The required ordered pair, when graphed, would be on the same line as (1,3) and (4,9) is (-2,-3).
Option (B) is correct.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given:
The given points is
(1,3) and (4,9)
According to given question we have
The points is
(1,3) and (4,9)
Plot the ordered pairs Draw a line through the points to indicate all of the points on the line.
The points lie on the given point is (-2,-3).
Therefore, the required ordered pair, when graphed, would be on the same line as (1,3) and (4,9) is (-2,-3).
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which table of values satisfies the linear equation y= -4/7x -2
Answer:
The answer is:
x y
−14 6
0 0
14 −10
Mark as Brainliest!
Answer:
x y
−7 2
0 −2
7 −6
Step-by-step explanation:
Trust me the other guy is wrong i took quiz
What is -1/2 times 1/4-3/8?
Answer:
The answer is -0.5
Step-by-step explanation:
Jamar earns a salary of $34,800 per year. His employer withholds 1/10 of this amount for federal taxes, and Jamar puts 1/4 of his remaining salary in a savings account and spends the rest of his salary during the year.
How much does Jamar’s employer spend during the year, in dollars?
Jamar’s employer spent $3,480 during the year , in dollars
What the Jamar's employer spend mean in this context?
This means the amount of federal taxes that the employer has withheld from the gross salaries in the year which would be remitted to the relevant tax authority on the behalf of the Jamar.
The amount withheld is 1/10 of Jamar's salary which is 10% of Jamar's salary of $34,800, which is computed 1/10 multiplied the salary amount
federal taxes withheld=1/10*$34,800
federal taxes withheld=$3,480
The amount that Jamar has saved in the savings account is one-fourth or 25% of the annual salary
amount saved in savings account=25%*$34,800
amount saved in savings account=$8,700
In other words, $8,700 of the annual salary of $34,700 has been saved for the year
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Surface area question:
Answer:
190π (not part of the answer choices)
Step-by-step explanation:
The surface area of a cylinder can be found using the formula below:
\(SA=2\pi r^2+\pi dh\) where \(r\) is the radius of the base, \(d\) is the diameter of the base and \(h\) is the height of the cylinder.
Plug in the given values
\(SA=2\pi (\frac{10}{2}) ^2+\pi (10)(14)\\SA=2\pi (\frac{100}{4})+140\pi\\SA=2\pi (25)+140\pi\\SA=50\pi+140\pi\\SA=190\pi\)
Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.
I hope this helps!
hurry please!! The equation cos35°=a/25. What is the length of the line BC? Round to the nearest 10th
Answer:
25 is the same lenghth rounded
Step-by-step explanation:
aproximitly it rounded to the 10
Write an Equation and solve.10. If tickets to a concert cost $18. How many tickets can you buy with $150?Let x =EquationX=
Let x = Number of tickets
So, the equation is
\(18x=150\)Solve for x:
\(\begin{gathered} \frac{18x}{18}=\frac{150}{18} \\ x=8.33 \end{gathered}\)Answer: x = 8.33
Josh practice gymnastics each day after school the data shows the lengths of time josh practiced gymnastics for two weeks
Make a Tally table and line plot to show data
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer
Make a tally table and line plot to show the data.
Time (in hours) Tally Total
\(\frac{1}{4}\) // 2
\(\frac{1}{2}\) / 1
\(\frac{3}{4}\) /// 3
1 //// 4
Hope it will find you well.
The triangles below are similar. Triangle A has a side lengths with the measure 3m,5m, and 4m. Triangle b has side lengths with the measure 12m, 20m, and x
Find the value of x
Answer:
x=16
Step-by-step explanation:
You multiply 4 by 4 because when you multiply 3by 4 you get 12, when you multiply 5by 4 you get twenty and since they are similar triangles you have to multiply 4 by 4
What is the prefix for the number of mole of water present in this hydrates formula BaCl2⋅ 6H2O? A. penta B. hexa C. hepta D. octa
The prefix for the number of moles of water present in the hydrate formula BaCl2⋅6H2O is "hexa."
In this hydrate formula, BaCl2 represents the anhydrous salt, which means it does not contain any water molecules. The "6H2O" portion represents the number of water molecules that are attached to each formula unit of the anhydrous salt.
The prefix "hexa" indicates that there are six water molecules present in this hydrate formula. This prefix is derived from the Greek word "hexa," which means "six."
Therefore, the correct answer is B. hexa.
