Answer:
[tex]x^2 + ( y + 4)^2 = 52[/tex]
Step-by-step explanation:
Equation of circle with center (a , b) and radius, r is :
[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]
Given : a = 0 , b = - 4
Step 1 : Find the radius.
Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.
[tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]
[tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]
Step 2 : Equation of circle.
[tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]
Determine another point on the parabola that has an axis of symmetry x = 4 and a point on the parabola is (0, 2), Another point on the parabola is
Given:
Axis of symmetry of a parabola is [tex]x=4[/tex].
A point on the parabola is (0,2).
To find:
The another point on the parabola.
Solution:
The point (0,2) lies on the parabola and the axis of symmetry of a parabola is [tex]x=4[/tex].
It means, the another point on the parabola is the mirror image of (0,2) across the line [tex]x=4[/tex] because the parabola is symmetric about the axis of symmetry.
If the point is reflected across the line [tex]x=4[/tex], then
[tex](x,y)\to (-(x-4)+4,y)[/tex]
[tex](x,y)\to (-x+4+4,y)[/tex]
[tex](x,y)\to (-x+8,y)[/tex]
Using this rule, we get
[tex](0,2)\to (-0+8,2)[/tex]
[tex](0,2)\to (8,2)[/tex]
Therefore, the other point on the parabola is (8,2).
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
Answer:
Step-by-step explanation:
First of all the first term is a1 and that's equal to -3
Every term is multiplied by 7
So the recursive formula is
an = 7*a_(n-1)
a2 = 7*a_(1 -1)
a2 = 7*-3
a2 = - 21
Now try a_4
a_4 = 7*a_3
a_3 = -147
a_4 = 7*(-147)
a_4 = -1029
Find the measure of the indicated angle
Answer:
yes
Step-by-step explanation:
Robert took 8 minutes to complete his 12 worksheets. What is his unit rate of completing worksheets
Answer: 40 seconds per worksheet
Step-by-step explanation:
From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.
Based on this, his unit rate of completing worksheets will be given as:
= 8 minutes / 12
= 480 seconds / 12
= 40 seconds per worksheet
Note 1 minute = 60 seconds
8 minutes = 8 × 60 = 480 seconds
Find the volume of the triangular prism."
14 ft
h=3A
6 ft
Answer:
Step-by-step explanation:
volume =triangular area× length
=1/2×6×3×14
=126 ft³
Answer:
About 126 ft cubed
CAN SOMEONE HELP ME ASAP!!!
Answer:
5÷35 = 1/7× 100
Step-by-step explanation:
P(E)= n(E)÷ n(s)
Answer:
17%
Step-by-step explanation:
Add all of the students up and then form a ratio:
30 students in total; 5 seniors/30 students
5/30 = 1/6 = 16.67%
(I think that's the answer, hope it helps)
FOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
x > 23/5
Step-by-step explanation:
2x+ 3(x+2)>17
2x + 3x + 6 >17
5x >23
x > 23/5
Using the number line below, draw a box and whisker plot for the following data: 12,18,18,20,22,22,25,26,30,30,32,32,35,35,38,49,42
Answer:
Step-by-step explanation:
Population size: 17
Median: 30
Minimum: 12
Maximum: 49
First quartile: 21
Third quartile: 35
Interquartile Range: 14
Outliers: none
What is the quotient of (x^3 - 3x^2 + 3x - 2) ÷ (x^2 - x + 1)?
O x - 2
O x + 2
O x- 4
O x + 1
Answer:
x-2
The choose (1)
Step-by-step explanation:
(x³-3x²+3x-2)÷(x²-x+1)
(x-2)(x²-x+1) ÷ (x²-x+1)
Delete (x²-x+1)
so = (x-2)
please help me with this
Answer:
(0,-3)
Step-by-step explanation:
Which system of linear inequalities is represented by the
graph?
Answer:
The 2nd one
Step-by-step explanation:
Did the test
Find the y-intercept of the line: 9x + 3y = -18
(0,-6)
(0,6)
(-2,0)
(3,9)
Answer:
(0,-6)
Step-by-step explanation:
9x + 3y = -18
Solve for y to get equation in slope intercept form
( y = mx + b )
9x + 3y = -18
Subtract 9x from both sides
9x - 9x + 3y = -18 - 9x
3y = -9x - 18
Divide both sides by 3
3y/3 = y
-9x - 18 / 3 = -3x - 6
We're left with y = -3x - 6
The equation is now in y intercept form
y = mx + b where b = y intercept
-6 takes the spot of b therefore the y intercept would be at (0,-6)
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Given:
Consider the given function is:
[tex]f(x)=5^x+1[/tex]
To find:
The average rate of change between x = 0 and x = 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
We have,
[tex]f(x)=5^x+1[/tex]
At [tex]x=0[/tex],
[tex]f(0)=5^0+1[/tex]
[tex]f(0)=1+1[/tex]
[tex]f(0)=2[/tex]
At [tex]x=0[/tex],
[tex]f(4)=5^4+1[/tex]
[tex]f(4)=625+1[/tex]
[tex]f(4)=626[/tex]
Now, the average rate of change between x = 0 and x = 4 is:
[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]
[tex]m=\dfrac{626-2}{4}[/tex]
[tex]m=\dfrac{624}{4}[/tex]
[tex]m=156[/tex]
Hence, the average rate of change between x = 0 and x = 4 is 156.
What is the frequency of the graph of y = 1/3 sin(2x)?
Given:
The sine function is:
[tex]y=\dfrac{1}{3}\sin (2x)[/tex]
To find:
The frequency of the graph of given function.
Solution:
If a sine function is defined as:
[tex]y=A\sin(Bx+C)+D[/tex]
Then, the frequency of the sine function is:
[tex]f=\dfrac{B}{2\pi}[/tex]
We have,
[tex]y=\dfrac{1}{3}\sin (2x)[/tex]
Here, [tex]B=2[/tex]. So, the frequency of the given function is:
[tex]f=\dfrac{2}{2\pi}[/tex]
[tex]f=\dfrac{1}{\pi}[/tex]
Therefore, the correct option is D.
26
Which defines a circle?
Answer:
a round figure that has no corners or vertices.
Step-by-step explanation:
Answer:
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.
Step-by-step explanation:
Center of a Circle
The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle.
Here, point P is the center of the circle.
center of the circle center point
Semicircle:
A semi-circle is half of a circle, formed by cutting a whole circle along a line segment passing through the center of the circle. This line segment is called the diameter of the circle.
which of the following must be true to prove Δ ABC≅Δ DEF by the AAS theorem?
A. C∠≅∠F
B. ∠B≅∠E
C. ∠E≅∠F
D.∠B≅∠C
Answer:
b must be because the therom is aas so
Answer:
B is answer
Step-by-step explanation:
just did it
Linear Law Additional Mathematics F4
Answer:
h = 3, k = 64
Step-by-step explanation:
Given
[tex]log_{2}[/tex] y = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] x + 3
In the form
y = mx + c ( m is the slope and c the y- intercept )
Then
h = 3
On the [tex]log_{2}[/tex] axis [tex]log_{2}[/tex] y = 0 then
0 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k + 3 ( subtract 3 from both sides )
- 3 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k ( divide both sides by - [tex]\frac{1}{2}[/tex] )
6 = [tex]log_{2}[/tex] k , then
k = [tex]2^{6}[/tex] = 64
A main purpose of doing an experiment over an observational study is to learn whether a certain _____ causes a certain response.
Answer:
condition
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.
Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).
x/2-y+6=0 in slope intercept form
Answer:
[tex]y= \frac{1}{2} x +6[/tex]
Step-by-step explanation:
[tex]x/2-y+6=0[/tex]
[tex]x/2 +6=y[/tex]
[tex]y= \frac{1}{2} x +6[/tex]
15. A line is given by the equation y = 49. What is the equation
of the perpendicular line that passes through the point (12, 35)?
The equation of the line is given by x
Answer:
x=12
Step-by-step explanation:
Line that's perpendicular to y=49 should be a vertical line of the form x=a
Now the line passes through (12,35) so the equation of the line is,
x=12
Answered by GAUTHMATH
WILL PICK BRAINLIEST
A 2-column table with 7 rows. Column 1 is labeled x with entries 2.1, 2.5, 2.7, 3.1, 3.4, 3.9, 4.2. Column 2 is labeled y with entries 30, 36, 34, 38, 39, 42, 41.
Which best describes the data in the table?
There are no outliers, but there is a cluster.
There is a cluster and outliers.
There are no clusters or outliers.
There are no clusters, but there are outliers.
Answer:
A
Step-by-step explanation:
Just did it
Answer:
c
Step-by-step explanation:
Evaluate (3n+2) -10 when n=3 !!!!
Hello!
(3n + 2) - 10 =
= (3 × 3 + 2) - 10 =
= (9 + 2) - 10 =
= 11 - 10 =
= 1
Good luck! :)
[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]
Solving a decim For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance bill was $12.79. For how many minutes was Justin billed?
Answer:
89 minutes
Step-by-step explanation:
Let
x = number of minutes
Total cost = fixed cost + variable cost
Total cost = $12.79
Fixed cost = $3
Variable cost = cost per minutes * number of minutes
= 0.11 * x
= 0.11x
Total cost = fixed cost + variable cost
12.79 = 3 + 0.11x
12.79 - 3 = 0.11x
9.79 = 0.11x
x = 9.79/0.11
x = 89
x = number of minutes = 89 minutes
Helppppp and explain pls and thankyouu
Answer:
-13 is the answer I think so but wait for others also because my could be wrong
Need help on this!!! 6 points!!!
Answer:
The Answer is 129
Step-by-step explanation:
We substitute x + 3 for X in F(x):
f(g(x)) = (x + 3)^3 +4
f(g(2)) = (2 + 3)^3 + 4
=125 + 4
=129
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5
OB. 2
O C. 2 sxs7
D. 5sxs9
Answer:
D
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
answer and or help would be much appreciated work is due and needs to be submitted
Answer:
1. D
2. C
3. B
4. A
Step-by-step explanation:
just match up the number y is on the right side and x on the left side like this (x,y)
Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?
Answer:
option C is correct
x^4 - x^2 - 2.5
If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable.
Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are g(x) and f(x) are given below.
f(x) = x⁴-x²
g(x) = x⁴-x²+2.5
We know that if we add any constant c in the function then it gets shifted upward by the c unit.
The graph is shown.
More about the function link is given below.
brainly.com/question/5245372
#SPJ7
Helpppppppppppppppppppppppppppppppp
Answer:
11
Step-by-step explanation:
(2x -9) + (x + 2) = 23
2x + x -9 + 2 = 23
3x - 7 = 23
3x = 23 + 7
x = 10
RS = 2x - 9
RS = (2 * 10) - 9
RS = 20 - 9
RS = 11
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease
Answer:
b. remains unchanged
Step-by-step explanation:
Formula for standard error of mean is;
SE = σ/√n
From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.
Now, we are given that;
random sample; n = 100
Standard deviation; σ = 1
Thus;
SE = 1/√100
SE = 1/10
Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.
Thus, SE remains unchanged.