal places)
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Write the first six terms of the sequence.
ao = -5, An = 3an-1 + 12
Answer:
The first six terms of the sequence are -3, 3, 21, 74, 234 and 714
Step-by-step explanation:
Given the initial value a0 = -5 and the general form of the sequence given as An = 3an-1 + 12
To get the first six terms of the sequence, we will substitute for n=1 up to n= 6 in the general equation.
when n=1
A1 = 3a(1-1)+12
A1 = 3a0+12
A1 = 3(-5)+12
A1 = -15+12
A1 = -3
when n=2;
[tex]A2 = 3a(2-1)+12\\A2 = 3a1+12\\A2 = 3(-3)+12\\A2= -9+12\\A2= 3\\\\A3= 3a(3-1)+12\\A3= 3a2+12\\A3 = 3(3)+12\\A3= 9+12\\A3= 21\\\\A4= 3a(4-1)+12\\A4 = 3a3+12\\A4= 3(21)+12\\A4= 63+12\\A4 = 74\\\\A5= 3a(5-1)+12\\A5 = 3a4+12\\A5= 3(74)+12\\A5= 222+12\\A5 = 234\\\\\\A6= 3a(6-1)+12\\A6 = 3a5+12\\A6= 3(234)+12\\A6= 702+12\\A6 = 714\\[/tex]
The first six terms of the sequence are -3, 3, 21, 74, 234 and 714
Write 2x(3x) + 2x(5) in factored form.
Choose 1 answer:
A. 2x(3x + 5)
B. (2x)(3x)(5)
C. 6x^2+ 10x
Answer: a
Step-by-step explanation:
The expression 2x(3x) + 2x(5) is factored into 2x(3x + 5). Hence, the correct option is A.
The expression 2x(3x) + 2x(5) can be written in factored form by taking out the common factor, which is 2x. The factored form is 2x multiplied by the sum of 3x and 5, which is represented as 2x(3x + 5). This matches with option A of the choices provided.
If one factor of 21xy
3
2.2 2.
15x y is 3xy-, what is the other factor?
Answer:
if u answer my last question i will answer yours
Step-by-step explanation:
ps help me i ran out of points but pleaes
Answer:
a) 9^3 square root 13x. the exponents are the same so 4^3 and 5^3 become 9^3. just add the square roots since they have the same variable.
Step-by-step explanation:
Please help me with my math question
I will give brainliest!!!!!
Answer:
approx. 13.33%
Step-by-step explanation:
12 divided by 90 is 13.33333333333333 that goes on forever so just cap it at 13.33
please mark brainliest :)
Answer:
13%
Step-by-step explanation:
see how may time 12 can convert
Use a net to find the surface area of the cylinder. Use 3.14 for π.
Step-by-step explanation:
Hope this helps you with this question
The surface area of the cylinder has a radius of 2 cm and a height of 5 cm is 62.8 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
The surface area of the cylinder is given as
[tex]\rm Surface \ area = 2 \pi rh[/tex]
We have
r = 2 cm
h = 5 cm
Then the surface area will be
[tex]\rm Surface \ area = 2 \times 3.14\times 2\times5\\\\Surface \ area = 62.8 \ cm ^2[/tex]
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Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?
You have to make sure you follow this step by step
Step-by-step explanation:
Step 1: Subtract 4x from both sides
[tex]2x^2 - 4x = 4x - 4x - 7[/tex]
[tex]2x^2 - 4x = -7[/tex]
Step 2: Add 7 to both sides
[tex]2x^2 - 4x + 7 = -7 + 7[/tex]
[tex]2x^2 - 4x + 7 = 0[/tex]
Step 3: Use the Quadratic Formula
[tex]x = \frac{ -b \pm \sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x = \frac{ -(-4) \pm \sqrt{(-4)^2 - 4(2)(7)} }{ 2(2 )}[/tex]
[tex]x = \frac{ 4 \pm \sqrt{-40} }{4}[/tex]
[tex]x = \frac{4 \pm2i \sqrt{10} }{4}[/tex]
[tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]
Answer: [tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]
Explain when the median of a data set is a better
measure of center than the mean.
Answer:
SAMPLE ANSWER
Step-by-step explanation:
When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.
The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The median and mean are both measures of central tendency used to describe the center of a data set.
The mean is the sum of all the values in a data set divided by the total number of values, while the median is the middle value when the data set is ordered from least to greatest.
The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.
For example, in a data set where one or a few very large or very small values are present, the mean will be influenced by these values, and will not be representative of the central tendency of the data set as a whole.
In such cases, the median is a more appropriate measure of the center as it is not influenced by outliers and better represents the "typical" value in the data set.
Thus,
When a data set is skewed or contains outliers, the median is a better measure of the center than the mean.
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Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4
Answer:
60
Step-by-step explanation:
solve the following system x=3 y=3x-1
Answer:
x = 3
y = 8
Step-by-step explanation:
Since it gives you x, you need to plug in the number given for it into the equation:
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
So now you have, x = 3 and y = 8
PLEASE HELP I NEED ANSWER!!
Answer:
49 pie or 153.9
Step-by-step explanation:
A=pie r^2
A=pie×49
A=49 pie
please help. find the missing side
Answer:
x = 10
Step-by-step explanation:
This is because the formula of the area of a triangle is b x h divided by 2.
Since 8 is the base, you have to find what to multiply it by to get 80 (since 80 divided by 2 is the answer, 40).
80 divided by 8 is 10, therefore the base, or x, is 10.
You can put it in the formula to double check and it will equal 40.
Which expression is represented by the
phrase "the square of y decreased by
quotient of 36 and 6"?
Answer: y^2 - 6
Step-by-step explanation:
We are given the statement which is:
The square of y decreased by the quotient of 36 and 6
We need to get the mathematical expression for the question.
Power 2 is used for square and
The sign "/" is used for quotient or division.
The sign "-" is used to subtract or decrease.
Using the sign above,
Square of y = y^2
Quotient of 36 and 6 = 36/6
The square of y decreased by the quotient of 36 and 6 = y^2 - 36/6
= y^2 - 6
Therefore, the required expression is:
y^2 - 6
The phrase is y^2 - 6.
The phrase "the square of y decreased by the quotient of 36 and 6" translates to the mathematical expression y2 - (36 / 6). This expression involves two operations:
Finding the square of y, which is y multiplied by itself (y2).Calculating the quotient of 36 and 6, which is 36 divided by 6, resulting in 6.Then, you decrease the square of y by this quotient, which gives you the final expression y2 - 6.
PLEASEE HELP!!!!30 POINTS
Charles plots the point with the polar coordinates (−5,−3π/4). How does he plot this point?
Charles first determines which line the angle of rotation places the point on. This line tells Charles that the point must lie in _____ a if r is positive or ____ if r is negative.
The radius of 5 tells Charles that the point lies on the fifth circle of the polar plane. The value of r is negative. Therefore, the point will lie _____ the angle of rotation.
Answer:
This line tells Charles that the point must lie in Quadrant 3 if r is positive or Quadrant 1 if r is negative.
The value of r is negative. Therefore, the point will lie in the opposite quadrant as the angle of rotation.
Step-by-step explanation:
With polar coordinates the first value represents the distance from the origin and the second value represents the rotation from 0. In this case the distance from the origin value is negative, which means it will be in the opposite quadrant to the angle of rotation.
(-5, −3π/4) results in the same point as (5, π/4)
A rotation of −3π/4 results in the same rotation as 5π/4
The rotation results in Quadrant 3 but because the distance value is negative the final resulting point is in Quadrant 1.
Using n as the variable for the problem, solve for n.
Hosting a party for 24 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. n> 6
B. n<_5
C. n>_5
D. N>_6
Answer:
b
Step-by-step explanation:
thats the answer ^^^
Answer: n=6
Step-by-step explanation:
(24 divided by 8)x2
Solve equation. Justify your answer by checking your solution. -5(3m+10)+4m=126 someone please help I'm taking the unit 2b test I'm in 8th grade pass help !!
Answer: M = -16 hope this helps!!!!
Step-by-step explanation:
Sari drove 167 miles on the first day of her two-day trip. She drove 21 fewer miles the second day of her trip. What is the total number of miles that Sari drove on her trip?
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .
Answer:
First, you have to simplify the inequality and solve for x.
x + 2x + 6 < 50
3x + 6 < 50
3x < 44
x < 14 2/3
So, you now have another set of numbers, {13, 14, 15, 16, 17}, and you know x must be smaller than 14 2/3. The only two numbers in that set that works are 13 and 14, making A: {13, 14} the correct answer.
The only choice that fits is A.
If the endpoints AB of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ? AB
Answer:
(4,3)
Step-by-step explanation:
The coordinate of midpoint of two end points (x1,y1) and (x2, y2) is given by
[tex]( \frac{x1 + x2}{2} \: \: \: \: \: \frac{y1 + y2}{2} )[/tex]
Here, x1=9 y1=8
x2=-1 and y2=-2
So the midpoint of AB is
[tex]( \frac{9 + ( - 1)}{2} \: \: \frac{8 + ( - 2)}{2} \: )[/tex]
[tex] (\frac{9 - 1}{2} \: \: \frac{8 - 2}{2} \: \: ) \\ ( \frac{8}{2} \: \: \frac{6}{2} \: )[/tex]
(4,3)
Answer and Step-by-step explanation:
Need help... just part b
Answer:
I remember isosceles from the I sounding like eye and we have 2 eyes.