The mole signifies 6.02214076 1023 units, which is a very big quantity. For the International System of Units (SI), the mole is defined as this quantity as of May 20, 2019, according the General Conference on Weights and Measures. The number of atoms discovered via experimentation to be present in 12 grammes of carbon-12 was originally used to define the mole.
In commemoration of the Italian physicist Amedeo Avogadro (1776–1856), the quantity of units in a mole is also known as Avogadro's number or Avogadro's constant. Equal quantities of gases under identical circumstances should contain the same number of molecules, according to Avogadro.
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what is the unite rate of 4 inches of snow in 5 hours
Answer:
4/5 inches of snow per hour
Step-by-step explanation:
let 's' = snow
5 hrs / 4 inches = 1 hr / s
cross-multiply to get:
5s = 4
s = 4/5
4/5 inches of snow per hour
If I take the shortest route do I take a new road ? Please explain. How far is the longer route than the shorter route and assume they are all straight. This is Pythagorean theorem.
Answer:
the new road is new so it will be a new way which makes it shorter if yuo think about it
Roberto must make his costume for his school play. He needs a piece of fabric that is 2 2/3 yards long and 1 1/2 yards wide. What is the piece of fabric Roberto needs?
Answer:
He will need 8.34 yards of fabric.
Step-by-step explanation:
Given that,
The length of the fabric, l = 2 2/3 yards = 8/3 yards
The width of the fabric, b = 1 1/2 yards = 3/2 yards
We need to find the piece of fabric Roberto needs. It is equal to the perimeter of the fabric such that,
\(P=2(l+b)\\\\P=2(\dfrac{8}{3}+\dfrac{3}{2})\\\\P=2\times \dfrac{25}{6}\\\\P=8.34\ \text{yards}\)
So, he will need 8.34 yards of fabric.
Come on guys where are you answering this words problem
Answer:
After 6 months, Casey would pay $360 to join either gym.
Step-by-step explanation:
At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 35x + 150
At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 60x
Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:
35x + 150 = 60x
Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x
Divide both sides by 25: 150/25 = 25x/25 or x = 6
So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60(6) = $360.
If he is planning on canceling in 5 months, the better option would be the second gym that costs $60 per month
I hope this helps!!!
Select all the rectangles that have an area of 15/24 square inches.
Answer:
BDStep-by-step explanation:
Area of a rectangle
Base x HeightRectangle B
3/8 x 5/3 = 15/24 square inchesRectangle D
5/4 x 3/6 = 15/24 square inchesAnswer:
Options B and D
Step-by-step explanation:
Step 1: Determine the area of Option A
\(A = l * w\)
\(A = (5/8\ in) * (10/3\ in)\)
\(A = 50/24\ in^2\)
\(A = 25/12\ in^2\)
Step 2: Determine the area of Option B
\(A = l * w\)
\(A = (5/3\ in) * (3/8\ in)\)
\(A = 15/24\ in^2\)
Step 3: Determine the area of Option C
\(A = l * w\)
\(A = (8/6\ in) * (7/4\ in)\)
\(A = 56/24\ in^2\)
\(A = 7/3\ in^2\)
Step 4: Determine the are of Option D
\(A = l * w\)
\(A = (3/6\ in) * (5/4\ in)\)
\(A = 15/24\ in^2\)
Step 5: Determine the area of Option E
\(A = l * w\)
\(A = (5/15\ in) * (3/9\ in)\)
\(A = 15/135\ in^2\)
\(A = 1/9\ in^2\)
Answer: Options B and D
Please solve #2. This is for 15 points
Answer:
The answer to this is Kristin is 18 years old..
Step-by-step explanation:
A line segment has endpoints at (4.-6) and (0,2).
What is the slope of the given line segment?
What is the midpoint of the given line segment?
What is the slope of the perpendicular bisector of the given line segment?
What is the equation, in slope-intercept form, of the perpendicular bisector?
