Answers
For the given square, m∠OKL=45° and m∠MOL=90°.
What is a Square?A square is a regular quadrilateral in Euclidean mathematics because it has four equal sides and four equal angles (right angles, 90-degree angles). It can also be explained as a rectangle with two adjacent sides that are of identical length. It is the only regular polygon whose diagonals are all the same length and whose internal, central, and exterior angles are all equal (90°).
What are Angle Bisectors?In mathematics, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal sections. An angle bisector is a beam that divides an angle into two identical segments of the same length.
Angle bisector points are equally spaced from both angle lines.
Any angle, including acute, obtuse, and right angles, can have an angle bisector traced to it.
In the given square,
The diagonals NL and KM are angle bisectors of ∠K, ∠L, ∠M and ∠N.
Therefore, ∠OKL= 90/2
∠OKL=45°
We know that, in a square, diagonals are equal and bisect each other at right angles.
Therefore, ∠MOL=90°
To find out more about Squares, visit
https://brainly.com/question/28776767
#SPJ1
Related Questions
Kuro has a stack of 15 coins on a table with a volume of 8 cubic centimeters. He has stacked them perfectly straight creating a cylindrical shape. He accidentally bumps the table, causing the coins to shift to a leaning position; but are still stacked. What would be the best estimate of the volume of the stack once it has been bumped/shifted?
Answers
The best estimate of the volume of the stack once it has been bumped/shifted is 4πt³ cubic centimeters.
Describe Volume of cylinder?A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases connected by a curved surface. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula:
Volume = πr²h
where π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the circular base, and h is the height of the cylinder.
Assuming that the coins have the same dimensions and are perfectly circular, the original stack of 15 coins formed a cylinder with a height of 15 times the thickness of a single coin, and a radius equal to the radius of a single coin.
The volume of this cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height.
Since the volume of the original stack is 8 cubic centimeters, we can set up the equation:
8 = πr²(15t)
where t is the thickness of a single coin.
Solving for r, we get:
r = √(8/15πt)
When the stack is bumped and shifts to a leaning position, the new shape will still be a cylinder, but the height will be shorter than before. Let's say that the new height is h2. We can calculate the new volume using the same formula:
V2 = πr²h2
To estimate the new height, we can use the fact that the coins are now leaning against each other, so the new height will be less than 15t. Let's say that the new height is approximately 12t.
Substituting in the values, we get:
V2 = π(√(8/15πt))²(12t)
Simplifying, we get:
V2 = 4πt³
Therefore, the best estimate of the volume of the stack once it has been bumped/shifted is 4π³ cubic centimeters.
To know more about equation visit:
brainly.com/question/12788590
#SPJ1
Are (9g – 11 + 10g) - (12 - 11g+ 13) and -3(-10g + 12) equivalent expressions? Explain.
Answers
Yes, these expressions are equivalent expressions.
What are expressions?A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables. Let's examine the writing style of expressions. A number is 6 times larger than the other number, x, by a factor of 2. The mathematical phrase x/2 + 6 represents this claim. Complex riddles are solved using mathematical expressions.
In the given question,
Expressions are as follows:
(9g-11+10g) - (12-11g+13)
Simplifying it, we get:
30g -36
In the 2nd expression given,
-3(-10g+12) and after simplifying:
30g-36
As the expressions after simplifying are equal to each other, we can say that these are equivalent expressions.
To know more about expressions, visit:
https://brainly.com/question/14083225
#SPJ1
A lithotripter of height 15 cm and diameter 18 cm is to be constructed from a semi-ellipse. High energy underwater shock waves will be emitted from the focus that is closest to the vertex V in order to break down the kidney stone. How far from V in the vertical direction should a kidney stone be located to receive the greatest effect of the shock waves?
Answers
Answer:
27 cm
Step-by-step explanation:
You want the distance from the vertex of an ellipse to the opposite focus if the semi-major axis is 15 cm, and the minor axis is 18 cm.