An isosceles triangle has two sides that are the same. We know the sides are the same because of the picture and if we subtract the angles 80 + 50 = 130 180-130=50 so that means that both A and C are 50 degrees so the triangle is isosceles.
My grammar isn't the best so you can make some edits but overall basically there are two sides that are the same.
Step-by-step explanation:
Which equation is represented by the graph below?
y= e^x +5
y= e^x +5
y= In x+4
y= ln x+5
Answer:
C) y= In x+4
Step-by-step explanation:
Took the test and got it right. Hope it helps
Answer: B
Step-by-step explanation:
on edg
Which function is graphed below?
Answer:
f(x)=cos(x)
The amplitude is equal to 1. The period is 2π.
Solving systems of equations algebraically.
y = -3x + 4
y= 1
And SHOW YOUR WORK PLEASE!!!!
Answer:
x = 1
y = 1
Step-by-step explanation:
Since it gives you the value of y already, all you need to do is plug it into the equation, like so:
y = -3x + 4
1 = -3x + 4
Now, subtract 4 from both sides:
1 = -3x + 4
-4 - 4
________
-3 = -3x
Finally, divide both sides by -3:
-3 = -3x
1 = x
So now you have, x = 1 and y = 1.
Estimate the length. Then use cubes to measure
Answer:
10 cubes
Step-by-step explanation:
Find the distance between points A(5, 4) and B(2, 0)
Answer:
The distance between point A and point B is 5 units
Let f(x)=x2+6x+11 . What is the minimum value of the function? Enter your answer in the box.
Answer:
(
3
,
−
2
)
Step-by-step explanation:
Answer:
the answer is 2
Step-by-step explanation:
took the test
Which expression has the largest coefficient. Will mark brainliest. Plz include explanation.
Answer:
Expression 3
Step-by-step explanation:
State that a coefficient is a multiplicative factor, is a number in front of a variable, in some term of a polynomial.
The coefficients of the expression 3, for example, are 3, 7 and 24.
Expression 3 has the largest coefficient which is 24.
What is Expression?An expression is combination of variables, numbers and operators.
The given expressions are
Expression 1:
x+12y²+13y+30
Expression 2:
2x+14y²+11y+13
Expression 3:
3x+7y⁴+24y+12
Expression 4:
4x+13y⁵+12y+11
In the first expression the coefficients are 1,12,13.
Coefficients in 2 nd expression are 2,14,11
Coefficients in 3 rd expression are 3,7,24.
Coefficients in 4 th expression are 4, 13, 12.
By observing all the expressions we find that 24 is the largest coefficient.
24 is the coefficient of third expression.
Hence, Expression 3 has the largest coefficient which is 24.
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Which statements about this figure are true? Select all
that apply
It is a triangular pyramid.
It is a rectangular pyramid.
It is a triangular prism.
It has 5 vertices.
It has 5 edges
It has 5 faces
Answer:
b , d, f
Step-by-step explanation:
on edge
The statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces
What is a triangular pyramid?Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid
What is a rectangular pyramid?Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.
What is a triangular prism?Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.
What are vertices, faces and edges?Faces are planar mathematical objects. Like a triangle, a rectangle etc. Edges are those line segments, which are on the edge of the faces (of some object considered).
Vertices are points of intersections of different edges.
The missing figure is attached below.
It consists of 3 rectangles joined edge to edge, and have two triangular ends in the shape they form, thus, making a triangular prism.
There are 6 vertices of a triangular prism, here for this figure, they're named as A,B,C,D,E,FThere are 9 edges of that object AB, AC, AE, BF, BC, CD, ED, FD, EFThere are 5 faces (2 triangles and 3 rectangles). ABC, DEF, ACDE, BFEA, BCFDThus, the statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces
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Use a number line to name two numbers that are the same distance apart as 3.2 and 4.4.
Answer:
3.3 and 4.5
Step-by-step explanation:
Answer:
1.2 and 2.4
Step-by-step explanation:To find the distance between the two you subtract the lesser number from the number with a higher value. In htis case, that'd be 1.2. From there you can use any number let's say 5 and add 1.2 to it, 6.2 and you'd have your two numbers, 5 and 6.2.
Please help for 19 points if good enough
Answer:
X and triangle
A polygon is anything with straight lines and no holes
Step-by-step explanation:
Answer:
the x and triangle are polygons.