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2)
m = \(\frac{2+6}{0-4}\) = \(\frac{8}{-4}\) = - 2
---------------------------------------
Find the midpoint using the midpoint formula
M =( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
= \(\frac{4+0}{2}\) , \(\frac{-6+2}{2}\) ) = (2, - 2 )
-----------------------------------------------
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\)
----------------------------------------------
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = \(\frac{1}{2}\) , thus
y = \(\frac{1}{2}\) x + c ← is the partial equation
To find c substitute (2, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y = \(\frac{1}{2}\) x - 3 ← equation of perpendicular bisector
Answer:
-2(2, -2)1/2y= 1/2x - 3Step-by-step explanation:
Points given: (4, -6) and (0, 2)
Slope intercept form of the line going through the given pints:
y= mx+b
m= (y2-y1)/(x2-x1)= (2+6)/(0-4)= -2 slope is -2y= -2x+b ⇒ -6= -2*4+b ⇒ b= 8-6= 2 ⇒ y= -2x+2
Mid point= (x1+x2)/2, (y1+y2)/2= (4+0)/2, (-6+2)/2= (2, -2)The slope of the perpendicular bisector is the negative reciprocal of the line segment which it is dividing:
m'= -1/m= -1/-2= 1/2Equation of perpendicular bisector:
y= 1/2x+bIt passes through the mid point: (2, -2), so
b= y - 1/2x= -2 - 1/2*2= -2 -1= -3So the equation of perpendicular line:
y= 1/2x - 3a) He ate 4/10 of the pie.Write the decimal for the amount of pie he ate
Answer:
0.4
Step-by-step explanation:
4 / 10 = 0.4
0.4 is the decimal for the amount of pie he ate.
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
You will discover through this project whether a human's arm span (measured across the body with the arms extended) is correlated to his height.
You will need to collect data from 11 people, which will give you 12 data points including your own personal data. You will turn in and answer questions regarding only one scatter plot if doing the project alone.
Part One: Measurements
Measure your own height and arm span (from finger-tip to finger-tip) in inches. You will likely need some help from a parent, guardian, or sibling to get accurate measurements. Record your measurements on the "Data Record" document. Use the "Data Record" to help you complete Part Two of this project.
Measure 11 additional people, and record their arm spans and heights in inches.
Part Two: Representation of Data with Plots
Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
Part Three: The Line of Best Fit
Include your scatter plot and the answers to the following questions in your word processing document.
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept form of the line
Part two
Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
part three
Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
The diagram relating to the scatterplot for the data is attached.
How to explain the scatterplot?I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.
I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.
The slope represents the rate of change arm span based on height. The y intercept is the arm span.
Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
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what is the value of x that makes 2/3 to 9 and x to 36.
Answer:
Hope this helps :)
Step-by-step explanation:
2/3 to 9
x to 36
36/9 = 4
\(\frac{2}{3}*4\) = x
x = \(\frac{8}{3}\)
the result of a number when increased by 15% is 161. Find the number
Answer:
(15×7)×29/€549×898×68
Last quarter, 84 seventh grade students made honor rolls. if there are 400 students in the seventh grade, what percent made honor rolls.
M is directly proportional to r cubed. When r=4, M=160.
A) Work out the value of M when r=2.
B) Work out the value of r when M=540.
Answer:
A. M= 20
B. r = 6
Step-by-step explanation:
M=kr³
where k is the constant
M= 160 , r 4
160= k(4)³
k = 160/4³= 2.5
A. when r= 2 , M= kr³
M= 2.5(2)³ = 20
B. when M= 540, find r
M= kr³
r³ = M/k
r³ = 540/2.5
r³= 216
r = 6
d(1) = 3
d(n) = 2 x d(n − 1)
Step-by-step explanation:
two cards are drawn from a deck of 52 cards without replacement. (a) what is the probability that the second card is a heart, given that the first card is a heart? (b) what is the probability that both cards are hearts, given that at least one of them is a heart?
(A) The probability that the second card is a heart, given that the first card is a heart, is 12/51.
(B) The probability that both cards are hearts, given that at least one of them is a heart, is 585/1326.
(a) The first card is a heart, there are 51 cards remaining in the deck, with 12 hearts remaining.
Favorable outcomes: The second card is a heart (12 hearts remaining).
Total outcomes: There are 51 possible cards to draw as the second card.
Therefore, the probability that the second card is a heart, given that the first card is a heart, is 12/51.
(b) At least one of the cards is a heart, there are two cases to consider
1. Both cards are hearts.
2. One card is a heart, and the other is not a heart.
Case 1: Both cards are hearts.
Favorable outcomes: There are 13 hearts in the deck, and we need to choose 2 of them.
Total outcomes: There are 52 cards in the deck, and we need to choose 2 of them. So, the number of favorable outcomes is C(13, 2) = 78.
Case 2: One card is a heart, and the other is not a heart.
Favorable outcomes: There are 13 hearts in the deck, and we need to choose 1 of them. The remaining card can be any of the 39 non-heart cards.