Center to focusThe square of the distance from the center to either focus is the difference of the squares of the semi-axes. The semi-minor axis is half the diameter of the ellipsoid.
c² = 15² -(18/2)² = 225 -81 = 144
c = √144 = 12 . . . . . cm
Vertex to focusThe distance from the vertex (V) to the opposite focus is the distance from vertex to center plus the distance from center to focus:
15 cm +12 cm = 27 cm
The kidney stone should be located 27 cm from the vertex for greatest effect.
Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees?
Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot
Negative StartFraction 20 Over 29 EndFraction
StartFraction 20 Over 29 EndFraction
StartRoot StartFraction 20 Over 29 EndFraction EndRoot
Answers
The value [tex]Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.
Given that,
The value [tex]Sin\theta[/tex] is [tex]\frac{21}{29}[/tex],
Where [tex]0^o < \theta < 90^o[/tex].We have to determine,
The value of [tex]Cos\theta[/tex]?
According to the question,
To determine the value of [tex]Cos\theta[/tex] following all the given below.
The formula of [tex]Sin\theta[/tex] is,
[tex]Sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
On comparing to the given value of [tex]Sin\theta[/tex] is,
[tex]Sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]sin\theta=\dfrac{21}{29}[/tex]
Here, Hypotenuse = 29, and Perpendicular = 21
Then,
The formula of [tex]Cos\theta[/tex] is,
[tex]Cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
Let, the base be x,
The value of base finding by using Pythagoras theorem,
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
[tex](29)^2=(21)^2+(x)^2[/tex]
[tex]841=441+x^2[/tex]
[tex]x^2=841-441[/tex]
[tex]x^2=400[/tex]
[tex]x=20[/tex]
The value of the base is 20.
Therefore,
[tex]Cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]cos\theta=\dfrac{20}{29}[/tex]
Hence, The value [tex]Cos\theta[/tex] is 20/29.
For more details about Pythagoras theorem refer to the link given below.
https://brainly.com/question/13710437
Triangle XYZ has vertices X(−2, −1), Y(0, 2), and Z(2, −1)
Answers
The image after the rotation would be X(2, 1) Y(0,-2) and Z(-2, 1) according to the graph below.
What is a Graph?An ordered graphical depiction of numbers or variables is how this is described.
180 degrees in each direction results in (x,y) becoming (-x,-y). The coordinates are thus inverted to either positive or negative values depending on their respective signs.
A graph is a mathematical structure made up of a set of lines linking some pairs of VERTICES that may or may not be empty and a collection of points called VERTICES. Graphs are a common method for displaying the relationships between data. Although taking up less space, a graph accomplishes the goal of presenting data that are either too many or complex to be adequately described in the text.
There are eight different types: linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.
Hence, it means X(−2, −1), Y(0, 2), and Z(2, −1) = X(2, 1) Y(0,-2) and Z(-2, 1).
To learn more about Rotation, Visit
brainly.com/question/26249005
#SPJ1
Complete question -
Omar ordered a set of purple and red pins. He received 60 pins in all. 33 of the pins were purple. What percentage of the pins were purple?
Answers
55% of the pins were purple if Omar ordered a set of purple and red pins. He received 60 pins in all. 33 of the pins were purple.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants. An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
To find the percentage of purple pins, we need to divide the number of purple pins by the total number of pins and multiply by 100.
Number of purple pins = 33
Total number of pins = 60
Percentage of purple pins = (Number of purple pins / Total number of pins) x 100
= (33 / 60) x 100
= 55%
Therefore, 55% of the pins were purple.
To learn more about Algebraic expression from given link.
brainly.com/question/28884894
#SPJ1
Which equation best represents the relationship between x and y in the graph?
Ay = 3x - 2
- ¹x +3
-8-7-6-5
9
8
-7
6
S
-1
-2
-3
4
-5
-6
-7
-8
-9
4 5 6 7 8
X
Answers
An equation that best represents the relationship between x and y in the graph is: A. y = -3x/4 - 3.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At point (-4, 0), an equation of this line can be calculated by using the point-slope form:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 0 = (-3 - 0)/(0 + 4)(x + 4)
y - 0 = -3/4(x + 4)
y = -3x/4 - 3.
Read more on equation here: https://brainly.com/question/14774311
#SPJ1
URGENT: Can you find the perimeter of each polygon and type the correct code? Please remember to type in ALL CAPS with no spaces.
