The quadrilateral is a parallelogram.
Properties of parallelogram,
a>The opposite sides of the parallelogram are equal and parallel.
b>parallel lines have an equal slope.
Let now find the length of the opposite side of the parallelogram
To find the length we have ,
[tex]\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}[/tex]
(-2, 3) , (-2, 6)
Slope = 6-3/ -2+2 = infinity
Length L1 = [tex]\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }[/tex]
= 9
(-6, -1), (-6, 2)
Slope = 2+1/ -6 + 6 = infinity
Length L2 = [tex]\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }[/tex]
= 9
Therefore the given vertices are of a parallelogram, as the length and slope are equal.
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what does X equal? 3/ax - 4 = 20
X=
Answer:
3/ax-4=20
first add 4 to both sides
3/ax=20+4
multiply by a/3
24a/3
so x=8a
Answer: 1/8a
Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.
Please answer the two question in the photo [ Brainliest + points ]
Answer:
i think there both obtuse
Can someone please help with this
Answer:
a=57 degree
b = 24 degree
c = 39 degree
d = 60 degree
Step-by-step explanation:
angle a = YWX = YZX = 57
angle b = ZWY = ZXY = 24
angle c = WYX = WZX = 39
angle d = WYZ = WXZ = 60
the sum of 3 and p divided by q ( its not 3+p/q apparently because thats wrong on my thing)
Answer:
[tex] \frac{3 + p}{q} [/tex]
Step-by-step explanation:
Because it says 3 and p then you divide both of them by q
Hope this helps!
If you have any questions ask!
You have to add 3 and p before dividing by q.
(3 + p)/q
reggie drew a scale drawing of a swimming pool. the scale of the drawing was 4 millimeters : 3 meters. the pool is 24 meters long in real life. how long is the pool in the drawing?
The pool that Reggie drew will be 24 millimeters long, compare to real life which is 24 meters long.
As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length. As we are given, the scale of the drawing is 4 millimeters: 3 meters, which means 1 millimeter is equal to 3/4 meters, and the size of the pool in real life is 24 meters.
So, the length of the pool in the drawing is = 24*(3/4)
= 24 millimeters
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Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?
Please answer this and I'll give 30 points!
√x-3 +3=x
is it extraneous or not?
Answer:
extraneous
Step-by-step explanation:
extraneous
The area of a square garden is 9 m2 . how long is each side of the garden
Answer:
A=9cm square
or,l square=9 cm square
or,l=3 cm.
samuels m, witmer j, and schaffner a, (2016) statistics for the life sciences (5th or global edition), boston, ma: pearson
This is 5th edition of the book.
Statistics a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data
This is a book related to statistics for the life sciences which was written by three persons named MYYRA L SAMUELS, JEFFERY A WITNER, ANDREW SCHAFFNER. This book is fully related to life sciences .
It depicts how many no. of animals found in the region and what is the no. of lions or how many giraffe is found in that area or how many different species is found in particular area.
So, all these things they are given with the help of statistics.
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How to solve this????
Answer:
3 x 2 5/6 y 7/6 x 8/3
^3 x
Step-by-step explanation:
20. The population of a town increased from 60,450 to 95,610 in one decade. What was the
relative change of the population?
(a) 58.2% (b) 36.8% (c) 158.2% (d) -36.8%
A. 58.2%
this is because
(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%
Answer:
A
Step-by-step explanation:
Change in population/ original number
[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712 This is the answer as a decimal. Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.
What are the key features of the function below
NEED TO ANSWER ASAP
The function is positive on (-4, -3), and (-1, 4),
the function is negative on (-3, -1),
the function increases on (-2, 2), and
the function decreases on (-4, -2) and (2, 4).
The key features of the function given in the graph are:
Positive intervalsNegative intervalsIncreasing intervalsDecreasing intervalsPositive intervals:
Here we need to say at which intervals the value of the graph is positive.
That is at which intervals the graph is above the x-axis.
It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)
Negative intervals:
Here we need to say at which intervals the value of the graph is negative.
That is at which intervals the graph is below the x-axis.
It is clear from the graph that the function is negative on (-3, -1).
Increasing intervals:
Here we need to say at which intervals the value of the function increases.
That is at which intervals the graph goes upwards when the value of the x increases.
It is clear from the graph that the function increases on (-2, 2).
Decreasing intervals:
Here we need to say at which intervals the value of the function decreases.
That is at which intervals the graph goes downwards when the value of the x increases.
It is clear from the graph that the function decreases on (-4, -2) and (2, 4).
