Determine the type(s) of the triangle with the given coordinates. X(6,1) Y(-2,-3) Z(0,3)
Answers
The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
The given coordinates are X(6,1) Y(-2,-3) Z(0,3).
What are coordinates?A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.
We know that, Distance formula \(=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }\)
Now, \(XY=\sqrt{(-2-6)^{2}+(-3-1)^{2} }=\sqrt{80}\) units
\(YZ=\sqrt{(0+2)^{2}+(3+3)^{2} }=\sqrt{40}\) units
\(XZ=\sqrt{(0-6)^{2}+(3-1)^{2} }=\sqrt{40}\) units
Here, \(YZ=XZ\)
Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
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Related Questions
An article is marked to sell at a gain of 10%. If it be sold for Rs. 7.50 less there would be loss of 5%, find the cost price.
Answers
Answer:
750,. is answer
I hope it helps
Each of the counting problems below can be solved with stars and bars. For each, say what outcome the diagram
∗∗∗|∗||∗∗|
represents, if there are the correct number of stars and bars for the problem. Otherwise, say why the diagram does not represent any outcome, and what a correct diagram would look like.
a.) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different flavors?
b.) How many ways can you distribute 5 identical lollipops to 6 kids?
c.) How many 6-letter words can you make using the 5 vowels in alphabetical order?
d.) How many solutions are there to the equation. show bars and stars.
x1+x2+x3+x4=6.
Answers
Figure ABCD is a parallelogram.What is the value of x?ABO 6O 7O 8O95x + 338DС
Answers
Given the parallelogram:
A parallelogram has equal opposite sides.
Thus, we have the following:
AD = BC
AB = DC
Since the opposite sides are equal
5x
When computing a correlation coefficient, if you have the degrees of freedom of 55, your sample size must be:
Answers
Answer: Your sample size must be 57 .
Step-by-step explanation:
The degrees of freedom of a data describes the number of data values that are free to vary.The degrees of freedom(df) require to calculate the correlation coefficient is N-2, where N is the sample size.
If Degrees of freedom(df) is given as 55, then
N-2 =55
Add 2 on both sides , we get
N= 55+2=57
Therefore , the required sample size = 57
a boy was 28 inches tall. Currently, he is 25% taller. How
tall is the boy now?
Answers
Answer:
21 inches
Step-by-step explanation:
If the boy is 25% smaller, that means his current height is 75% of his previous height. 75% of 28 is 0.75 * 28 which is 21.
Hope this helps :)
Answer:
35 inches tall. (This is assuming they want him to be 25% taller. Using the past tense of 28, I assume this is growth.)
Step-by-step explanation:
25% is 25/100 therefore we get 1/4 which gives us 28/4 = 7.
So this makes the boy 7 inches taller than 28.
28 + 7 = 35
Making him 35 inches tall.
Your friend Michelle just graduated and has two job offers that she is considering. Both job offers pay the same, but JobA
contributes $1,700 annually to Michelle's retirement plan while Job B does not offer a retirement plan at all. Assuming that Michelle
will be at her first job for 5 years and that she will earn 6.60% annually on her retirement savings plan, how much will Michelle have
in her retirement plan at Job A? (Round answer to nearest whole number)
Answers
Money offered to Michelle per annum in Job A = $1700
Number of years she will work in job A = 5
Percentage of earnings per annum for her retirement plan = 6.60%
Money she will earn will be the simple interest at the end of 5 years.
We know that :
\(\color{plum}{ \tt{Simple \: interest = \frac{Principle \ \: \times \: Rate \: \: \times \: \: Time}{100} }}\)
Principal = $1700
Rate = 6.60%
Time = 5 years
Which means :
\( = \frac{1700 \times 6.60 \times 5}{100} \)
\( = \frac{56100}{100} \)
\( = \color{plum}\$561\)
We also know that :
\(\color{plum}\tt \: Amount = Principal + Interest \)
Amount Michelle will earn at the end of 5 years for her retirement plan :
\( = 1700 + 561\)
\( =\color{plum}\bold{\$ 2261}\)
2261 can be rounded off to 2260.
Therefore, Michelle will earn $2260 at the end of 5 years for her retirement plan.
xA radioactive isotope is decaying at a rate of 20% every hour. Currently there are 15 grams of the substance.
Questions:
A. Write an equation that will represent the number of grams present after n hours
B. How much will be left after 24 hours (one day)? (Round to the nearest hundredth)
C. After how many hours will there be approximately one gram left?
Answers
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
A. To represent the number of grams present after n hours, we can use the equation:
N(n) = 15 × (1 - 0.2)^n
Where:
N(n) is the number of grams present after n hours,
15 is the initial amount of the substance in grams,
0.2 represents the decay rate of 20% per hour, and
^n represents the exponentiation operation.
B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:
N(24) = 15 × (1 - 0.2)^24
Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.
C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:
1 = 15 × (1 - 0.2)^n
To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:
log(0.8)(1/15) = n
Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.
Therefore, the answers are:
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
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Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answers
Answer:
x > -5, so the correct answer is C.
A tree was 17 feet tall when it was planted. It grew 8 times that height in 15 years. How much taller is the tree than when it was planted?
Answers
Answer:
119
Step-by-step explanation:
17 * 8 = 136
136-17 to get the answer
Solve linear differential equations.
a. (x + 2)² (dy/dx) = 5-8y - 4xy
Answers
The value of y for the linear differential equation is:
y= [5(x³+6x²+12x)/3(16+32x+24x²+8x³+4x⁴)] + c₁ /(16+32x+24x²+8x³+x⁴)
How to solve the differential equation?You should know that a differential equation is in which we find the value of y with respect to x
The given parameter is
(x-2)² dy/dx = 5-8y-4xy
Differentiate y with respect to x to have
y= [5(x³+6x²+12x)]/[3(16+32x+24x²+8x³+x⁴)] + c₁/(16+32x+24x²+8x³+x⁴)]
Recall that the differential equation is (x-2)² dy/dx = 5-8y-4xy
Solving the Ordinary Differential Equation we have
y= y= [5(x³+6x²+12x)]/[3(16+32x+24x²+8x³+x⁴)] + c₁/(16+32x+24x²+8x³+x⁴)]
In conclusion, the value of y is: y= [5(x³+6x²+12x)]/[3(16+32x+24x²+8x³+x⁴)] + c₁/(16+32x+24x²+8x³+x⁴)]
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The following picture shows a number line.
Each hash on the number line represents one unit. Which of the following statements is true?
A. The sum of points A, B, C, and D is greater than zero.
B. The sum of points B and C is greater than point A.
C. The sum of points A and B is greater than point C.
D. The opposite of point A is less than point D.
Show work here.
Answers
Answer:
We conclude that only option B is true.
i.e. The sum of points B and C is greater than point A
Step-by-step explanation:
Given the location of points on the left side of the number line
A=-6
B=-5
Given the location of points on the right side of the number line
C=3
D=4
Checking the statement A
The sum of points A, B, C, and D is greater than zero.
i.e. A+B+C+D > 0
-6 + -5 + 3 + 4 > 0
-11+7 > 0
-4 > 0
Thus,, this statement is false
Checking the statement B
The sum of points B and C is greater than point A
B+C>A
-5+3 > -6
-2 > -6
Thus, this statement is true.
Checking the statement C
The sum of points A and B is greater than point C
A+B > C
-6 + -5 > 3
-11 > 3
Thus, this statement is false
Checking the statement D
The opposite of point A is less than point D
As
A = -6
opposite of point A = -(-6)=6
The opposite of point A < D
6 < 4
Thus, this statement is false
Therefore, we conclude that only option B is true.
i.e. The sum of points B and C is greater than point A
Find an equation for the perpendicular bisector of the line segment whose endpoints are (5,5)(5,5) and (-9,9)(−9,9).
Answers
The equation of the perpendicular line is
y = (7/2)x + 14
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Line segment with two endpoints (5, 5) and (-9, 9)
The slope of the line segment.
m(1) = (9 - 5) / (-9 - 5) = 4 / -14 = -2/7
m(1) = -2/7
Now,
The equation of the perpendicular line.
y = m(2)x + c.
Since the line is perpendicular to the line segment.
m(1) x m(2) = -1
-2/7 x m(2) = -1
m(2) = 7/2
Now,
The perpendicular bisector passes through the midpoint of the line segment.
The midpoint of the line segment.
x = (5 - 9) / 2 = -4/2 = -2
y = (5 + 9) / 2 = 14/2 = 7
Now,
The equation of the perpendicular line.
y = m(2)x + c.
7 = 7/2 x -2 + c
7 = -7 + c
c = 7 + 7 = 14
Thus,
The equation of the perpendicular line is
y = (7/2)x + 14
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Write the fraction as a mixed number 10/20
Answers
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
![What is the meaning of "[tex]F=\left \{ (x,y):\varphi (x,y,p) \right \}[/tex]"?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qPezzQZ7dJhdA0YcETQG5fBdyZW4BfQR.png)
Answers
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of
Answers
Answer:
Step-by-step explanation:
18 tiles and 10 shaded in
whats 2+9 if right you get brainly crown
Answers
Answer:
11
Step-by-step explanation:
2+9=11
2+1=3
2+2=4
2+3=5
2+4=6
2+5=7
2+6=8
2+7=9
2+8=10
2+9=11
THEN FIND THE VALUE OF X
Answers
Answer:
Supplementary
x = 31
Step-by-step explanation:
The given angles are supplementary which means their sum is equal to 180
3x + 25 + 2x = 180 add like terms
5x + 25 = 180 subtract 25 from both sides
5x = 155 divide both sides by 5
x = 31
(6x+9)/2=?
please help
Answers
The value of x in the expression given is -7/6
Solving the given equation(6x + 9)/2 =
First step is to cross multiply
6x + 9 = 2
Collect like terms
6x = 2 - 9
6x = -7
divide both sides by 6 to isolate x
x = -7/6
Therefore the value of x in the expression given is -7/6
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Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $5 for children. One hundred twenty-three adults and children attended, and $829 was made in ticket sales. How many children and how many adults went to the film premiere? A. 20 children; 103 adults B. 16 children; 107 adults C. 10 children; 113 adults D. 13 children; 110 adults
Answers
Answer: B
Step-by-step explanation: 16 x 5 = 80
107 x 7 = 749
80 + 749 = 829
Determine whether each ordered pair is a solution of the equation y=2x+6
Answers
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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PLEASE HELP PLEASE HELPPP
Answers
Answer:
40
Step-by-step explanation:
The LCM is forty.
PLEASE MARK AS BRAINLIEST!
Answer:
40
Step-by-step explanation:
2/5 = 16/40
1/8 = 5/40
solucion plis 4x- 2x > -8 -6
Answers
The answer is,
\(x > - 7\)
hope it helps.
Answer:
x>-7
Step-by-step explanation:
4x-2x>-8-6
-2x>-14
x>-7
M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Answers
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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100 Points! Geometry question. Photo attached. Find x and y in the right triangle. Please show as much work as possible. Thank you!
Answers
Answer:
x = 10.5
y =5.25
Step-by-step explanation:
sin60° = 21√3/x
√3/2 = 21√3/x
=> x = 21√3/√3/2 = 10.5
cos60° = y/x
1/2 = y/10.5
y = 10.5/2 = 5.25
Jackie used a photocopier to reduce an image that was 4 inches wide and 6 inches long. If the reduced image was 4 inches long, how wide was the reduced image
Answers
The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
What is Area?An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.
Given:
The initial length of the image, l = 6 inches,
The initial width of the image, w = 4 inches,
The reduced length of the image, L = 4 inches,
The area of the initial image = The area of the reduced image,
l × w = L × W
Here W is the reduced width.
Substitute the values,
6 × 4 = 4 × W
W = 6 inches,
Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
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Paul is building bookshelves to sell at a
furniture store. First, he built 2 small
bookshelves and 9 large bookshelves, using a
total of 525 nails. Later, he built 2 small
bookshelves and 4 large bookshelves, using a
total of 270 nails. How many nails does Paul
use to build the shelves?
Paul uses
bookshelf and
large one.
nails to make each small
nails to make each
Answers
The number of nails that Paul used to build the shelves would be = 795 nails.
How to calculate the total number of nails?At first, the total number of small bookshelves he built = 2 small bookshelves.
The total number of large bookshelves = 9
The total number of nails he used = 525 nails
Later, the total number of small bookshelves = 2
The total number of large bookshelves = 4
The total number of nails = 270
Therefore the total number of nails for both occasions = 525+270 = 795 nails.
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Question 1. Chose the quadrilaterals that have the following property! * 1 point This geometry shape has 4 sides. Quadrilateral Square Rhombus Triangle Kite Circle
Answers
Answer:
quadrilateral
Step-by-step explanation:
A 4-sided polygon is a quadrilateral.
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Ty
-10-8-6
10
8
6
-6
8
-10-
6
10
X
Which describes all of the values for which the graph is
positive and decreasing?
O all real values of x where x < -1
O all real values of x where x < 1
O all real values of x where 1
O all real values of x where x > 3
Answers
Answer:
all real values of x where x < -1
The correct statement is all real values of x where x < -1.
Option A is the correct answer.
We have,
To determine the values for which the graph of the function
f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.
Let's consider the factors individually:
(x - 3): This factor is positive for x > 3 and negative for x < 3.
(x + 1): This factor is positive for x > -1 and negative for x < -1.
To determine the overall sign of the function, we need to consider the signs of both factors together.
When both factors are positive or both factors are negative, the function is positive.
When the factors have opposite signs, the function is negative.
From the above analysis, we can conclude the following:
When x > 3, both factors are positive, so the function is positive.
When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.
When x < -1, both factors are negative, so the function is positive again.
Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).
Thus,
The correct statement is all real values of x where x < -1.
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Find the total value of an investment of $12,700 at 8.8% for 1 year to the nearest dollar.
Answers
Answer:
$13,817.60
Step-by-step explanation:
Interest earned = $12,700 × \(\frac{8.8}{100}\) × 1
= $1,117.60
Total earned = $1,117.60 + $12,700
= $13,817.60
Which values from the set make this inequality true?
4n<16 ; {1, 2, 3, 4}
Select each correct answer.
1
2
3
4
Answers
Answer:
4
Step-by-step explanation:
The answer would be D
Answer:
1,2,3
Step-by-step explanation:
you cant let them be equal its an inequality