Given:
Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).
To find:
The intersection of the diagonals of square ABCD.
Solution:
We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.
In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.
We can find midpoint of either AC or BD because both will result the same.
Midpoint of A(-4,6) and C(4,-2) is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(0,2\right)[/tex]
Therefore, the intersection of the diagonals of square ABCD is (0,2).
The number line represents −4 1/2+3 1/4. What is the sum?
Answer:
C
Step-by-step explanation:
Rbrberbrb
Answer: Its c
=- 1 1/4
hey any help is appreciated
Answer:
a positive querlashon the lower they studied the lower grade they got
Step-by-step explanation:
A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp
Answer:
Step-by-step explanation:
12,345/60=205.75 hours
l
safe to say 205 hours and 45 minutes
12 AM January 2nd 24 hours
12 AM Jan 3rd 48 hours
......
12 Am Jan 9th 192 h
it is Jan 9th, 1:45 PM
The date and time 12,345 minutes after the start of the new year will be 9 January.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A new year begins at 12:00 AM on January 1.
The number of days in time 12,345 minutes will be
⇒ 12345 / (60 x 24)
⇒ 8.5729 days
Then the date and time 12,345 minutes after the start of the new year will be 9 January.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Which expression is equivalent to 9 + 8?
A. 3 to the power of 3 + 2 to the power of 4
B. 3 to the power of 2 + 2 to the power of 3
C. 3 to the power of 2 + 2 to the power of 3
D. 3 to the power of 3 + 2 to the power of 3
Answer:
i think it is A
Step-by-step explanation:
The options are <,>,=
Answer:
<
Step-by-step explanation:
please please please please
find the slope please
The slope of the line is 2.
The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.
May I have brainliest please? :)
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
How is 75% of 60 minutes 45?
Answer:
It just is see explanation
Step-by-step explanation:
75% is equal to 0.75, or 3/4. If you multiply the full 60 minutes to 3/4, then your product is 45 minutes. That's how 75% of 60 minutes is 45 minutes.
Answer: 75% of a number is the same thing as 3/4 of the number.
so for example, divide 100 by 4. you get 25 right?
right, so multiply 25 by 3 and you get 75. That's what 3/4 of something is.
now divide 60 by 4. you get 15 right?
right, so multiply 15 by 3, and you get 45 :)))
that's why 75% of 60 is 45.
i hope this helps!!
BTW when you get a question with percentages, you can flip them! In this case it doesn't really help to do so, but for example if you had a question asking:
what is 16% of 50?
FLIP IT. it's the same thing as 50% of 16!!! This works with like any percentage!!!
Exploring Unit Rates on Graphs -
The graph shows the rate at which paint is used to paint a wall.
Enter values to complete each statement below based on the graph.
Answer:
1 gallon of paint will paint 400 ft² of the wall
Unit rate = 400 ft² per gallon
Step-by-step explanation:
From the graph, when 1 gallon of paint was used, (x = 1), an area of 400 ft² of the wall was painted (y = 400).
Unit rate = y/x. That is, the amount of square feet of wall that would be painted using 1 gallon of paint.
Unit rate = 400 ft²/1 gallon = 400 ft²/gallon.
car travels 177 milies in 3 hours at a constant speed. Which unit ratio represents the speed of the car?
Answer:
59 miles per hour
Step-by-step explanation:
Consider f(x)=7x^2+8/x−6. Complete the following statements.
As x→∞, f(x)→
As x→−∞, f(x)→
As x→6+, f(x)→
As x→6−, f(x)→
Answer:
A
Step-by-step explanation:
Iwis
Rotate the vector (5,1) 90°
clockwise about the origin.
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
To learn more about the transformations click here :
brainly.com/question/28029674
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Describe the triple constraint. What are the three components and what is the relationship between them
Answer:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce.
The three components are Budget, time, and scope.
The relationship between them is an interdependent or triangular shape.
Step-by-step explanation:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce. Budget, Scope and Time.
Budget - The budget describes the estimated cost of the project. Time: The time represents the deadline to complete the project.Scope: This is simply what needs to be provided.These 3 components are dependent to each other.
For example, if time is restricted then scope and budget will be affected. similarly.
The relationship between the three is that one of the two other components must decrease while one component increases for the project to succeed as expected.
which ofthe following are equalivilent to -7?
-49/-7
0/-7
49/-7
-21/3
21/3
(Pic provided)
243 is equivalent to...
0 35
94
28
3
Help I’m timed :(
Answer:
The answer is 3⁵
Step-by-step explanation:
3×3×3×3×3
9×9×3
81×3
243
A ferris wheel can fit 75 people in 25
minutes. Calculate the unit rate of people
per minute.
Answer:
3people/minute
Step-by-step explanation:
75/25=3
pls help asap!!!!!!!
Answer:
Angle ∠A = 93°'
Angle ∠B = 66.163°
Angle ∠C = 20.837°
Side a = 39.30337
Side b = 36
Side c = 14
Step-by-step explanation:
IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL
How can a number line help in ordering rational numbers:
How are number lines and the coordinate plane related:
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?
A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.
A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.
Answer:
1: It places them in an order sequentially relative to each other.
2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.
3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.
4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.
5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.
Step-by-step explanation:
Mandi has $52 and would like to buy some magazines. Each magazine costs $8. How many magazines can Mandi buy? How much more money would she need to buy another magazine?
Is this a function?
Find the missing side length in the right triangle below.
Answer:
69
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
16
Answer: [tex]8\sqrt{3}[/tex]
Step-by-step explanation: x^2 + b^2 = c^2 x^2 + 8^2 = 16^2 x^2 + 64= 256 x^2= 192 x= [tex]\sqrt{192}[/tex] x= 8[tex]\sqrt{3}[/tex]
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.
Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Can anyone please help me?
the art students are using clay. Each student needs 9/10
Answer:
ok mam yes mam going to do my clay
How can I tell that a graph is a function or not?
Answer:
You can use the vertical line test, which means anywhere you put it on the graph it should only pass through the line once.
Step-by-step explanation:
This insures that the graph does not have two of the same x values. However if it has two points that have the same x values that means it will not be a function.
(2+6 +8+54 +...);S 12
I don't know what i am doing wrong pls hel
find the angle which y= equals to root 3 x -4 makes with yaxis
9514 1404 393
Answer:
30°
Step-by-step explanation:
The angle a line makes with the x-axis is arctan(slope). Here, that is ...
angle with x-axis = arctan(√3) = 60°
So, the angle made with the y-axis is the complement of this:
angle with y-axis = 90° -60° = 30°