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Find the approximate side length of a square game board with an
area of 184 in2
The approximate side length of a square game board with an
area of 184 in² is 14 inches
Area of a squareThe formula for calculating the area of a square is expressed as;
A = l²
where
l is the side length of a square
Given the following parameters
A = 184 square inches
Substitute
184 = l²
l = √184
l = 13.56
Hence the approximate side length of a square game board with an
area of 184 in² is 14 inches
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Please find the slope
Hi please help and show how you got to your answer! Thank you
Answer: PQ=15
Step-by-step explanation:
XY=(PQ+SR)/2
PQ+SR=2*XY
PQ+35=2*25
PQ+35=50
PQ=15
What is the slope of the line that passes through the points (−4,−6) and (1,−6)?
What is the answer to this problem?
Answer:
8
Step-by-step explanation:
Given: x=2
Then,
5x-2 = 5(2)-2
= 10-2
=8
simplify (-1 + 6i) + (5 - 2i) - (8i)
April received a $75 gift card to the book store. she wants to purchase some books that cost $9 each. she also found a movie that cost $12. how many books (b) can she buy?
Answer:
Step-by-step explanation:
$75 gift card
$12 for movie
$9 for book
$75 - $12 = $63
$63 divided by $9 = 7
So she can by 7 books
sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y
(1) y-intercept is 490 and the slope is -2/3.
(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.
(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.
(4) The graph of the function is attached below.
(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.
(6) The equation is y = (-2/3)x + 300.
(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.To learn more about slope, visit :
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Write out the sample space for the given experiment. Use the letter r to indicate red, g to indicate green, and b to indicate blue. A die shows 3 different colors on it. Give the sample space for the next 2 rolls.
The sample space for the given experiment is
{ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
What is Sample Space?A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.
The die consists of 3 different colors namely red, green and blue
Here, the number of variables is 3 i.e red, green and blue.
The subset will contain
= [tex]2^{3}[/tex]
=8 elements.
The red color is indicated by 'r'
The green color is indicated by 'g'
The blue color is indicated by 'b'
The events that can appear in a single roll is r, b or g.
Sample space for the next 2 rolls
={ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
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Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.
Answer: 2a-2ab+7
Step-by-step explanation:
6a-5ab+8-(4a-3ab+1)=
6a-5ab+8-4a+3ab-1=
2a-2ab+7
Answer:
2a - 2ab - 9b + 7
Step-by-step explanation:
The step here is to collect the like terms available like this;
6a - 5ab - 9b + 8
- 4a - 3ab - 0 + 1
which is = 2a - 2ab - 9b + 7
what is the value of 125 ⅔ ?
Answer:125.666
Step-by-step explanation:
Sove for x: 3 - (2x - 5) < - 4(X + 2)
Inequality Form:
x<−8
Interval Notation:
(−∞,−8)
Simplify
3−(2x−5),
−2x+8<−4(x2)
Simplify −4(x+2).
−2x+8−4x−8
Move all terms containing x to the left side of the inequality.
2x+8<−8
Move all terms not containing x to the right side of the inequality.
2x<−16
Divide each term in 2x<−16by 2 and simplify.
x<−8
The result can be shown in multiple forms.
Inequality Form:
x<−8
Interval Notation:
(−∞,−8)
What is inequality form ?
The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.
What is interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.
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a child puts $1.00 into a piggy bank. one week later, he puts $1.25 in the bank. two weeks later, he puts $1.50 in the bank, and so on. how much money does he put in the bank on the 25th week?
He puts 100$ in the bank on the 25th week.
What is a bank?An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.
Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.
Explanation:
First term([tex]a_{1}[/tex])= 1
Common difference= 1.25-1=0.25
[tex]a_{25}[/tex]=1+(25-1).25
=1+(24)(.25)
= 1+6
=7
[tex]S_{25}[/tex]=25/2 (1+7)
=25/2 (8)
=100
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Find f(4)
if f(x) = -2x² + 4
====================================================
Work Shown:
[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]
Explanation:
Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.
What is 2x - 4/2 = 11
Answer: 13/2
Step-by-step explanation:
Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?
Answer:
8 tacos
Step-by-step explanation:
40 tacos to 15 students
8 tacos to 3 students
15/3 =5, so divide 40 by 5 to get 8
Meena drove 245 miles in 5 hours. if she continued at the same rate, how long would it take to travel 196 miles
Meena would take 4 hours to drive 196 miles.
We will begin with calculation of number of miles Meena drives in 1 hour. We need to perform division as per the formula given below to find the speed. Then we will calculate the time required for driving 196 miles.
So, formula stating rate or speed of driving -
Speed = distance ÷ time
Keep the values in formula to find the speed
Speed = 245 ÷ 5
Performing division
Speed = 49 miles per hour
So, Meena drives 49 miles in 1 hour.
For driving 196 miles, the time required = (1 ÷ 49) × 196
Performing multiplication and division
Time required = 4 hours
Hence, Meena will require 4 hours to drive 196 miles.
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Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4