Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
Answer:
A, B, E
Step-by-step explanation:
You want three true statements describing the circle whose equation is ...
x² + y² – 2x – 8 = 0
GraphA graphing calculator can plot this equation for you. The result is attached.
We see that ...
The radius of the circle is 3 units.The center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.__
Additional comment
The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . center (h, k), radius r
Rearranging the given equation to this form, we have ...
(x -1)² +y² = 8 +1 = 9 . . . . . . . . r²=9 ⇒ r=3
This means the center is (1, 0), and the radius is 3. The point (1, 0) is on the x-axis.
The circle with equation x² + y² = 9 is centered at the origin and has radius 3.
Related Questions
Does the placement of the slope triangles matter when finding the slope of a line? Explain your reasoning.
Choose the correct answer and justification.
Answers
Answer:I really like math
Step-by-step explanation:
Answer:
Step-by-step explanation:
a
Find the slope (m) and the y-intercept (b) of each line. Simplify your answers. Use the slope-intercept form of a linear equation: y = mx + b
y = -x
m =
/
b =
Answers
Answer:
slope = -1, y-intercept = is n/a. The line is vertical since the y intercept was not given.
if the domain of f(x) = 2x + 1 is {-2 ≤ x ≤ 3}, which integer is not in the range?
a) -4 c) -2
b) 0 or d) 7
Answers
If the domain of the function f(x) = 2x + 1 is {-2 ≤ x ≤ 3}, an integer which is not in the range is: a) -4.
What is a range?In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values (real numbers), which are shown on the y-axis of a graph.
When x = -2, the range of this function f(x) = 2x + 1 is given by:
f(-2) = 2(-2) + 1
f(-2) = -4 + 1
f(-2) = -3
When x = 3, the range of this function f(x) = 2x + 1 is given by:
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Therefore, the range of this function is -3 ≤ y ≤ 7 and as such, -4 is an integer that is not within the range as shown in the number line attached below.
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………………………………………………..
Answers
Answer:
62, 78
Step-by-step explanation:
248:4
you want to know
x:1 (hour)
you can do that by dividing by 4 which gives
248/4 = 62
for 2 it's the same, divide by four
Answer:
1- 62 miles per our
2- 78 calories per serving
Which ordered pair is not a solution to the inequality y ≥ 2x2 − 4x + 2?
Answers
The ordered pair that is not a solution to the inequality y ≥ 2x² - 4x + 2 is given as follows:
(-1,6).
How to obtain which ordered pair is not a solution to the inequality?The inequality is presented as follows:
y ≥ 2x² - 4x + 2.
Then for each pair, the numeric value is calculated, replacing x and y by it's respective coordinates, and when a false statement is generated, the ordered pair is not a solution to the inequality.
For the first ordered pair, (-1, 6), the numeric value of the inequality is given as follows:
6 ≥ 2(-1)² - 4(-1) + 2
6 ≥ 8.
Which is a contradiction, hence it is not a solution to the inequality.
For the pair (1,0), we have that:
0 ≥ 2(1)² - 4(1) + 2
0 ≥ 0.
Which is true, hence it is a solution.
For the pair (0,3), we have that:
3 ≥ 2(0)² - 4(0) + 2
3 ≥ 2
Hence it is also a solution.
For the pair (2,5), we have that:
5 ≥ 2(2)² - 4(2) + 2
5 ≥ 2
Hence it is also a solution.
Missing InformationThe problem is given by the image shown at the end of the answer.
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What happens to the graph of the quadratic function y = x2 + c as the value of c increases?
Answers
Answer:
The graph gets shifted up more
Step-by-step explanation:
Calculating the values of x^2 and then adding a constant 'c' to that value shifts the graph upward by the value of 'c'
Answer:
The vertex (or minimum) would move to a higher position on the y -axis
Step-by-step explanation:
Whatever the value of C is, will be where the vertex of the quadratic sits
Simplify: 5x – 12y + 8x + 2xy + 4xy
Answers
Answer:
13x-12y+6xy
Step-by-step explanation:
To make this easier, we can rearrange these terms, and get
5x+8x-12y+2xy+4xy.
x and y just represent variables, so we can combine 5x and 8x to get 13x, and we can combine 2xy and 4xy to get 6xy.
Now we have 13x-12y+6xy, and nothing else can be combined.