PLEASEEEE HELPPP NOW!!!
Answers
Perimeter of trapezoid is 35x+2, Perimeter of square is 16x-32, Perimeter of Pentagon is 10x-20 and Perimeter of rhombus is 28x+8.
What is Polygon?A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.
Perimeter of trapezoid=9x+4+7x+8+12x-2+7x-8
Add the like terms
35x+2
Perimeter of trapezoid is 35x+2
Perimeter of square= 4(4x-8)
=16x-32
Perimeter of Pentagon=5(2x-4)
=10x-20
Perimeter of rhombus=4(7x+2)
=28x+8
Hence, Perimeter of trapezoid is 35x+2, Perimeter of square is 16x-32, Perimeter of Pentagon is 10x-20 and Perimeter of rhombus is 28x+8.
To learn more on Polygon click:
https://brainly.com/question/24464711
#SPJ1
PLEASE HELP
Write the equation of the line with a y-intercept of (4,0) and an x-intercept of (0,6)
Answers
Answer:
y = -3/2x + 6
Step-by-step explanation:
Slope m = (y2 - y1)/(x2 - x1)
m = (6 - 0)/(0 - 4) = 6/-4 = -3/2
Slope-intercept form is y = mx + b
Substitue m = -3/2, y = 0, x = 4
0 = -3/2(4) + b
b = 6
y = -3/2x + 6
What function does this graph represent?
Answers
0.5(x-4)^2-5, -5 at the end of the eqn moves it down 5 units on the y axis.
(X-4) moves the graph along the xaxis to the RIGHT or positive x axis. It’s it was (x+5) you move to left!
PLSS HELP IT DUE TONIGT
Answers
Answer:
mean 36.2 median is 33
Step-by-step explanation:
For median you put the numbers in least to greatest and then find the middle which in this case is 33 and 34 so 33 is in between those two numbers so that would be the median. For the mean you add all the number together which is 362 and then divide by the number of numbers that there is which is 10
Select the correct answer. A company sells bikes that are light and fast. The revenue earned over a period of x years can be represented by the function, . The cost of manufacturing the bikes can be represented by the function, . Which function, , describes the profit earned from the sales of the bikes over a period of x years? A. B. C. D.
Answers
The function that describes the profit earned from the sales of the bikes over a period of x years is: [tex]P(x) = 100x^3 + 6x^2 + 9x[/tex]. The Option A is correct.
Which function describes the profit earned from the sales of the bikes?The profit earned from the sales of the bikes can be calculated by subtracting the cost of manufacturing from the revenue earned. Therefore, the function that describes the profit earned can be represented as:
[tex]P(x) = S(x) - C(x)[/tex]
Substituting the given functions for S(x) and C(x), we get:
[tex]P(x) = (100x^3 + 6x^2 + 97x + 215) - (88x + 215)[/tex]
Simplifying this expression, we get:
[tex]P(x) = 100x^3 + 6x^2 + 9x.[/tex]
Full question "A company sells bikes that are light and fast. The revenue earned over a period of x years can be represented by the function, S(x) = 100x3 + 6x2 + 97x + 215. The cost of manufacturing the bikes can be represented by the function, C(x) = 88x + 215. Which function, P(x), describes the profit earned from the sales of the bikes over a period of x years?"
Read more about function
brainly.com/question/10439235
#SPJ1
20. Find a \( 2 \times 2 \) matrix \( A \) for which \[ \left[\begin{array}{ll} 2 & 5 \\ 1 & 3 \end{array}\right] A=\left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right] \text {. } \]
Answers
The matrix \( A \) that satisfies the given equation is \[ A=\left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right]. \]
To find a \( 2 \times 2 \) matrix \( A \) such that \[ \left[\begin{array}{ll} 2 & 5 \\ 1 & 3 \end{array}\right] A=\left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right] \text {. } \], we can solve for A by multiplying both sides of the equation by the inverse of the left matrix. The inverse of \[ \left[\begin{array}{ll} 2 & 5 \\ 1 & 3 \end{array}\right] \] is \[ \left[\begin{array}{ll} -3 & 2 \\ 5 & -2 \end{array}\right]. \] Multiplying both sides of the equation by this inverse gives \[ \left[\begin{array}{ll} -3 & 2 \\ 5 & -2 \end{array}\right] \left[\begin{array}{ll} 2 & 5 \\ 1 & 3 \end{array}\right]A= \left[\begin{array}{ll} -3 & 2 \\ 5 & -2 \end{array}\right] \left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right], \] which simplifies to \[ A=\left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right]. \] Thus, the matrix \( A \) that satisfies the given equation is \[ A=\left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right]. \]
Learn more about matrix
brainly.com/question/28180105
#SPJ11
how much percent is 2882.45 if 3374.60 is 100%
( include working out and show answer as percentage )
Answers
Answer:
97271.1577
multiply 3374.60 by 2882.45%
You select a star without looking and then put it back. If you do this 16 times, what is the prediction for the number of times you will pick a star that is not yellow?
Answers
The predictiοn fοr the number οf times yοu will pick a star that is nοt yellοw is 0.999.
What is the prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Assuming that the stars cοme in οnly three cοlοrs (yellοw, red, and blue), and each cοlοr has an equal chance οf being selected, then the prοbability οf picking a star that is nοt yellοw is 2/3, and the prοbability οf picking a yellοw star is 1/3.
If we dο this experiment 16 times, we can use the binοmial prοbability fοrmula tο find the prοbability οf picking a nοn-yellοw star a certain number οf times:
[tex]\mathrm{P(x) = (n \ choose \ x) \times ^x \times (1-p)^{(n-x)}}[/tex]
where n is the number οf trials, x is the number οf times we want tο pick a nοn-yellοw star, p is the prοbability οf picking a nοn-yellοw star (2/3), and (1-p) is the prοbability οf picking a yellοw star (1/3).
Using this fοrmula, we can calculate the prοbability οf picking a nοn-yellοw star exactly 1 time, exactly 2 times, and sο οn, up tο 16 times. We can then add up these prοbabilities tο get the οverall prοbability οf picking a nοn-yellοw star at least οnce in 16 trials.
Alternatively, we can use the cοmplement rule tο find the prοbability οf picking a yellοw star in all 16 trials, and subtract this frοm 1 tο get the prοbability οf picking a nοn-yellοw star at least οnce:
P(nοn-yellοw at least οnce) = 1 - P(yellοw in all 16 trials)
= 1 - (1/3)¹⁶
≈ 0.999
Hence, the predictiοn fοr the number οf times yοu will pick a star that is nοt yellοw is 0.999.
To learn more about probability, Visit
https://brainly.com/question/13604758
#SPJ1
tiplication an(d)/(o)r division on the rational expressions ano (x^(2)-3x-18)/(x^(2)+10x+21)-:(x^(2)+3x-54)/(x^(2)-x-30)*(x^(2)+16x+63)/(x^(2)+14x+45)
Answers
The simplified rational expression is (x³-6x²+5x²)-30x+5x²-30x+25x-150)/(x³+17x²+75x+175)
To simplify the rational expression, we will need to use multiplication and division of the rational expressions. We will also need to factor the expressions in order to simplify them.
First, let's factor the expressions:
(x²-3x-18)/(x²+10x+21)-:(x²+3x-54)/(x²-x-30)*(x²+16x+63)/(x²+14x+45)
= ((x-6)(x+3))/((x+7)(x+3))-:((x+9)(x-6))/((x-6)(x+5))*((x+9)(x+7))/((x+9)(x+5))
Next, let's simplify the expressions by canceling out the common factors:
= (x-6)/(x+7)-: (x+9)/(x+5)*(x+7)/(x+5)
= (x-6)/(x+7)-: (x+9)(x+7)/(x+5)(x+5)
Now, let's multiply the expressions:
= (x-6)(x+5)(x+5)/(x+7)(x+5)(x+5) - (x+9)(x+7)(x+7)/(x+7)(x+5)(x+5)
Finally, let's subtract the expressions:
= ((x-6)(x+5)(x+5) - (x+9)(x+7)(x+7))/((x+7)(x+5)(x+5))
= (x³-6x²+5x²-30x+5x²-30x+25x-150)/(x²+17x²+75x+175)
Therefore, the simplified rational expression is:
= (x³-6x²+5x²-30x+5x²-30x+25x-150)/(x³+17x²+75x+175)
Learn more about rational expression at https://brainly.com/question/8045768
#SPJ11
Please help meeeeeee
Answers
Answer:
She earns $2,560
Step-by-step explanation:
She earns 2,560 because this is 8% of 32000. How do we know?
Multiply 32000 by 0.088, which is 8% of 100.
pls help me with this math assignment ! give you a like
pic down below ⬇️
Answers
The three points that are not collinear are J, K and L
The three points that are not collinearIn geometry, points that are not collinear are points that do not lie on the same straight line. i.e. points that are not collinear are points that are not on the same line
Using the above as a guide, the non-collinear points are points J, K and L
How to determine the opposite raysOpposite rays are two rays that have the same endpoint and extend indefinitely in opposite directions.
Using the above definition, we have
Opposite rays = HG and HI
Another name for line JHThe line JH can be named based on its endpoints
So, another name for JH is HJ
Planes that contain HLThree points are required to form a plane
This means that the planes that contain HL can be named as GHL and JHL
There are other planes that contained HL too
Sketch of planes that intersect in line pSee attachment for the sketch
Read more about plane and points at
https://brainly.com/question/12227980
#SPJ1
How do you find the vertex and y-intercept of a quadratic function
Answers
Answer:
The graph is a parabola that opens downward. Generally, a parabola has the following equation: y=ax2+bx+c If a is positive it opens upward
Find the scalar equation for the plane passing through the
points P1=(−3, 5, 3), P2=(−5, 0, 6), and P3=(−1, 10, −1).
Answers
The scalar equation of the plane is -5x - 2y = 5.
To find the scalar equation for the plane passing through the points P1=(−3, 5, 3), P2=(−5, 0, 6), and P3=(−1, 10, −1), we need to follow these steps:
1. Find the vectors P1P2 and P1P3 by subtracting the corresponding coordinates of the points:
P1P2 = P2 - P1 = (-5 - (-3), 0 - 5, 6 - 3) = (-2, -5, 3)
P1P3 = P3 - P1 = (-1 - (-3), 10 - 5, -1 - 3) = (2, 5, -4)
2. Find the normal vector to the plane by taking the cross product of P1P2 and P1P3:
n = P1P2 x P1P3 = (-5 * (-4) - 3 * 5, 3 * 2 - (-2) * (-4), -2 * 5 - (-5) * 2) = (-5, -2, 0)
3. Find the scalar equation of the plane by substituting one of the points and the normal vector into the general equation of a plane:
ax + by + cz = d
-5 * (-3) + (-2) * 5 + 0 * 3 = d
d = 5
Therefore, the scalar equation of the plane is -5x - 2y = 5.
Learn more about scalar
brainly.com/question/21925479
#SPJ11
Gary earns $9.12 per hour at his job. He worked 24 hours last week. Calculate Gary's pay before taxes.
Answers
Gary's pay before taxes is $218.88.
Gary's pay before taxes can be calculated by multiplying his hourly rate by the number of hours he worked.
Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.
Step 1: Identify the hourly rate and number of hours worked.
Hourly rate: $9.12
Hours worked: 24
Step 2: Multiply the hourly rate by the number of hours worked.
$9.12 * 24 = $218.88
Step 3: The result is Gary's pay before taxes.
Gary's pay before taxes is $218.88.
To learn more about taxes here:
https://brainly.com/question/1775528#
#SPJ11
Segment in a circle: XY=
Answers
Find the volume of each figure round to nearest hundredth if needed
Answers
For the given cuboid, it's volume value is deduced as 30 cm³.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The figure is given as a cuboid.
The length of the cuboid is 5 cm.
The breadth of the cuboid is 6 cm.
The height of the cuboid is 1 cm.
The formula for volume of cuboid is given as -
Volume = length × breadth × height
Substitute the values into the equation -
Volume = 5 × 6 × 1
Volume = 30 cm³
Therefore, the volume value is obtained as 30 cm³.