Total outcomes: There are 52 cards in the deck, and we need to choose 2 of them. So, the number of favorable outcomes is 13 × 39 = 507.
Total favorable outcomes: Summing up the favorable outcomes from both cases, we get
78 + 507 = 585.
Total outcomes: There are 52 cards in the deck, and we need to choose 2 of them. So, the total number of possible outcomes is
C(52, 2) = 1326.
Therefore, the probability that both cards are hearts, given that at least one of them is a heart, is 585/1326.
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How much greater is the surface area of the rectangular prism than the surface area of the cube.
The surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.
Here, we are given a rectangular prism and a cube as shown in the figure below.
The three sides of the prism are- 2, 3 and 6
Thus, the total surface area of the cube will be-
2 [(2*3) + (3*6) + (6*2)]
= 2[6 + 18 + 12]
= 2*36
= 72 cm square
Now, the side of the cube is 3 cm
Thus, the total surface area of the cube will be-
6( 3*3 )
= 6*9
= 54 cm square
Thus, the difference between the surface area of prism and cube is = 72 - 54
= 18 cm square.
Thus, the surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.
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Your question was incomplete. Check for the missing figure below.
Convert the angle 1 radian to degrees, rounding to the nearest 10th.
Answer:
57
Step-by-step explanation:
57 rad×180/pie
ans:57.296 round to 10th
equals 57
The value of the angle 1 radian to a degree is 57.25.
What is a radian?The standard unit of angular measurement used in many branches of mathematics is the radian, indicated by the symbol rad. It is the unit of angle in the International System of Units. Previously, the unit was a SI supplementary unit.
The one radian is equal to the 180 divided by π. So the value of one radian in degree will be calculated as,
1 Radian = 180 / π
1 Radian = 57.25°
Therefore, the value of the one radian in degree is equal to 57.25.
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which form can beused to determine the slope of this equation 3f-s=24
The slope of the equation of the line 3f - s = 24 is 3.
How to find the slope of an equation?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptTherefore, let's model the equation of the line y = mx + b to 3f - s = 24. Then, we can locate the slope in the equation.
Hence,
3f - s = 24.
add s to both sides of the equation
3f - s + s = 24 + s
3f = 24 + s
subtract 24 from both sides of the equation
3f = 24 + s
3f - 24 = 24 - 24 + s
s = 3f - 24
Therefore, the slope is 3.
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what is the value of x in the equation x= 2arcsin1/2
Step-by-step explanation:
it depends if you use degrees or radians as angle measure.
let's assume degrees.
arcsine is the inverse function of sine.
so, when sin(x) = 1/2, arcsin(1/2) = x
when now x = 2×arcsin(1/2), we get
x = 2×30 = 60°
represent 0.4323232323232 in the form of p/q
The decimal number 0.4323232323232 can be represented as the fraction 3.8909090909092/9.
To represent the decimal number 0.4323232323232 in the form of p/q, where p and q are integers, we can follow the steps below.
Let x = 0.4323232323232.
Step 1: Multiply x by a power of 10 to eliminate the repeating decimal.
10x = 4.323232323232.
Step 2: Subtract x from 10x to eliminate the non-repeating part.
10x - x = 4.323232323232 - 0.4323232323232
9x = 3.8909090909092.
Step 3: Express 9x as a fraction p/q.
9x = 3.8909090909092
x = 3.8909090909092 / 9.
In summary, 0.4323232323232 in the form of p/q is 3.8909090909092/9.
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to find the solution to a system of linear equations, verdita begins by creating equations for the two sets of data points below.data set aa 2-column table with 4 rows. column 1 is labeled x with entries negative 1, 1, 5, 7. column 2 is labeled y with entries negative 6, 2, 18, 26.data set ba 2-column table with 4 rows. column 1 is labeled x with entries negative 5, negative 2, 0, 6. column 2 is labeled y with entries negative 1, 2, 4, 10.which equations could verdita use to represent the data sets?
The equations Verdita could use to represent the data sets include the following:
A. Data Set A: y = 4x-2
Data Set B: y = x +4
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of data set A;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (2 + 6)/(1 + 1)
Slope (m) = 8/2
Slope (m) = 4
At data point (1, 2) and a slope of 4, a linear equation for data set A can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 4(x - 1)
y = 4x - 2
At data point (0, 4) and a slope of 1, a linear equation for data set B can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = 1(x - 0)
y = x + 4
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.