1/3(12 - 9w) Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
Answers
Answer:
Step-by-step explanation:
1/3(12) - 1/3(9w)
4 - 3w
A triangle has two sides of length 18 and 13 What is the smallest possible whole-number length for the third side?
Answers
6
Explanation:
‘The sum of the two shortest sides in the triangle must be larger than the third side.’
Therefore, if the longest side is 18, another side is 13, the remaining side must be bigger than 18 - 13 = 5.
The smallest possible whole-number length for the third side is 6.
I would appreciate it if you mark my answer as brainliest.
What is zero divided by zero????? I NEED TO KNOW!!!!!!
Answers
Answer: Error
Step-by-step explanation: Its impossible to divide by zero.
Answer:
0
Explanation Anything divided by zero is zero
find the mean of 5, 25, 10, 15, 20
Answers
Answer:15
Step-by-step explanation:
The mean is the sum of all the numbers divided by the amount of numbers
Step 1: Add
5+25+10+15+20 = 75
Step 2: Divide
Since there are 5 numbers divide 75 by 5
75/5 = 15
The answer is 15
Answer: The mean is 15
Step-by-step explanation:
To find the mean, we add all the numbers together and divide by the number of numbers.
[tex]\displaystyle \frac{5+ 25+10+ 15+ 20}{5} = \frac{75}{5} = 15[/tex]
one caterer charges a basic fee of $\$ 100$ plus $\$ 15$ per person. a second caterer charges a basic fee of $\$200$ plus $\$12$ per person. what is the least number of people that could go to a party so that the second caterer is cheaper to hire?
Answers
At least 10 people or guests could go to a party and the second caterer is $250 cheaper to hire.
In the question we can use the equation :
Y = mx + b , which is the slope-intercept form of the equation of a straight line. Here, m is the slope of the line and b is the intercept, x and y represent the distance of the line from the x-axis and y-axis, respectively.
For caterer A, the cost per guest is $15. This is the m value. The b value is the additional fee for setting up the tables, $100.
Here, the equation will be y = 15x + 100 -------------------------(1)
For Caterer B, the cost per guest is $20. The b value is the additional fee for setting up the tables $50.
For this the equation will be : Y = 20X + 50. --------------------- (2)
To find the number of guests that will result in an equal cost, set the equations equal to one another. Solve for x.
15x + 100 = 20x + 50 ---------------------- (3)
solving the equation (3),
15x - 20x = 50 - 100
⇒ -5x = - 50
⇒ x = 10
Putting x = 10 in equation (1),
15 × 10 + $100 = $250
Therefore, the cost of 10 people or guest will attend the party and the second caterer is $250 cheaper then the first caterer.
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What is an equation of the line that passes through the point (−3,−1) and is perpendicular to the line x-2y=6?
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]x-2y=6\implies -2y=-x+6\implies y=\cfrac{-x+6}{-2} \\\\\\ y-\cfrac{-x}{-2}+\cfrac{6}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]
so we're really looking for the equation of a line whose slope is -2 and that it passes through (-3 , -1)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-3)}) \implies y +1= -2 (x +3) \\\\\\ y+1=-2x-6\implies {\Large \begin{array}{llll} y=-2x-7 \end{array}}[/tex]
pre calc question...pls help
Answers
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ f(-4)=1\hspace{5em}1=ab^{-4}\implies 1=\cfrac{a}{b^4}\implies b^4=a \\\\[-0.35em] ~\dotfill\\\\ f(4)=69\hspace{5em}69=ab^4\implies \stackrel{\textit{substituting from the 1st equation}}{69=(b^4)b^4\implies 69=b^8} \\\\\\ \sqrt[8]{69}=b\implies (69)^{\frac{1}{8}}=b \\\\[-0.35em] ~\dotfill[/tex]
[tex]y=\sqrt{69}\left( (69)^{\frac{1}{8}} \right)^x\implies \boxed{y=\sqrt{69}(69)^{\frac{x}{8}}} \\\\\\ \textit{when x=6.5, what is "y"?}\qquad y=\sqrt{69}(69)^{\frac{6.5}{8}}\implies y\approx 1522.73[/tex]
The price of a gallon of milk was $2. 65. The price rose y dollars after the last hurricane. Then the price dropped $0. 15 and later rose again by $0. 5. Which expression represents the current price of milk?.
Answers
The expression represents the current price of milk is 3 + y in dollars
The initial price of a gallon of milk = $2.65
The price rose y dollars after the last hurricane
Then the expression will be
2.65 + y
Then the price dropped $0. 15
2.65 + y - 0.15
Add the terms
2.65 + y - 0.15 = 2.5 - y
later rose again by $0. 5
2.5 + y + 0.5
Add the terms in the expression
2.5 + y + 0.5 = (2.5 + 0.5) + y
= 3 + y
Current price of milk = 3 + y in dollars
Hence, the expression represents the current price of milk is 3 + y in dollars
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g if the standard deviation of the lifetimes of television tubes is estimated to be 100 h, how large a sample must we take in order to be (a) 95%, (b) 99%, and (c) 99.73% confident that the error in the estimated mean lifetime will not exceed 20 h?.
Answers
So the of 95% is 19/24 and 99%is 33/40
And 34/40 means diffelction from mean value. That is
Given that the standard of life time is 100h
And life is not exceed by 20 h
So maximum life time will be 120 h
And minimum life time will be 80 h
So a) if he is 95 % confident than
P(x<20) is 100/120
=5/6
As he 95% confident than
5/6*95/100
5/6*19/20
19/24
B) 99%
So it will be equal to 5/6*99/100
33/40
C) 99.73
So it will be equal to 5/6*99.73/100
Approx
34/40
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If a jogger runs 2 miles and burnes 185 calories, how many calories would he burn jogging 3 miles?
Answers
Answer:
Divide the calories by 2 to get the amount for 1 mile the multiply that by 3 to get your answer which is 277.5 calories
Step-by-step explanation:
= 185 * 3/2
= 555/2
= 277.5 calories.
Which expressions are equivalent to 5+(-3)(6x-5)
Answers
Answer:
[tex]-18x+20[/tex]
Step-by-step explanation:
We can simplify to find an equivalent expression
Take a look at the attachment...
Hope this helps! :)
What is the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) ?
y−3=−2(x+5)
y+3=−127(x−5)
y+3=−2(x−5)
y−3=−127(x+5)
Answers
The equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) is
y + 3 = -12/7(x - 5)
Given, a line that passes through the points (5, −3) and (−2, 9).
Now, we have to find the equation of the line in point-slope form.
As, we know to find the equation of a line,
(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)
Now, using the above formula, we get
(y + 3)/(x - 5) = (-3 - 9)/(5 + 2)
(y + 3)/(x - 5) = -12/7
On cross-multiplying, we get
y + 3 = -12/7(x - 5)
Hence, the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) is
y + 3 = -12/7(x - 5)
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What is the percent of chloride ion in a sample if 2. 500 g of the sample produces 1. 750 g of agcl when treated with excess ag⁺? report your answer to two decimal places.
Answers
The percent of chloride ion in a sample if 2. 500 g of the sample produces 1. 750 g of AgCl when treated with excess ag⁺ is 17.2%
The percent of chloride can be calculate as follow:
Mass of AgCl precipitated = 1.750 g
Molar mass of AgCl = 143.32 g/mol
Molar mass of Chlorine atom = 35.45 g/mol
Asume, all the chlorine in the sample is precipitated to silver chloride. So, the mass of chlorine in silver chloride will be equal to the mass of chlorine present in the sample.
To calculate the mass of chlorine in given mass of AgCl, we apply unitary method:
In 143.32 g of silver chloride, mass of chlorine present is 35.45 g
So, in 1.3487 g of silver chloride, mass of chlorine present will be =
35.45g/143.32 g * 1.750 g = 0.43 g
To calculate the percentage composition of chlorine in pure chloride compound, as follows:
Mass of pure chloride compound = 2.500 g
Mass of chlorine = 0.43 g
% Chlorine = 0.43/2.5 *100
% Chlorine = 17.2 %
Therefore, the mass percentage of chloride in pure chloride compound is 17.2%
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Which of the following is equivalent to -4 + 5x ≤ 16 ?
Answers
Answer:
Step-by-step explanation:
m n
Which is the order from least to greatest of the following: six fifths, eight ninths, 0.5, forty percent?
forty percent, 0.5, eight ninths, six fifths
six fifths, eight ninths, 0.5, forty percent
0.5, forty percent, six fifths, eight ninths
eight ninths, 0.5, six fifths, forty percent
Answers
The order from least to greatest is "forty percent, 0.5, eight-ninths, six-fifths".
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The given numbers are,
six fifths = 6/5 = 1.2
eight ninths = 8/9 = 0.9
0.5
40% = 0.4
Therefore, the order from least to greatest is "forty percent, 0.5, eight-ninths, six-fifths".
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The length of the bae of an iocele triangle i x. The length of a leg i 4x−3. The perimeter of the triangle i 66. Find x.
Answers
Answer:
x = 8
Step-by-step explanation:
since the triangle is isosceles then the 2 legs are congruent, that is both 4x - 3
the perimeter is the sum of the 3 sides , that is
x + 4x - 3 + 4x - 3 = 66
9x - 6 = 66 ( add 6 to both sides )
9x = 72 ( divide both sides by 9 )
x = 8
The volume of a cylinder is 220 cm³ the radius of the cross section is 25cm Find the height of the cylinder.
Answers
Answer:
2.80112699842
Step-by-step explanation:
height = volume / (π × radius²)
220/25 pi
If a1 = 3 and an = 5an-1 + 3 then find the value of a4.
Answers
Answer:
Step-by-step explanation:
4a
Simplify: 5x(3-12x)-3(4-20x^2)
A. 15x-12
B. 15x^2-60x
C. 60x^2-15x
D. 15x^2-12x
Answers
We may determine the option a) 15x - 12 by simply multiplying and adding them by the necessary terms.
What is Linear Equation?A linear equation is an algebraic equation of the form y = mx + b. involving only a continuing and a first-order ( linear ) term, where m is the slope and b is the y-intercept.
5X ( 3 - 12 X) - 3 ( 4 - 20[tex]x^{2}[/tex] )
15X - 60[tex]x^{2} \\[/tex] - 3 ( 4 - 20[tex]x^{2}[/tex] )
15X - 60[tex]x^{2} \\[/tex] - 12 + 60[tex]x^{2}[/tex]
15X - 12 this is required solution .
Just by simply multiplying and adding them by required terms we can conclude 15x - 12.
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Question content area top Part 1 The length of the base of an isosceles triangle is 2x-6. The length of a leg is x. The perimeter of the triangle is 43 . Find x.
Answers
The value of x in the isosceles triangle is 9.25.
What is the value of x?An isosceles triangle is a polygon that has three sides. The opposite length have the same length and equal angles. has two opposite sides. If the two angles are equal , it means the triangle is an isosceles.
Th perimeter of an isosceles triangle is the sum of the length of the three sides of the triangle.
Perimeter = (2 x length of leg) + base
43 = (2x x) + 2x - 6
43 = 2x + 2x - 6
43 = 4x - 6
43 - 6 = 4x
37 = 4x
x = 37 / 4
x = 9.25
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Which rate is the best deal for a bottle of mustard?
Question 4 options:
A: $1.26 for 6 oz
B: $1.65 for 8 oz
C: $2.42 for 12 oz
D: $3.30 for 16 oz
Answers
The rate that is the best deal for a bottle of mustard is: C: $2.42 for 12 oz.
How to find the unit rate?a. $1.26 for 6 oz
Unit rate = $1.26 / 6 oz
Unit rate = $0.21
b. $1.65 for 8 oz
Unit rate = $1.65 / 8 oz
Unit rate = $0.206
Unit rate = $0.21 (Approximately)
c. $2.42 for 12 oz
Unit rate = $2.42 /12 oz
Unit rate = $0.201
Unit rate = $0.20 (Approximately)
d. $3.30 for 16 oz
Unit rate = $3.30 / 16 oz
Unit rate = $0.206
Unit rate = $0.21 (Approximately)
Therefore the correct option is C.
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how many solutions does have 9x+3=6x-12=3x
Answers
Answer: only one solution
Step-by-step explanation:
9x + 2/3 = 3x + 3 is a linear equation.
Linear equations only have one solution as the lowest power in numbers is 1.
9x + 2/3 = 3x + 3
9x - 3x = 3 - 2/3
3x = 7/3
x = (7/3)/3
x = 7/9
Sheri's house is 0.05 miles from Abdul's house. The post office is 0.1 mile from Abdul’s house. The school is 38mile from the post office.
If Sheri stops at Abdul’s house and the post office on her way to school, how far will Sheri walk in all?
Answers
Answer:
233
Step-by-step explanation: