What is the center of the circle
2x^{2} +2y^{2}-4x+16y=128
A. (1, -2)
B. (1, 4)
C. (1, -4)
D. (-1, -2)
E. (-1, -4
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k)are the coordinates of the centre and r is the radius
Given
2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )
x² + y² - 2x + 8y = 64 ( collect x and y terms together )
x² - 2x + y² + 8y = 64
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16
(x - 1)² + (y + 4)² = 81 ← in standard form
with centre = (h, k ) = (1, - 4 ) → C
A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.
What is Arithmetic ?
Answer:
Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Answer:
The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
Step-by-step explanation:
write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola
Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
The graph is sketched at the end of this answer.
The Factor Theorem states that a polynomial function with roots is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].Then:
[tex]f(x) = a(x - 2)(x - 2)[/tex]
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
[tex]5 = a(12^2 - 4(12) + 4)[/tex]
[tex]100a = 5[/tex]
[tex]a = \frac{5}{100}[/tex]
[tex]a = 0.05[/tex]
Hence, the parabola is:
[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
At the end of this answer, the graph with five points is sketched.
A similar problem is given at https://brainly.com/question/24380382
Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
En una panadería, con 80 kg de harina hacen 120 kg de pan. ¿Cuántos kilos de harina serían necesarios para hacer 360 Kg de pan?
Answer:
240 kg
multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg
how many three-digit positive integers have exactly two digits that are the same?
there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:
Step-by-step explanation:
I need this answer also. As fast as possible!!! Please please
Answer:
See below:
Step-by-step explanation:
The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.
So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].
So what we can do, is input 12 as n in the original function.
Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]
Using algebra, we can solve it and we get 11!
Cheers!
please help giving brainliest and big points it would be greatly appreciated :))
Answer:
X = 4 , Y = b , Z = 2a
Step-by-step explanation:
2b(2ab)² - a(2b²)² ← expand parenthesis
= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis
= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term
= 4ab³(2a - b)
Compare terms to XaY³(Z - b)
with X = 4 , Y = b , Z = 2a
Need help with this ASAP I’ll mark brainliest
Answer:
option 3
Step-by-step explanation:
The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then
(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )
. Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
Answer:
They do not make triangles.
Step-by-step explanation:
You automatically know that c is going to be the biggest number of each triangle since it is the largest side. So you would use both of these formulas:
a² + b² = c²
[tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]7^{2}[/tex] which is false
10² + 12² = 14² is false as well
Hope this helps!!
si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?
Answer:
ancho: 12 cm
Largo: 14 cm
Step-by-step explanation:
[tex]P=2a+2l[/tex]
[tex]l=a+2[/tex]
[tex]P=2a+2(a+2)=2a+2a+4[/tex]
[tex]P=4a+4[/tex]
[tex]52=4a+4[/tex]
[tex]52-4=4a[/tex]
[tex]48=4a[/tex]
[tex]48/4=a[/tex]
[tex]12=a[/tex]
largo = ancho + 2 = 12 +12 = 14 cm
Hope this helps
Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?
Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13
Answer:
13/ 14 the first one
Step-by-step explanation:
Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.
Answer:
54 marbles
Step-by-step explanation:
7+2=9(amount Eric had in all)
9×6=54
so in all, he bought 54 marbles which he shared among his friends and brother.
ANS:54 marbles
A warehouse stores thousands of marble slabs of different shapes, sizes, and materials that are used for construction projects. The manager wants to estimate the average weight of these slabs. The slabs are arranged in stacks that have about101010 slabs of different varieties. The manager wants to weigh a random sample of100100100 slabs.Why might the manager choose a cluster random sample instead of a stratified random sample in this setting?
Answer: Both B and C
B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.
C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.
Step-by-step explanation:
B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.
C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.
Which set of ordered pairs does not represent a function?
O {(-7, -8), (-7,5), (-6,0),(-1,8)}
O {(-2,4), (6,-5), (-6, -9), (1, -5)}
{(8, -2), (3,9), (-1, -5), (-3,9)}
{(9,7), (2,7), (-8, -3), (-1,1)}
Answer:(-7, -8), (-7,5), (-6,0),(-1,8)
Step-by-step explanation:
Functions are relations with one output (y) for any unique input (x).
The first set has two values of y when x = -7: -8 and 5.
The other sets have unique values for each x.
please help! with work please Zeroes of polynomials. will give brainliest!
Answer: 4k^2 - 9k - 9 = 0
Step-by-step explanation:
lmk if i was right please and ty
help please??????????????????
Answer:
-5 and 2
-2 and -1
-3 and 0
There is no shortcut to solving this type of problem. You just have to use trial and error.
:)
Answer:
-2+ (-3)
-5+ 0
-1+ (-2)+ (-2)
Hope this helps!
LMK if it does
1. Beth is buying 3 pounds of chicken thighs for $1.29 per pound. How much will she pay?
How many servings will the thighs provide?
Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87
The chicken thighs cost $1.29 per pound purchased.
The cost of 3 pounds is:
= Cost per pound x Number of pounds
Solving would give:
= 1.29 x 3
= $3.87
In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.
Find out more at https://brainly.com/question/21511823.
Which fraction and decimal forms match the long division problem? 15) 8.000 75, 50 45, 的一 5 O A. 8 and 0.53 15 O B. B. 15 and 0.53 8 O c. 15 and 0.533 8 O D. 8 and 0.53 15
Answer:
The correct answer is AAAA
Answer:
A.
[tex] \frac{8}{15} and \: 0.53[/tex]
You spin the spinner once. What is P(factor of 90)?
Answer:
1
Step-by-step explanation:
d5 7yvjn3f5crc6tv6tvt7gv7g
Please help and no links;)
Answer:
3w + 8 = 2
Step-by-step explanation:
product of a number and 3 is w * 3
eight more than the above is 3w + 8
which is equal to 2
3w + 8 = 2
insane in the membrane
Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose
Answer:
7 pounds?
Step-by-step explanation:
What is the area (what is the height)
Answer:
5 i think
Step-by-step explanation:
The trapezoid's height (h) is 4 mm(millimeters).
Formula to calculate a trapezoid's height;
2 x Area ÷ by A(short base) + B(large base)
Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?
Answer:
Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.
PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane.
Answer:
Step-by-step explanation:
A (0,8) Q = IB (-1, -7) Q = III C (-2, 1) Q = IID (4, -3) Q = IVE (5,3) Q = IHELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds
Answer:
5.3 seconds is needed for one signature.
Hence, for 96 signatures, it would take
[tex]96*5.3=508.8[/tex] seconds.
The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Lola needs to sign 96 invitations.
And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.
Since, No of invitation's =96
And, Time required to sign 1 invitation = 5.3seconds
So, Let the time required to sign 96 invitation = x
Hence, We get;
x = 5.3 x 96
= 508.8 seconds
Thus, The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
I need 30 please thank you
Answer:
ok good morning
have a nice day
Step-by-step explanation:
#toxicsquad
Answer:
i think its 7, but you should probably check that...