A square has the vertices at (- 2, 6), (6, 1), (1, - 7) , and (- 7, - 2) . At what point do the diagonals of the square intersect?
Answers
Answer:
Intersection point is: (-1/2, -1/2)
Step-by-step explanation:
Notice from the attached image of the points on the plane, that opposite vertices are for example:
(-2, 6) and (1, -7), and we know that in a square, the diagonals intersect dividing themselves in equal parts. So what we need to find is the midpoint of the segment that joins (-2, 6) and (1, -7) to find where the diagonals intersect.
We use the formula for the midpoint:
x-midpoint = (x1 + x2) / 2
y-midpoint = (y1 + y2) / 2
In the case of the points (-2, 6) and (1, -7) these become:
x-midpoint = (-2 + 1) /2 = -1/2
y-midpoint = (6 + -7) / 2 = -1/2
Related Questions
13x = 130 Solve for x
Answers
Answer:
x = 10
Step-by-step explanation:
You need to isolate x, so divide by 13. 130/13 = 10.
Simplified, x = 10.
The solution to the given equation is 10.
The given equation is 13x = 130.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, transpose 13 to the other side of the equation, we get
13x = 130
x=130/13
x=10
Therefore, the solution to the given equation is 10.
To learn more about an equation visit:
brainly.com/question/14686792.
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The area of a regular nonagon is 150 square cm. What is the area of a regular nonagon with sides three times the sides of the smaller nonagon?
Answers
Answer:
1,350 square cm
Step-by-step explanation:
As we all know, we have to square a dimension of length to get the dimension of an area
So in this case, since the dimension of the length is increasing by a factor of 3, the dimension of the area will be increasing by a factor which is square the factor by which the dimension of the side is increasing
Thus, we have the area dimension increase by a factor of 3^2 = 9 times the area of the smaller
nonagon
So the area of the bigger nonagon will be :
150 * 9 = 1,350 square cm
I need help answer ASAP please
Answers
A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many miles is the trip?
Answers
Answer:
The trip contains 4 miles.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptGiven that A taxi charges $1.75, meaning the initial condition of the trip is to charge $1.75.
Thus, y-intercept b = 1.75
Also, the taxi charges a fee of $0.75 for each mile traveled.
Thus, rate of change or slope m = 0.75
Let 'y' be the total cost
Let 'x' be the number of miles
Given that the total cost of a ride, without a tip, is $4.75.
so substitute y = 4.75, rate of change or slope m = 0.75, and the y-intercept b = 1.75 in the slope-intercept form of the line equation
y = mx + b
4.75 = 0.75(x) + 1.75
switch sides
0.75(x) + 1.75 = 4.75
subtract 1.75 from both sides
0.75x + 1.75 - 1.75 = 4.75 - 1.75
0.75x = 3
divide both sides by 0.75
0.75x/0.75 = 3/0.75
x = 4 miles
Therefore, the trip contains 4 miles.
"Twelve less than a number is greater than that same number divided by two?
Answers
Answer: UNSPECIFIC
Step-by-step explanation:
x-12>x/2 This is what the question says but I don't know what you are asking for
Help, please.
Which table shows a proportional relationship between x and y?
x 3 5 7 8
y 1.5 2.5 3 4.5
x 1 2 3 6
y 1.5 3 6 9
x 1 3 4 5
y 50 150 200 250
x 2 4 5 6
y 6 12 18 21
Answers
Answer:
d
Step-by-step explanation:
if am not wrong I think the answer is d the last one
Answer:
c
Step-by-step explanation:
1x50=50 1x5=5
3x50=150 3x5=15
4x50=200 4x5=20
5x50x250 5x5=25
what is 220% of 15? ............
Answers
Answer:
33
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer: 33
Step-by-step explanation: Write 220% as 220/100
Finding the fraction of a number is same as multiplying the fraction with the number 220/100 of 15
220/100 x 15
Therefore, the answer is 33
Allan needs 3 quarts of water to fill a pot for soup.How many times of he need to fill an 8-ounce measuring cup to fill the pot
Answers
Answer:
12 times
Step-by-step explanation:
1 quart = 32 ounces
3 quart = x
x = 3 × 32 ounces
x = 96 ounces
The number of times of he need to fill an 8-ounce measuring cup to fill the pot is calculated as:
= 96 ounces/8 ounces measuring cup
= 12 times
Therefore, Alan needs to fill an 8 ounce measuring cup 12 times in order to fill the pot of soup.
