Answers
Answer:
(x-3)²+(y-2)² = 16
Step-by-step explanation:
The formula for calculating the equation of a circle is exoressed as;
(x-a)²+(y-b)² = r²
(A, B) is the centre = (3,2)
r is theradius = 4units
Substitute;
(x-3)²+(y-2)² = 4²
(x-3)²+(y-2)² = 16
Ths gives the required equation
Related Questions
1
How does the graph of g(x) =
X+4
-6
compare to the graph of the parent function RX)=
- ?
g(x) is shifted 4 units right and 6 units up from f(x).
O g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
O g(x) is shifted 4 units left and 6 units down from f(x).
Answers
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
[tex]g(x) = f(x+4) - 6[/tex]
Transformation 1:
[tex]g(x) = f(x+4)[/tex]
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
[tex]g(x) = f(x+4) - 6[/tex]
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
need help please someone
Answers
Answer:
56.55
Step-by-step explanation:
Solution
V=
π
r
2
h
=
π
3
2
2
≈
56.54867
The cost of purchasing a bag of rice is partly constant and partly varies inversely as the square root of the number of people demanding the bag. when the cost was 100 naira the number of people were 36 when the cost was 150 naira the number of people were 144. Find
1. The cost when the number of people were 225.
The number of people when the cost was 200 naira
Answers
Answer:
(a) 160 Naira
(b) Undefined
Step-by-step explanation:
Given
Let:
[tex]y \to[/tex] cost of bag of rice
[tex]x \to[/tex] people demanding the bag
So, we have:
[tex]y\ = \frac{k}{\sqrt x} + c[/tex] ---- The variation
[tex]y = 100; x = 36[/tex]
[tex]y = 150; x = 144[/tex]
We have:
[tex]y\ = \frac{k}{\sqrt x} + c[/tex]
When: [tex]y = 100; x = 36[/tex]
[tex]100 = \frac{k}{\sqrt {36}} + c[/tex]
[tex]100 = \frac{k}{6} + c[/tex] -- (1)
When: [tex]y = 150; x = 144[/tex]
[tex]150 = \frac{k}{\sqrt {144}} + c[/tex]
[tex]150 = \frac{k}{12} + c[/tex]--- (2)
Subtract (1) from (2)
[tex]150 - 100 = \frac{k}{12} - \frac{k}{6} + c - c[/tex]
[tex]50 = \frac{k}{12} - \frac{k}{6}[/tex]
Multiply through by 12
[tex]600 = k - 2k[/tex]
[tex]600 = -k[/tex]
[tex]k = -600[/tex]
To solve for x, we have:
[tex]100 = \frac{k}{6} + c[/tex] -- (1)
This gives:
[tex]100 = \frac{-600}{6} + c[/tex]
[tex]100 = -100 + c[/tex]
[tex]c = 100 + 100[/tex]
[tex]c = 200[/tex]
So, the equation is:
[tex]y\ = \frac{k}{\sqrt x} + c[/tex]
[tex]y = -\frac{600}{\sqrt x} + 200[/tex]
Solving (1): y; when x = 225
We have:
[tex]y = -\frac{600}{\sqrt x} + 200[/tex]
[tex]y = -\frac{600}{\sqrt {225}} + 200[/tex]
[tex]y = -\frac{600}{15} + 200[/tex]
[tex]y = -40 + 200[/tex]
[tex]y = 160[/tex]
Solving (2): x; when x = 200
We have:
[tex]y = -\frac{600}{\sqrt x} + 200[/tex]
[tex]200 = -\frac{600}{\sqrt x} + 200[/tex]
Collect like terms
[tex]\frac{600}{\sqrt x} = 200 - 200[/tex]
[tex]\frac{600}{\sqrt x} =0[/tex]
Cross multiply
[tex]600 =0 * \sqrt x[/tex]
[tex]600 =0[/tex]
x is undefined
12. The temperature was –3° C last night. It is now 4° C. What was the
change in temperature?
Answers
Answer:
7
Step-by-step explanation:
-3 + 3 = 0
0 + 4 = 4
4 + 3 = 7
Answer:
[tex]7^\circ\text{C}[/tex]
Step-by-step explanation:
Calculate second temperature minus the first one.
4 - (-3) = 4 + 3 = 7
Is x = 13 a solution to the equation x - 9 = 4? please answer ASAP
Answers
Answer:
yea
Step-by-step explanation:
x=13 so 13-9=4
Find the slope
2/3
-2/3
3/2
-3/2
Answers
Method:
Look at two perfect points like (-2,-2) and (0,1)
Then use rise/run triangle to find the slope in the quickest way.
Start from point (-2,-2), move 3 units up and 2 units to the right to reach point (0,1).
Select the correct answer. What is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4) A. x ≤ 0 B. -2 ≤ x ≤ 2 C. x ≥ 4 D. all real numbers
WILL GIVE BRAINLIEST
Answers
Answer:
For a general function f(x), the domain is the set of the possible values of x that we can input in the function.
The trick to find the domain is first to assume that the domain is the set of all real numbers, and then let's try to find the values of x that cause a problem in the function. (If the graph is cut in some value of x, such that it ends with an open or a closed point, then these values define the domain).
Such that one of these problems can be like x = 1 in the function:
g(x) = 1/(x - 1)
Because that value causes the denominator to be equal to zero, then the domain of that function will be the set of all real numbers except the value x = 1.
In this case, we have:
f(x) = x^2 - 4
There is no value of x that causes a problem for this function, then the domain is the sett of all real numbers.
Correct option D.
Find the volume of the prism below if each cube has a side length of 1/8 of a foot
Answers
Answer:
[tex]Volume = \frac{3}{128}ft^3[/tex]
Step-by-step explanation:
Given
[tex]Length = 1\ cube[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]1\ cube = \frac{1}{8}ft[/tex]
Required
The volume of the cube
Start by calculating the dimension in ft
[tex]Length = 1\ cube[/tex]
[tex]Length = 1 * \frac{1}{8}ft[/tex]
[tex]Length = \frac{1}{8}ft[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Width = 3 * \frac{1}{8}ft[/tex]
[tex]Width = \frac{3}{8}ft[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]Height = 4 * \frac{1}{8}ft[/tex]
[tex]Height = \frac{1}{2}ft[/tex]
So, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = \frac{1}{8}ft * \frac{3}{8}ft * \frac{1}{2}ft[/tex]
[tex]Volume = \frac{1}{8} * \frac{3}{8} * \frac{1}{2}ft^3[/tex]
Using a calculator, we have:
[tex]Volume = \frac{3}{128}ft^3[/tex]
I’ll give brainliest for the right answer!
Answers
Answer:
[tex] (x-1.3) ^2 + (y+3.5) ^2= 37 [/tex]
Step-by-step explanation:
Radius of the circle [tex] r = \sqrt {37}\: units [/tex]
Center of the circle (h, k) = (1.3, - 3.5)
Equation of the circle in center radius form is given as:
[tex] (x-h) ^2 + (y-k) ^2= r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] (x-1.3) ^2 + (y+3.5) ^2= (\sqrt {37})^2 [/tex]
[tex] (x-1.3) ^2 + (y+3.5) ^2= 37 [/tex]
This is the required equation of the circle.
This table represents function f.
If function g is a quadratic function that contains the points ( -3, 5 ) and ( 0, 14 ), which statement is true over the interval [ -3, 0 ] ?
A. The average rate of change of f is the same as the average rate of change of g.
B. The average rate of change of f is less than the average rate of change of g.
C. The average rate of change of f is more than the average rate of change of g.
D. The average rates of change of f and g cannot be determined from the given information.
Answers
The true statement over the interval [-3, 0] is: B. average rate of change of function f is less than that of function g.
What is the Average Rate of Change of a Function?Over a given interval, the average rate of change of a function is found using the formula: change in y / change in x = f(b) - f(a) / b - a.
Average rate of change of function g over [-3, 0]:
a = -3, f(a) = 5
b = 0, f(b) = 14
Average rate of change = (14 - 5)/(0 - (-3)) = 3
Average rate of change of function f over [-3, 0]:
a = -3, f(a) = -4.5
b = 0, f(b) = 0
Average rate of change = (0 - (-4.5))/(0 - (-3)) = 1.5
Therefore, the correct answer is: B. average rate of change of function f is less than that of function g.
Learn more about average rate of change on:
https://brainly.com/question/11627203
#SPJ2
Which could be the graph of y - 3*?
A)
B)
D)
Answers
Answer:
Option D is correct
Step-by-step explanation:
Hope it is helpful....
which system of equations does this graph represent?
1) y=x^2-5
y=-x+1
2) y=x^2-5
y=-x-1
3) y=x^2+5
y=-x+1
4) y=x^2+5
y=-x-1
Answers
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
O There are a three solutions because 8, 9, and 10 are possible solutions.
O There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answers
Answer:
Option 4
Step-by-step explanation:
Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b
The average of them will always lie in between them or be equal(if 0).
Let's prove : According to the statement,
a ≥ (a + b)/2 ≥ b
2a ≥ a + b ≥ 2b
2a ≥ a + b and a + b ≥ 2b
a ≥ b and a ≥ b, as we assumed.
Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.
In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.
Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.
Option (4), infinite solutions.
Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).
Jamie is working on simplifying a problem with negative exponets and got the answer 1/4³. What might Jamie's original expression have been? In other words, work backwards and rewrite this expression with a negative exponet
Answers
Answer:
Your answer would be 4^-3.
Step-by-step explanation:
So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.
In this case, 4 would be the number and -3 would be the negative exponent.
So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.
1/x^y ---> x^-y
1/4^3 ---> 4^-3
Your answer would be 4^-3.
Find the area of the figure
area: units2
Answers
Answer:
24
Step-by-step explanation:
Answer: 25 units^2
Step-by-step explanation:
This is the correct answer
USING A2+B2=c2
For the following right triangle, find the side length x.
DELL
Answers
Answer:
[tex]x=15[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse), a and b are the other sides of the right angled triangle.
In this question, c is labelled as [tex]x[/tex].
Therefore, we can use the theorem to find [tex]x[/tex].
[tex]x^2 = a^2+b^2[/tex]
So, substitute in the other sides and solve for [tex]x[/tex].
[tex]x^2 = (9)^2 + (12)^2\\x^2 = 81 + 144\\x^2 = 225\\x = 15[/tex]
We can see the answer is correct because it is meant to be the largest side and [tex]15> 12>9[/tex].
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Answers
Answer:
71
Step-by-step explanation:
cumulative means all together
A = {prime numbers between 4 and 25}
B = {odd numbers less than 16}
List the outcomes of A U B
List the outcomes of A n B
Please Show your work
Answers
The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its own site with use of a longer established social networking site named FaceList. Some articles published on the Internet give the reader the opportunity to register votes (called "likes") for the article on social networking sites to which the reader belongs. A BooglePlus employee selects from the Internet a random sample of 28 articles where the opportunity is given for registering votes for the article on both BooglePlus and Face List. Letting x be the number of votes on FaceList and y be the number of votes on the BooglePlus, the slope of the least squares regression line of y on x is found to be 0.0623, with a standard error of 0.0224.
Required:
What could be used to compute a 95% confidence interval for the slope of the population regression line of y on x?
Answers
Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )
⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )
⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )
{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Rewrite the function by completing the square. f(x)=x^{2}+8x+4
Answers
Answer:
[tex]\implies f(x) = ( x + 2)^2[/tex]
Step-by-step explanation:
Given :-
f(x) = x² + 8x + 4 .And we need to rewrite the function by completing the square. The function is ,
[tex]\implies f(x) = x^2+8x + 4[/tex]
We can rewrite the function in the form of ,[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]
Rewriting the function :-
[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]
This is similar to the whole square form stated above . So ,[tex]\implies f(x) = ( x + 2)^2[/tex]
Hence the function in whole square form is (x + 2)² .
HELP ASAP! LOOK AT PIC PLS
Answers
Answer:
E
Step-by-step explanation:
well, yes we know what coins there are and that they’re in jars right? but to find which jar is worth the most, we need to know how many coins are in each. she could have 300 pennies, 2 quarters, 4 dimes, and 7 nickels. we need more information to answer this question so E is the only correct option!
please help me with this
Answers
9514 1404 393
Answer:
C = 40°c ≈ 5.79a ≈ 6.89Step-by-step explanation:
The acute angles in a right triangle are complementary, so ...
C = 90° -50°
C = 40°
__
SOH CAH TOA reminds you of the relations ...
Cos = Adjacent/Hypotensue
Sin = Opposite/Hypotenuse
Then ...
cos(50°) = c/9
c = 9·cos(50°) ≈ 5.79
sin(50°) = a/9
a = 9·sin(50°) ≈ 6.89
La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta
Answers
Answer: No puedo responder a esto sin que me muestres el problema.
How many people were surveyed for the frequency table below?
6
25
63
8
Answers
Answer:
25 people were surveyed.
Step-by-step explanation:
Add up the frequency.
The table shows all possible outcomes when Juan tosses a penny, a nickel, and a quarter at the same time.
Answers
Answer:
A
Step-by-step explanation:
Someone help
A statistican is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristics of the data defines the period?
Answers
Explanation:
The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.
The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.
Algebraic expression for six times 4 Less Than 3 times x
Answers
Answer:
6(3x - 4)
Step-by-step explanation:
From the question, we can deduce the following points;
- 6 is multiplied by 3x minus 4
Translating the word problem into an algebraic expression, we have;
6 * (3x - 4)
You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the incline plane is 26 ft from the shelving unit. What is the length of the incline plane? FAST HELPPP MEE PLEASEE IM STUCK
Answers
Answer:
17.46 ft
Step-by-step explanation:
The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]7^{2} + 16^{2} = c^{2}[/tex]
[tex]49 + 256 = c^{2}[/tex]
[tex]305 = c^{2}[/tex] ... square root both sides
17.46 = c
Solve the quadratic function by completing the square. What are the missing pieces in the steps?
-32 = 2(x2 + 10x)
-32 + = 26x2 + 10x +25)
18 = 2(x + 5)2
9 = (x + 5)2
=X+5
x = -2 or x =
Answers
Answer:
Step-by-step explanation:
Given quadratic equation is,
-32 = 2(x² + 10x)
-32 + 50 = 2(x² + 10x + 25)
18 = 2(x + 5)²
9 = (x + 5)²
± 3 = (x + 5)
x = -2 or x = -8
PLS HELPPPP ! I need itttt
Answers
Answer:
x = 10
Step-by-step explanation: