A line that divides a circle into two equal halves is the?
Answers
Answer:
A bisector or angle
Step-by-step explanation:
An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.
Related Questions
(2x^2-9x-5) \div(x-5)
Answers
Answer:2x+1
Step-by-step explanation:
find the horizontal asymptote for y= 5x/x+6 .
y = 0
y = −6
none
y = 5
Answers
Answer:
\(y = 5\)
Step-by-step explanation:
Given function:
\(y=\dfrac{5x}{x+6}\)
\(\implies y=5 \left( \dfrac{x}{x+6}\right)\)
\(\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1\)
\(\implies y\rightarrow5\)
\(\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1\)
\(\implies y\rightarrow5\)
As \(x\) approaches infinity and negative infinity, \(y\) approaches 5 (but never gets there). Therefore, the horizontal asymptote is \(y=5\)
What point lies on the graph y=x2-5
Answers
The point (0, -5) lies on the graph of the quadratic equation y = x² - 5. The shape of the graph is a parabola.
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
The equation y = x² - 5 represents a quadratic equation. A quadratic equation have the shape of a parabola.
When x = 0;
y = 0² - 5
y = -5
The point (0, -5) lies on the graph of y = x² - 5
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Write a quadratic equation if its roots are: 2-√3, and 1/(2-√3) assuming that the leading coefficient a=1, the equation is...
Answers
\(x^2 -4x +1 = 0\)
Step-by-step explanation:According to the Zero-Product Property, if you have the Quadratic Equation, \((x +a)(x +b) =0\), it's roots will be \(x = -h\) and \(x = -k\).
If we want our roots to be \(2 -\sqrt 3\) and \(\frac{1}{2 -\sqrt 3}\\\), then \(-h = 2 -\sqrt 3\) and \(-k = \frac{1}{2 -\sqrt 3}\\\).
Solving for \(h\):
\(-h = 2 -\sqrt 3 \\ -h \cdot -1 = (2 -\sqrt 3) \cdot -1 \\ h = \sqrt 3 -2\)
Solving for \(k\):
\(-k = \frac{1}{2 -\sqrt 3} \\ -k \cdot -1 = \frac{1}{2 -\sqrt 3} \cdot -1 \\ k = \frac{1}{\sqrt 3 -2}\)
Writing the equation:
\((x +h)(x +k) = 0 \\ (x +(\sqrt 3 -2))(x +\frac{1}{\sqrt 3 -2}) = 0\)
Unsurprisingly, the answer shouldn't be that because it shouldn't be that easy. By that, we have to apply the distributive property.
\((x +(\sqrt 3 -2))(x +\frac{1}{\sqrt 3 -2}) = 0 \\ x(x +(\sqrt 3 -2)) +\frac{1}{\sqrt 3 -2}(x +(\sqrt 3 -2)) = 0 \\ x^2 +(\sqrt 3 -2)x +\frac{1}{\sqrt 3 -2}x +\frac{1}{\sqrt 3 -2}(\sqrt 3 -2) = 0 \\ x^2 +((\sqrt 3 -2) +\frac{1}{\sqrt 3 -2})x +1 = 0 \\ x^2 + (\frac{(\sqrt 3 -2)^2}{\sqrt 3 -2} +\frac{1}{\sqrt 3 -2})x +1 = 0 \\ x^2 +\frac{3 -4\sqrt 3 +4 +1}{\sqrt 3 -2}x +1 = 0 \\ x^2 +\frac{8 -4\sqrt 3}{\sqrt 3 -2}x +1 = 0 \\ x^2 +\frac{-4(\sqrt 3 -2)}{\sqrt 3 -2}x +1 = 0 \\ x^2 -4x +1 = 0\)
The quadratic equation will be y = (x - 2 - √3)[x - 1/(2-√3)].
How to get polynomials with zeroes?Let b, c, d, and e be the zeroes of the polynomial. And 'a' be the leading coefficient.
Then the polynomial is given as,
⇒ a(x - b)(x - c)(x - d)(x - e)
The degree of the polynomial will be greater than or equal to the number of zeroes.
Write a quadratic equation if its roots are: 2-√3, and 1/(2-√3) assuming that the leading coefficient a = 1.
Then the equation of the quadratic equation will be
y = 1(x - 2 - √3)[x - 1/(2-√3)]
y = (x - 2 - √3)[x - 1/(2-√3)]
The quadratic equation will be y = (x - 2 - √3)[x - 1/(2-√3)].
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PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Answers
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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Three friends went to a baseball game. Each ticket cost $20 and all three friends bought a baseball hat for $15. If 3(20 + 15) represents the situation. Write an equivalent expression using the distributive property. How much money was spent at the baseball game?
Answers
Answer:
$105 was spent at the baseball game and the distributive property answer would be 3x20+3x15=105.
Step-by-step explanation:
20+15=35
3x35=105
Evaluate : -35 ÷ (-7) =
Answers
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
Answers
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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How many square feet of outdoor carpet will we need for this hole?
Answers
The number of square feet needed to cover the hole is 44ft²
How many square feet of outdoor carpet will we need for this hole?To find this, we need to find the area of the green region and subtract the little square that it has inside.
Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:
A = 12ft*4ft = 48ft²
The little square has an area:
a = 2ft*2ft = 4ft²
Then the area needed is:
area = 48ft² - 4ft² = 44ft²
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2.4 Show with steps which one is larger: 2.4.1 3
\( {3}^{2} \)
or 4³
Answers
To compare the values \( {3}^{2} \) and 4³, we need to calculate each expression separately.
First, let's calculate \( {3}^{2} \):
\( {3}^{2} = 3 \times 3 = 9 \)
Now, let's calculate 4³:
4³ = 4 × 4 × 4 = 64
Therefore, \( {3}^{2} \) is smaller than 4³.
To summarize:
\( {3}^{2} \) = 9
4³ = 64
Hence, 4³ is larger than \( {3}^{2} \).
(2.4)^3
= 2.4 x 2.4 x 2.4
= 13.824
Now, we can compare 13.824 and 64:
13.824 < 64
Therefore, we can conclude that 4^3 or 64 is larger than (2.4)^3 or 13.824. Hence:
4^3 > (2.4)^3 or 64 > 13.824
Note: I used the value of (2.4)^3 in the comparison, because it was given with the option of 3².
Given that f(x)=2x+3 , find: f(5x+3)
Answers
Answer:
f(5x+3) = 10x + 9
Step-by-step explanation:
f(x) = 2x + 3
f(5x+3) = ??
Given this information, we know that x = 5x + 3. Therefore, to solve the new equation we need to plug 5x + 3 into the original equation
f(5x+3) = 2(5x+3) + 3
Now we distribute the 2
f(5x+3) = 10x + 6 + 3
Finally, combine like terms
f(5x+3) = 10x + 9
y=3x²-7x+16
y=3x²+2x-2
Show your work
Answers
Answer:
y= 3x^2-7x+16= -11.917
y=3x^2+2x-2= -11.917
Step-by-step explanation:
Find the Vertex of y = -3x2-7x-16
1. Parabolas have a highest or a lowest point called the Vertex . Our parabola opens down and accordingly has a highest point (AKA absolute maximum) . We know this even before plotting "y" because the coefficient of the first term, -3 , is negative (smaller than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -1.1667
Plugging into the parabola formula -1.1667 for x we can calculate the y -coordinate :
y = -3.0 * -1.17 * -1.17 - 7.0 * -1.17 - 16.0
or y = -11.917
Find the Vertex of y = -3x2-7x-16
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens down and accordingly has a highest point (AKA absolute maximum) . We know this even before plotting "y" because the coefficient of the first term, -3 , is negative (smaller than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -1.1667
Plugging into the parabola formula -1.1667 for x we can calculate the y -coordinate :
y = -3.0 * -1.17 * -1.17 - 7.0 * -1.17 - 16.0
or y = -11.917
Name me brainliest please and say thank you.What equivalent ratios are less but equivalent to 40:20?
i already have 2:1 and 20:10 and 4:2 and 8:4
Answers
Answer:
5:1
Step-by-step explanation:
You would divide 40:20 by 10 on both sides and it would be 10:2. You divide again by 2, to get 5:1.
10:5
12:6
14:7
16:8
18:9
22:11
24:12
26:13
28:14
30:15
32:16
34:17
36:18
38:19
Elsa sold 24 drawings for $12 each at the art fair. She is going to use ‡ of the money to buy books. The rest of the money is going into her savings account. How much money will she put into her savings account?
Answers
The amount going to her savings accounts is $192
How to determine the amount saved?The given parameters are:
Drawings = 24
Rate = $12
The total amount earned from selling the drawings is:
Total = 24 * $12
Evaluate
Total = $288
She buys books with 1/3.
This means that she saved 2/3
So, we have:
Savings = 2/3 * $288
Evaluate
Savings = $192
Hence, the amount going to her savings accounts is $192
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Can somebody help me if you know what this is
Answers
Answer: A
Step-by-step explanation:
cause it is
 Find the area of the shaded sector.
Answer In Exact Form (don't put pi in calculator, simplify your decimal answer to a fraction, and put pi symbol in answer).
Answers
The area of the shaded sector is equal to: A. 415π/2 ft².
How to calculate the area of a sector?Mathematically, the area of a sector can be calculated by using this formula:
Area of sector = θπr²/360
Where:
r represents the radius of a circle.θ represents the central angle.Substituting the given parameters into the area of a sector formula, we have the following;
Area of sector = 332(π/180) × (15)²/2
Area of sector = 74,700π/180 × 1/2
Area of sector = 415π/2 ft²
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A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answers
Answer:
52.6
Step-by-step explanation:
263/5=52.6
Answer:
53
Step-by-step explanation:
You must take 263 and divide it by 5
263/5 = 52.6
So, 5 times 52 = 260
BUT 5 times 53 = 265. You would need 53 fish bowls
What is a pirate's favorite part of statistics? Please i need this for school
Answers
Answer: R-squared (pronounced ARRRrrr-squared)
LOL, hope it helped.
Answer: R
That's my answer
What factoring method would be the BEST choice
4x² - 121
Answers
( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.
= 4x² - 121
= (2x)² - ( 11 )²
= ( 2x + 11 ) ( 2x - 11 )
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Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
Answers
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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Simplify
(8^2)^3
I thought it was 8^5 of five but I might be wrong
Answers
Answer:
The answer is 8^6
Step-by-step explanation:
In order to simplify exponents, you multiply them together. so you multiply 2 and 3 to get 6
\((8^2)^3 = 262,144\\8^5 = 32,769\\8^6 = 262,144\)
If f(x) = 3x +5/x what is f(a+2)?
Answers
Substitute a+2 instead of x
That would look something like: 3(a+2)+5/a+2
Now simplify:
3a+6+5/a+2
3a+11/a+2
3(a+2) +5/(a+2)
3a+6 + 5/(a+2)
LCM: (3a(a+2) + 6(a+2) +5)/a+2
So your answer will be (3a^2 + 12a + 17)/(a+2)
I hope this helps :)
PLEASE PLEASE HELP WILL MARK BRAINLIST!!!!!!!!!!!!
Answers
The function rule for g(x) is h(x) = (x - 0)² - 7.
How to determine the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:
f(x) = a(x - h)² + k
2 = a(-3 - 0)² - 7
2 + 7 = 9a
9 = 9a
a = 1
Therefore, the required quadratic function in vertex form is given by:
h(x) = a(x - h)² + k
h(x) = (x - 0)² - 7
h(x) = x² - 7
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Need answer please help
Answers
Answer: X=45
Step-by-step explanation:
What is the range of this quadratic function
Answers
The range of the equation of the function given as y = x^2 + 4x + 7 is y >= 3
How to determine the range?The equation of the function is given as
y = x^2 + 4x + 7
Differentiate the function with respect to x
So, we have
y' = 2x + 4
Set the differentiated function to 0
So, we have
2x + 4 = 0
This gives
2x = -4
Divide by 2
x = -2
Substitute x = -2 in the equation y = x^2 + 4x + 7
So, we have
y = (-2)^2 - 4 x 2 + 7
Evaluate
y = 3
The leading coefficient is positive
This means that the vertex is a minimum
So, we have the range to be
y >= 3
Hence, the range is y >= 3
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what is the answer??
Answers
Answer:
Step-by-step explanation:
The sum of the speeds of two trains is 721.6 miles per hour. If the speed of the first train is 4.4 mph faster than that of the second train,
find the speeds of each, what is the speed of the first train?
Answers
9514 1404 393
Answer:
first: 363 mphsecond: 358.6 mphStep-by-step explanation:
Let f represent the speed of the first train. Then the second train's speed is (f-4.4) and the total speed is ...
f +(f -4.4) = 721.6
2f = 726 . . . . . . . . . add 4.4; next, divide by 2
f = 363 . . . . . . . . . . . speed of the first train in miles per hour
f -4.4 = 358.6 . . . . . . speed of the second train in miles per hour
Please help me with this.
Answers
Answer:
67*3=201
bcoz there were two decimals in 0.67 and one decimal point in 0.3 hence we multiply them normally as shown above.
below is the ryt answer
0.67*0.3=0.201
hop u understood
tnxx
Identify the solutions for 7 and 8 (which is the ones I’m showing)
Answers
Answer:
7. (5,4) x = 5 y = 4
8. (1,2) x = 1 y = 2
Step-by-step explanation:
This explanation takes too long sry :(
Find the indicated limit, if it exists.
Answers
Answer:
The limit is 1.
Step-by-step explanation:
In this kind of problem, we can use the left and right-hand limit method.
Basically, we need to find the limit by the left side and then by the right side. If both of them are equal the limit does exist if not the limit does not exist.
Left hand
\(lim_{-8^{-}}(f(x))=lim_{-8^{-}}(x+9)=-8+9=1\)
Right hand
\(lim_{-8^{+}}(f(x))=lim_{-8^{+}}(-7-x)=-7-(-8)=1\)
As we see, both limits are the same, so the limit is equal to 1.
I hope it helps you!