Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²
Answers
Answer:
b
Step-by-step explanation:
The perimeter of the polygon is 4√(a² + b²).
Option D is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The polygon is formed by joining the four-point:
(0, b), (-a, 0), (a, 0), and (0, -b)
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Now,
Using this formula, we can find the lengths of the sides of the polygon:
The distance between (0, b) and (-a, 0) is d1.
= √[(0 - (-a))² + (b - 0)²]
= √(a² + b²)
The distance between (-a, 0) and (0, -b) is d2.
= √[(0 - (-a))² + (-b - 0)²]
= √(a² + b²)
The distance between (0, -b) and (a, 0) is d3.
= √[(0 - a)^2 + (0 + b)^2]
= √(a² + b²)
The distance between (a, 0) and (0, b) is d4.
= √[(0 - a)²+ (b - 0)^2]
= √(a² + b²)
The perimeter of the polygon is:
P = d1 + d2 + d3 + d4
= 4√(a² + b²)
Thus,
The perimeter of the polygon is 4√(a² + b²).
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Related Questions
if the spinner lands on green 10 times out of 60 spins,which statement true
Answers
Answer:
The spinner lands on green 5 times less than expectedStep-by-step explanation:
Since not provided, it is assumed that the spinner has 4 colors.
Probability of green is one out of four = 1/4
Probability of green out of 60 spins:
1/4*60 = 15 timesAs spinner lands on green 10 times, then it is 5 times less than expected.
Answer:
The spinner lands on green 5 times less than expectedCompare an angle having a measure of 120° With that of an angle whose measure is five pi over 6 rad explain your reasoning
Answers
Answer:
Step-by-step explanation:
et A=120°
and B=5Pi /6
Pi radians ---------> 180°
x<----------------------- 120°
so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3
so A = 2Pi / 3 radian
let 's compare A and B
we know that 5Pi /6 = 0.8 Pi and 2P/3= 0.6 Pi, 0.8>0.6,
finally 5Pi /6 > 2P/3
so B>A
The steps below show the solution to the equation 3 (2-2) = 2(x - 3).
Order the reasons for the steps. 3(2-2) = 2(2-3) 3(2) + 3(-2) = 2 (x) +2 (-3) (Select) 32 - 6 = 22 - 6 [Select] 3x - 2 = -6+6 Select) x=0 Select
Answers
This seller must sell at least 120 newspapers each month. He sold 85 newspapers in the first three weeks of the month. How many more newspapers must he sell by the end of the month? Make an inequality to show this scenario as a math problem, be sure to use the correct symbols, and share your answer!
Answers
Answer:35
120-85=35
120>85
-0.3535 is it rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
A rational number is a number expressed as a fraction. So the number could be a decimal or percent.
Hope This Helps :)
The given decimal number is rational number.
What is the rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
The given decimal number is -0.3535.
Here, the given decimal number is repeated and terminating decimal
So, the given decimal is rational number
Therefore, the given decimal number is rational number.
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The angle between the minute hand and hour hand of a clock is 90°. What time is it?
Answers
Answer:
3:00.
Step-by-step explanation:
if it exactly 90 degrees you are looking for, your answer would be 3:0:0.
Answer the question please
Answers
Major went to the Appalachian Fair. The entrance fee was $10, and he purchased 25 tickets. Write an equation to find the price of each ticket if he spent a total of $47.50. You do NOT have to solve it.
Answers
Answer:
25x+10=47.50
Step-by-step explanation:
x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.
Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)
Answers
Answer:
Step-by-step explanation:
I think we need to define domain and range first.
Domain is the set of all x values where the function f(x) exists or is defined.
Range is the set of all y values that will result from substituting all x values (the domain) into the function.
So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.
So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.
The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.
The domain as an inequality would be -∞ < x < ∞
The range as an inequality would be -∞ < y < ∞
As a set notation:
Domain {x | -∞ < x < ∞}
Range {y | -∞ < x < ∞}
In interval notation:
Domain (-∞ , ∞)
Range (-∞ , ∞)
End behavior:
As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.
-
=\80
2.4
()
14 15
0
L: 2
4
А) . 1
( - ) 90
| —
Answers
Answer:
....
Step-by-step explanation:
A football team gains 5 yards, then loses 2 yards then gains another 6 yards, then loses 3 yards what is their net gain or loss?
Answers
Answer:
6 yards net gain
Step-by-step explanation:
Larry has a gift card worth $400 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order
to use the gift card, Larry must purchase at least nine items. Which is a combination of movies and newly released video games that Larry could
purchase using his gift card?
10 movies and 5 video games
6 movies and 2 video games
4 movie and 8 video games
7 movies and 5 video games
Answers
Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive
Answers
T=D/S
_=86.4/54
1.6=86.4/54
(Hopes this helps)
OMG PLEASE HELPPPPP I NEED THIS TO BE TURNED IN , IN LIKE 10M
Answers
Answer:
use 5x for each question
Step-by-step explanation:
its says u should get 5x out of them
1.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=16
Step-by-step explanation:
its C
Answer:
x=16
Step-by-step explanation:
First of all we want to distribute 0.5 on 5x and -8
so we are going to divide by 2
1.5x + 12 = 2.5x -4
now we want to put the variables on one side and the numbers on the other side of the equal sign
and to
1.5x +12 = 2.5x -4
-12 -12
1.5x = 2.5x - 16
now we want to move the variable that is on the right to the left side
1.5x = 2.5x - 16
-2.5x -2.5x
-x = -16
change the signs and the answer is
x=16
EXTRA STEP
you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal
1)n/5=-10 How do we answer this question
Answers
Answer: Your answer will be [tex]\frac{-50}{5} =-10[/tex]
Step-by-step explanation: You will have
[tex](5)\frac{n}{5} =-10(5)[/tex] you will have to multiply 5 on both sides. So you will then simplify 5 and 5 to be left with n and multiply -10(5)=-50
So you get [tex]n=-50[/tex]
I need help knowing which graphs represent that y is a function of x
Answers
Answer:
B, C, F
Step-by-step explanation:
The choices B, C, and F are right because if you do the Vertical line test, the vertical line only intersects one point in the graph. The function only has one output value for each input value.
