Answers
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
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Related Questions
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A bag contains three green marbles, four blue marbles, and two orange
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Answers
Answer:
7/9
Step-by-step explanation:
There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!
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1
Step-by-step explanation:
Answer:
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Answers
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Step-by-step explanation:
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Annabelle has $600 in a savings account that earns 2% simple interest for 6 years. Caroline has $400 in a savings account that earns 3% simple interest for 6 years. Whose account will have more money in it after the 6 years? How much more money will they have in their account?
Answers
Answer:
Step-by-step explanation:
Using the formula for calculating Amount;
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What is the value of the function for x = 2? HELP!
Answers
Answer:
-2
Step-by-step explanation:
Follow you finger 2 marks on the x axis and then move your finger up or down to say the resulting y value
Jean picks peaches during her summer vacation. She gets paid $0.60 for each pound of peaches picked. Jean averages 45 pounds per hour.
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B.It takes Jean 36.6
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 5 hours.
cannot be determined
1,018.5 miles
339.5 miles
9.9 miles
Answers
Hey there!
x = 5
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-67.9(5) = -339.5
NEW EQUATION: “y = -339.5 + 679”
Solve above ^
Answer: y = 339.5 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
339.5 m
Step-by-step explanation:
The bar diagram represents 24 hours in one day and shows a mark at 30%
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24
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Percent
0%
30%
100%
hours
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Answers
Answer:
7.2 hours slept
Step-by-step explanation:
30%>.30
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Answer:
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Step-by-step explanation:
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Answer:
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Order of Operations: BPEMDASEquality PropertiesAlgebra I
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Step 1: Define systems
13x - 6y = 22
x = y + 6
Step 2: Solve for y
Substitution
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options
A)
Both points are in the solution set.
B)
Neither of the points is in the solution set.
C)
The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.
D)
The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.
Answers
Answer: the answer is A.
Step-by-step explanation:
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Answers
Answer:
215.
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
The new ordered pair for point Q' are: Q' (5, 7)
Step-by-step explanation:
Q = (-5, 7)
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(x, y) → (-x,y)
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B)9
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Answers
Answer:
A. 8
Step-by-step explanation:
Answer:
A/8
Step-by-step explanation:
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Answer:
2x+216
Step-by-step explanation:
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Answer:
A is Phosphourous, B is Oxygen
Step-by-step explanation:
The highest boiling point on the chart is 280 which belongs to Phosphouors, meaning that it has the highest boiling point. If you count it out, -183 you'd have to add 183 to get to 0, with 184 you would have to minus 184 to get to 0. So therefore oxygen's boiling point is closer to iodine.
50 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?
Answers
Answer:
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Step-by-step explanation:
23/50 of Xander's friends prefer to stay home on Friday nights.
What percent of Xander's friends prefer to stay home on Friday nights?
% of Xander's friends that prefer to stay home on Friday nights
= 23/50 × 100
= 0.46 × 100
= 46%
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
HEELLLPPPP MEEE 100 POINTS!!!
Juan has a collection of 13 dice, 5 of which have eight sides. If Juan randomly rolls 4 dice, what is the probability that exactly 2 of the chosen dice have eight sides? Write your answer as a decimal rounded to four decimal places.
Answers
Answer:
38
Step-by-step explanation:
Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. (0,0), (16,4), (4,6) b. (3,4), (11,12), (8,15)
Answers
Answer:
The answer is below
Step-by-step explanation:
a) The equation of a line passing through the point (0,0) and (16,4) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]
We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).
The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]
The slope of a line passing through the point (16,4) and (4,6) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1/6 and passing through the point (0,0).
The line perpendicular to a line with slope -1/6 has a slope of 6
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]
Solving y = 6x and y = -4x + 22, gives:
x = 2.2, y = 13.2
Hence the orthocenter is at (2.2, 13.2)
b)
The slope of a line passing through the point (3,4) and (11,12) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]
We have to find the equation of the line perpendicular to the line with slope of 1 and passing through the point (8,15).
The line perpendicular to a line with slope 1 has a slope of -1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]
The slope of a line passing through the point (11,12) and (8,15) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1 and passing through the point (3,4).
The line perpendicular to a line with slope -1 has a slope of 1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]
Solving y = -x + 23 and y = x + 1, gives:
x = 11, y = 12
Hence the orthocenter is at (11, 12)