The half-life of uranium-238 is 4.5 x 10*9 years. the half-life uranium-238 is 2.5 x 10*5 years. How many times greater is the half-life uranium-238 than that of uranium-234?
Answers
Answer:
Step-by-step explanation:
Note: If the 9 and 5 are exponents, they should be indicated with a ^, not *.
(4.5*10^9)/(2.5*10^5) = (4.5/2.5)*10^(9-5) = 1.8*10^4 = 18000
The half-life of uranium 238 is 18000 times the half-life of uranium 234.
Tanee claimed that if two adjacent angles form a right angle then they are supplementary. This statement is true. always sometimes never
Answers
Answer:
lkmjnhbvc xzsxfghj
Step-by-step explanation:
Answer:
never true
Step-by-step explanation:
How should you divide by a fraction?
A Flip the first fraction and divide.
B Multiply by the reciprocal of the second fraction.
C Flip the first fraction and multiply.
D Divide by the reciprocal of the second fraction.
Answers
Answer:
i think your answer is B.
Answer:
ans b is right pls follow
whats the measure of P?
Answers
Answer: The measure of angle P = 29°
Step-by-step explanation:
We can find the interior supplementary angle at Q by subtracting
180- 56 = 124
The sum of the interior angles must be 180, so we can add ∠Q + ∠R
124 + 27 = 151
Then subtract that from 180:
P = 180 - 151
P = 29°
Answer:
Step-by-step explanation:
hiii back
Find the slope of the line through each pair of points.
(-12, 10), (0, 20 )
Answers
Answer: M=5/6
Step-by-step explanation:
Use the slope formula to find the slope
Consider this system of equations. Which shows the first equation written in slope-intercept form? One-half (2 y + 10) = 7 x. y = 8.
Answers
Answer:
The first one
Step-by-step explanation:
y=mx+b is the formula
Answer:
it is answer c
Step-by-step explanation:
Divide 2(x^4 +9) by x(x^2 +1)
Answers
1. We need to perform a division by multiplying the dividend with the reciprocal of the divisor. We can apply this rule:
[tex](\frac{A}{B})/(\frac{C}{D} )=(\frac{A}{B}) (\frac{C}{D})[/tex]In the problem... [tex]2(x^4 +9)/x(x^2 +1)[/tex]
A = [tex]2(x^4+9)[/tex]B = 1C =[tex]x(x^2+1)[/tex]D = 1[tex]2(x^4 +9)/x(x^2 +1)[/tex] changes to [tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex]
2. We need to get rid of all the parenthesis in this term. [tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex]
All negative factors will change the sign.In the problem [tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex] there isn't any negative factors. So the sign will not change.[tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex] is now [tex]2(x^4+9)(\frac{1}{x(x^2+1)}[/tex]
3. Lastly, we need to perform a multiplication.
We can use this rule: [tex]\frac{A}{B} C=\frac{AC}{B}[/tex]In the problem [tex]2(x^4+9)(\frac{1}{x(x^2+1)}[/tex] the new factors on the numerator are: [tex]2, (x^4+9), 1[/tex]Notice that all non-fraction factors are placed in the numerator.The new factors in the denominator are: [tex]x, (x^2+1),[/tex]Therefore, the answer is: [tex]\frac{2(x^4+9)}{x(x^2+1)}[/tex]
1. Carter sold 9 of his video games online. The next day, he sold
27 video games. He collected a total of $900. If he charged the
same amount for each video game, how much did he sell each
game for?
Answers
Answer:
$25
Step-by-step explanation:
total of 36 games sold, gained a total of $900. To find the cost of each game, divide 900 by 36, which is 25. So each game costs $25.
Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?
A 20
B 15
C 16
D 18
Answers
Answer:
D
Step-by-step explanation:
Because 90/5=18
Answer:
18
Step-by-step explanation:
90 Divided by 5=18
Find the 8th term of the geometric sequence 10, -40, 160, ...
Answers
Answer:
hgfgbffvghgdv check g tunic
A comic book collector buys a comic book for $120 and sells it for $250. Find the percent change. type your answer...
Answers
Help is appreciated thank you very much!
Answers
Answer:
-3/5
Step-by-step explanation:
Slope is calculated with the formula m=(y_2 - y_1)/(x_2-x_2). The starting point I put as (0,0) and the finish is (5,-3). I used one city block is equal to one. Thus 3 blocks south(y-axis), is -3 and 5 east(x-axis) is 5. So plug into the equation with y_2 as -3 and x_2 as 5 then y_1 and x_1 both as zero. Thus slope=m= -3/5.
54:19 To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10 The first equation should be multiplied by 3 and the second equation by 7. The first equation should be multiplied by -3 and the second equation by -7. The first equation should be multiplied by - 7 and the second equation by 3 . The first equation should be multiplied by -7 and the second equation by -3.
Answers
Answer:
The first equation should be multiplied by - 7 and the second equation by 3
Step-by-step explanation:
Given
[tex]9x + 3y = -18[/tex] -- (1)
[tex]8x + 7y = 10[/tex] -- (2)
Required
How to eliminate y
In (1), the coefficient of y = 3
In (2), the coefficient of y = 7
Multiply the first equation by -7
[tex]-7(9x + 3y = -18)[/tex]
[tex]-63x -21y = 126[/tex] --- (3)
Multiply the second by 3
[tex]3(8x + 7y = 10)[/tex]
[tex]24x + 21y = 30[/tex] -- (4)
Add the results together:
[tex]-63x -21y = 126[/tex]
[tex]24x + 21y = 30[/tex]
[tex]-------------------------[/tex]
[tex]-63x + 24x -21y +21y = 126+30[/tex]
[tex]-63x + 24x = 126+30[/tex]
See that y is eliminated
Find the percent of change. Round to the nearest tenth, if necessary.
The laptop was marked down from $895 to $720.
Answers
Answer:
-19.6%; percent of decrease
Step-by-step explanation:
720 - 895 = -175
-175 divided by 895 = -0.19553..
-0.1955 multiplied by 100 = -19.55
round to the nearest tenth = -19.6%
Tax" is an added amount when finding the grand total of a bill. True or false
Answers
Answer:
Step-by-step explanation:
True
Answer:
True.
Step-by-step explanation:
Please help... Im desperate... will give brainliest
Answers
hurry up
for 10 points
Answers
Answer:
it's 20m² I think or it's 28m²
When 9 times a number is increased by 30 the answer is the same when 140 is decreased by the number find the number
Answers
Answer:
The unknown number = 11
Step-by-step explanation:
Let
The unknown number = x
9 times a number is increased by 30
= 9x + 30
140 is decreased by the number
= 140 - x
9x + 30 = 140 - x
Collect like terms
9x + x = 140 - 30
10x = 110
x = 110 / 10
x = 11
Check:
9x + 30
9(11) + 30
= 99 + 30
= 129
140 - x
= 140 - 11
= 129
After 2 1/2 days the johnsons had used 2 2/3 tanks of gas how many tanks of gas were they using per day
Answers
Answer:
See explanation
Step-by-step explanation:
According to the question, Johnson used 2 2/3 tanks of gas in 2 1/2 days Thus;
If 8/3 tanks of gas were used in 5/2 days,
Then in 1 day , 5/2 × 3/8 = 15/16 or 0.9 tanks were used per day
A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?
Answers
Answer:
y = -2.5x + 5
Step-by-step explanation:
Here, given the x and y intercept, we want to write the equation of the line
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
Using the given points, we have that;
(2,0) and (0,5)
b is 5
so we have;
y = mx + 5
to get m, set (2,0); x = 2 and y = 0
0 = 2m + 5
2m = -5
m = -5/2 = -2.5
So the equation is;
y = -2.5x + 5
Rewrite in simplest terms: 8r – 4(7r – 5)
Answers
Answer:
-20(r-1)
o
-20r+ 20
Step-by-step explanation:
how to make y=-4+2 on a graph
Answers
Answer:
Step-by-step explanation:
