Answers
9514 1404 393
Answer:
a. (1.4, 2.6)
b. (3, 2)
Step-by-step explanation:
a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.
For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...
(c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0
Then the equation of the perpendicular bisector of MN is ...
(-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0
-6(x -1) +4(y -2) = 0
3x -2y = -1 . . . . divide by -2 and put in standard form
Similarly, the perpendicular bisector of NO is ...
(0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0
2(x +1) +2(y -5) = 0
x + y = 4 . . . . divide by 2 and put in standard form
So, the point of intersection is ...
(3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st
5x = 7 . . . . . . simplify
x = 1.4 . . . . . . divide by 5
y = 4-1.4 = 2.6 . . . . . find y from the second equation
The coordinates of the circumcenter are (1.4, 2.6).
__
b. The centroid is the average of the vertex coordinates.
centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3
centroid = (3, 2)
Related Questions
What is the lateral surface area of the square pyramid represented by this net?
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If you know the answer to this just put it down below
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Do ACT score reports come in the mail or is it just accessible online?
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I believe it should come in the mail and online x
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Answer:
B
Step-by-step explanation:
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identify the percent of change as an increase or a decrease 3/8 to 7/8
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Answer:
133.5
Step-by-step explanation:
A line has a slope of 5 and y-intercept of -2. What is its equation in slope-intercept from? Write your answer using interfere, proper fraction and improper fractions in simplest form.
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Answer:
y=5x-2
Step-by-step explanation:
whats 2÷1 to the 2nd power
Answers
Answer: its going to be 2
Step-by-step explanation: simplify 1 to the second power would be 1*1 and 2 divide by 1 is 2 hope this helps :D
Answer:
4
Step-by-step explanation:
j /-2 + 7 = -12. what is the value of j
Answers
Answer:
j = 38Explanation:
ʲ⁄₋₂ + 7 = -12
Subtract 7 From Both Sides
ʲ⁄₋₂ + 7 - 7 = -12 - 7
Simplify
ʲ⁄₋₂ = -19
Multiply Both Sides By -2
(-2) ʲ⁄₋₂ = -19 (-2)
j = 38Answer:
38
Step-by-step explanation:
What is 234475 x 45678 =?
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Solve the system by graphing.
y=2x+4
y=-x+1
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Answer:
Step-by-step explanation:
I'm confused can someone maybe help me? (Picture below)
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Answer:
hlo ji good evening ji please follow me
WILL MARK YOU BRAINLIEST
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Answer:
because JKML is a parallelogram
=> JK // ML
=> KJM + LMJ = 180⁰
<=> 3x + 20 + 5x - 8 = 180⁰
<=> 8x = 168
<=> x = 21
with x = 21 => L = 4.21 - 1 = 84 - 1 = 83⁰
the value of y is proportional to x when x=3 then y=15 which equation represents the relationship between x and y?
Answers
Answer:
explaination
Step-by-step explanation:
# carry on learning
The solution is, A. y = 5x, the equation represents the relationship between x and y.
What is equation?An equation can be stated as a mathematical statement that is made up of two expressions connected by an equal sign. In its normal form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Direct proportion equation:
y = kx, where k is the coefficient of proportionality
We have:
x = 3 and y = 15
Using the equation to find the value of k:
15 = 3k
k = 15/3
k = 5
The equation of the line:
y = 5x
Correct choice is A
Hence, The solution is, A. y = 5x, the equation represents the relationship between x and y.
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Estimate 13.5 km to miles ASAP!!!
Answers
Answer:
8.388511
Step-by-step explanation:
Divide by 1.609
ILL GIVE BRAINLIEST FOR FIRST ANSWER!
Divide.
12÷18
Answers
Answer:
0
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Answers
Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
each unit cube measured 1 inch3. what is the maximum volume of the prims
Answers
Answer:
1 x 3 x 1 = 3
Step-by-step explanation:
Use the GCF and the distributive property to find the sum of 22+33
Answers
Answer:
22 + 33 = 55 the GCF of 22 and 33 is 11
Step-by-step explanation:
The sum of 22 and 33 by using distributive property will be; 55.
How to find Greatest common factor?The greatest common factor, as the name implies, is the greatest among all common factors among the quantities given.
We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Factors:
22: 1 ,2, 11, 22
33: 1, 3, 11, 33
Both the numbers have a GCF of 11. Then by removing 11 from both numbers you end up with:
22 = 2 x 11
33 = 3 x 11
Now replace the values on the right of the equals sign into the original equation then;
(2 x 11) + ( 3 x 11)
The distributive property allows us to remove the common values and rewrite them;
11(2 + 3)
11(5)
55
The sum of 22 and 33 by using distributive property will be; 55.
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Use the information to find an equation (y=mx+b) for the amount of Sponsorship money (Y) you an make for each day of the trip. Show your work and explain your steps below. Coca Cola 5 days - $134 10 days - $164 15 days - $194 20 days - $224
Answers
Answer:
y = 6x + 104
Step-by-step explanation:
Given the equation in the form:
y = mx + b
m = slope ; b = intercept
Given the data:
5 days - $134 10 days - $164 15 days - $194 20 days - $224
To obtain the slope, Pick the points :
(5, 134) and (20, 224)
Slope = y2 - y1 / x2 - x1
Slope, m = (224 - 134) / (20 - 5) = 90 / 15 = 6
Plugging into the equation :
We have ;
y = 6x + b
Picking any point from the data and plugging in to solve for b:
(10, 164)
164 = 6(10) + b
164 = 60 + b
b = 164 - 60
b = 104
Equation finally becomes ;
y = 6x + 104
In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color marble are MOST likely to be choose?
Answers
Answer:
Its red becasue 1/2 is greater than all of them
The most likely color of the marble that will be chosen is red.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of red marbles in the bag=1/2
Number of blue marbles in the bag=1/4
Number of green marbles in the bag=1/6
Number of yellow marbles in the bag=1/12
Now,
To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.
To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:
Probability of selecting a red marble = 6/12
Probability of selecting a blue marble = 3/12
Probability of selecting a green marble = 2/12
Probability of selecting a yellow marble = 1/12
Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.
Therefore, by probability the answer will be red marble.
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Write the equation of the line that passes through the points (-2, -8) and (8,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
slope is 0
y-(-8)=0(x-(-2))
y+8=0(x+2) no solution
Step-by-step explanation:
[tex]\frac{-8-(-8)}{8-(-2)} =0/10[/tex]
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Answer:
The answer is C trust me I did this
what is the circumference of a circle that that is d=23 ft.
Answers
Answer:
72.26ft
Step-by-step explanation:
Choose 3 answers
A. Obtuse triangle
B. Isosceles triangle
C. Acute triangle
D. Scalene triangle
E. Right triangle
F. Equilateral triangle
Help !
Answers
Answer:
C:Acute traingle
Acute traingle
I know this triangle is equilateral and acute, but I'm not sure what the third choice would be.
Alicia purchased h half gallons of ice cream for 3.50 each p packages of ice cream cones for 2.50 each she purchased 14 items and spent 43$ which system of equations could be used to determine how many of each item Alicia purchased
Answers
Answer:
H + P = 14
3.50H + 2.50P = 43
Step-by-step explanation:
Given that
H denotes half gallons of ice cream
P denotes packages of ice cream cones
Now
H + P = 14
And,
3.50H + 2.50P = 43
So, the systems of equations would be
H + P = 14
3.50H + 2.50P = 43
i’ll mark brainliest
Answers
What are the points Please ASAP
Answers
Answer:
(0,1)
(0,-3)
(-2.5.-3)
Step-by-step explanation:
pls give me brainliest
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I don’t know step by step
I don’t now how to do it please help
Answers
Hey guys again please I suck at math
Answers
Answer:
the correct answer is number 2
Step-by-step explanation:
X3 - 4x - 16x-24
Answer:
the answer is B
Step-by-step explanation:
X3-4x2-16x+24
Can someone please help me with b c and d?
Answers
Answer:
DO NOT CARE
Step-by-step explanation:
Angles 1 and 2 are supplementary.
• The measure of angle 1 is (2x - 3) ◦
• The measure of angle 2 is (-5x + 423) ◦
What is the measure of angle 2?
Answers
Answer:
1 = 157°
2 = 23°
Step-by-step explanation:
because the angles are supplementary, their angles will add up to 180°set up the equation (2x-3)+(-5x+423)=180combine like terms to get -3x+420=180subtract 420 from 180 to get -3x=-240divide by three and get x=80now plug in 80 for x in both equations