To learn more about volume from the given link
https://brainly.com/question/1972490
#SPJ1
What is the common ratio of this geometric sequence
Answers
Answer:
what about you read well and stop cheating
If \( \sin \alpha=12 / 13 \), and \( \cos \alpha=5 / 13 \), then \( \tan \alpha=? \) a) \( 5 / 12 \) b) \( 7 / 13 \) c) \( 12 / 5 \) d) \( 13 / 12 \)
Answers
The correct answer is c) \( 12 / 5 \).
We can use the relationship between the sine, cosine, and tangent of an angle to find the value of the tangent. The formula is:
\( \tan \alpha = \frac{\sin \alpha}{\cos \alpha} \)
Plugging in the given values for the sine and cosine of alpha, we get:
\( \tan \alpha = \frac{12 / 13}{5 / 13} \)
Simplifying the fraction, we get:
\( \tan \alpha = \frac{12}{5} \)
Therefore, the correct answer is c) \( 12 / 5 \).
In conclusion, if \( \sin \alpha=12 / 13 \), and \( \cos \alpha=5 / 13 \), then \( \tan \alpha=12 / 5 \).
Learn more about sine, cosine and tangent
brainly.com/question/13813821
#SPJ11
If f(x) = 3x² + 2x - 10, what is f(2)?
Answers
Answer:
f(2)=3x²+2x-10
f(2)=3(2)² +2(2)-10
=12+4-10
=6
Find the length of each leg,hyp,opp,adj
Answers
The length of the legs are 2 units and 3.464 units
How to determine the length of the legsFrom the question, we have the following parameters that can be used in our computation:
The triangle
The legs can be calculated using sine and cosine ratios
Using the above as a guide, we have the following:
sin(30) = PQ/Hyp
cos(30) = RQ/Hyp
Substitute the known values in the above equation, so, we have the following representation
PQ/4 = 0.5
RQ/4 = 0.8660
So, we have
PQ = 4 * 0.5
RQ = 4 * 0.8660
Evaluate
PQ = 2
RQ = 3.464
Hence, one of the leg is 3.464 units
Read more about right triangle at
https://brainly.com/question/2437195
#SPJ1
2. Write an equation with the given characteristics: a. Goes through: \( (2,13) \) and \( (2,-11) \)
Answers
An equation passing through the points (2, 13) and (2, -11) is x = 2.
The equation of a line can be written in the form of y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line that goes through the given points, we first need to find the slope. The slope can be calculated using the formula:
[tex]\[m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\][/tex]
Plugging in the given points, we get:
[tex]\[m = \frac{-11 - 13}{2 - 2} = \frac{-24}{0}\][/tex]
Since the denominator is 0, the slope is undefined. This means that the line is vertical. A vertical line has the equation x = a, where a is the x-coordinate of any point on the line. Since both of the given points have the same x-coordinate of 2, the equation of the line is x = 2.
Therefore, the equation with the given characteristics is x = 2.
See more about equation at https://brainly.com/question/13763238.
#SPJ11
cups pineapple juice 24 cups orange juice 46 cups seltzer 72 How many servings can be made from 108 cups of punch?
Answers
Answer:
First, find the total number of cups of liquid in the punch:
24 cups pineapple juice + 46 cups orange juice + 72 cups seltzer = 142 cups
Then, divide the total cups of liquid by the amount of liquid in each serving:
108 cups / 142 cups per serving = 0.76 servings
Therefore, approximately 0.76 servings can be made from 108 cups of punch.
Read and interpret the following conditions imposed on the variables \( a, b, c, d \), and \( x \). Determine and state whether the statements in Exercises 1 - 12 are true or false. If they are false,
Answers
The given conditions imposed on the variables \( a, b, c, d \) and \( x \) are:
\( a+b = c \) \( d = a^2 + b^2 \) \( x = a^3 + b^3 \)
To determine if the statements in Exercises 1-12 are true or false, use the given conditions to evaluate the expressions in the statement. If the statement matches the conditions, it is true; if it does not, it is false. For example, if the statement is: " \( a + b = d \) ", then this is false, as \( a + b \neq d \).
Learn more about variables
brainly.com/question/17344045
#SPJ11