Tony is 1/2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?
Answers
Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.
However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.
I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.
Another way to write that is 1/2 = x/.5
If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.
Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.
Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony
Step-by-step explanation:
3 is subtracted from the cube of a number.
Answers
The equation [tex]x^{3} - 3[/tex] has x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].
We are given,
3 is subtracted from the cube of a number.
Let the number be x then we can write it as:
[tex]x^{3}[/tex] - 3
We are to solve for x.
We can write the equation as:
[tex]x^{3}[/tex] - 3 = 0
x ( [tex]x^{2}[/tex]- 3 ) = 0
x = 0 and ( [tex]x^{2}[/tex] - 3 ) = 0
x = 0 and [tex]x^{2}[/tex] = 3
x = 0 and x = ±[tex]\sqrt{3}[/tex]
So we have,
x = 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex]
Thus we have x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].
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Complete the following statement.
16/
= -8
Answers
16 / x = -8
First, let's divide both sides by x.
16 = -8x
Divide both sides by -8
-2 = x
16 / -2 = -8
Answer:
m = -2
Step-by-step explanation:
16 / m = -8
→ 16 = -8m
→ m = 16/-8
→ m = -2
Josh determined the solution set to the following inequality. His work is shown below.
|36 – 4p| > 16
1. (36 – 4p) > 16, –(36 – 4p) > 16
2. –4p > –20
p > 5
3. –36 + 4p > 16
4p > 52
p > 13
4. p > 5 or p > 13
Analyze Josh’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No. In step 1 his second inequality is not correct.
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.
Answers
Answer:
c
Step-by-step explanation:
. Reason Rachel spent $36.32 in the grocery store. She paid the exact amount and used exactly 4 bills and 4 coins. What bills and coins did Rachel use?
Answers
Answer:
She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies
Step-by-step explanation:
13 14 14 16 16 16 16 18 18 19
What is the mean?
Answers
(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 19)/10 = 16
AC CE and D is the midpoint of CE. IF CE 10x + 18, DE =7x -1, and BC = 9x - 2, find AB, AB =
Answers
Answer:
If you mean: AC=CE, the answer is: AB = 24Step-by-step explanation:
D is the midpoint of CE, then
CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9
So: 5x + 9 = 7x - 1
-9 -9
5x = 7x - 8
-7x -7x
-2x = -8
÷(-2) ÷(-2)
x = 4
AC = CE = 10x + 18 = 40 + 18 = 58
BC = 9x - 2 = 36 - 2= 34
AB = AC - BC = 58 - 34 = 24
D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.
Since DE = 7x-1, which also means CD = 7x-1.
CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.
Therefore, x = 5 and CE = 68.
Since AC is congruent to CE, AC = 68.
Assuming the point B is somewhere between AC.
Since BC = 9x-2 and x = 5, which means BC = 43.
AC - BC = AB, so 68 - 43 = 25.
Therefore, AB = 25
Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short.
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
13-10=3
Natalie had a job after school. She worked 25 hours a week and got paid $6.25 an hour. How much money would she earn for two weeks of work?
Answers
Answer:
312.5
Step-by-step explanation:
25 x 2, for two weeks of work = 50
50 x 6.25 = 312.5
Answer:
She got paid $312.50 every two weeks,
Step-by-step explanation:
6.25 times 25 is 156.25. Multiple that by 2 and you get 312.50z
QR has endpoints at Q(2,6) and R(0,2). Find the midpoint M of QR
Answers
Answer:
Step-by-step explanation:
Well, the midpoint formula is M=((x↓1 +x↓2)/2,(y↓1 +y↓2)/2 ). (not exponents, they tell you which x or y value).
If you plug in your 2 points, it becomes m=((2+0)/2,(6+2)/2).
When you add, it is m=(2/2, 8/2)
When simplified, it is m=(1,4)
Is 99 squared over 3 rational or irrational
Answers
Please answer all questions step by step PLEASE HELPP!!!! I'LL MARK YOU AS BRAINLIEST
Answers
I think your teacher's just asking for the multiplied out version, so there's no work to do
3. -2(3m + 9) = -6m - 11
4. -6(z-1) = -6z + 6
5. -(m +1) = -m - 1
6. -(x+4) = x = 4
7. b(a- 6) = ab - 6b
8. 7a(3b -2c + 4) = 21ab - 14ac +28a
9. 1/2(8x + 2) = 4x + 1
10. 2/3(1/4x -6) = 1/6x - 4
Answer:
3. -2(3m + 9) = -6m - 11
4. -6(z-1) = -6z + 6
5. -(m +1) = -m - 1
6. -(x+4) = x = 4
7. b(a- 6) = ab - 6b
8. 7a(3b -2c + 4) = 21ab - 14ac +28a
9. 1/2(8x + 2) = 4x + 1
10. 2/3(1/4x -6) = 1/6x - 4
Step-by-step explanation:
How many solutions does this equation have?
-4 + 6n
7n
no solution
one solution
infinitely many solutions
Answers
Answer:
One solution
Step-by-step explanation:
-4 + 6n = 7n
you will subtract (6n-6n) which will cancel each other out, than subtract (7n - 6n) which will be (1n)
So now you will have -4 = 1n
Now you will divide ( -4/1) which is -4
You don't have to divide -4 with 1, because its the same way as multiplying it.
Now you will have -4 = n