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).
Learn more about distance of a line here:
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Record the mass of the object based on the reading from the mass of the object is
the triple-beam balance
grams
Answer:
167
Step-by-step explanation:
Answer:
167
Step-by-step explanation:
Dana has 2 more sweets than dhabia, dhabia has double the amount of sweets than ameera. Translate this sum into an algebraic expression.
Ammera's sweet= A
Dhabia's sweet= B
Dana's sweet= C
Ax2=B+2=C
anyone know the answer i worked it out but didn't know where i messed up so i am just gonna ask for someone to help me with it.
plz help 30 points
3(x+2)=18
please solve for x
In 3(x+2)=18, X=4
Divide both sides by the numeric factor on the left side, then solve.
1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percent?
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
The rate of change of the function at x = 0.6 is approximately -0.72
Step-by-step explanation:
The given information from the graph are;
Points (0, 0) and (1, -0.5)
We have that the graph is that of a cubic function, therefore;
f(x) = ax³ + bx² + cx + d
At f'(x) at (0, 0) and (1, -0.5) = 0 gives;
3ax² + 2bx + c = 0
∴ c = 0
Also
ax³ + bx² + cx + d = 0
d = 0
We have
3a(1)² + 2b(1) + 0 = 0
3·a + 2·b = 0..............(1)
a(1)³ + b(1)² + c(1) + d = -0.5
a + b + 0×(1) + 0 = -0.5
a + b = -0.5..........(2)
Multiplying equation (2) by 2 and subtracting it from equation (1) gives;
2 × (a + b = -0.5) = 2·a + 2·b = -1
3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1
a = 1
From
a + b = -0.5, we have;
1 + b = -0.5 = 0
b = -0.5 - 1 = -1.5
The equation becomes
f(x) = x³ - 1.5·x²
The rate of change of the function at x = 0.6 is therefore given as follows;
f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x
At x = 0.6, we have;
f'(0.6) = 3·(0.6)² - 3·(0.6)
f'(0.6) = 3×0.6² - 3×0.6 = -0.72
The rate of change of the function at x = 0.6 ≈ -0.72
Which statement is true regarding the functions on the graph?
A blueberry recipe calls for 1\frac{3}{4} cups of sugar. How many cups of sugar would need to make the muffin recipe 3 times?
Answer:
4 3/4
Step-by-step explanation:
Just multiply 1 3/4 and 3 = 4 3/4
Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
First question
a.)y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
Second question
b).4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]
We have
[tex]y = \frac{4}{5} x - 3[/tex]
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
Can I get help with this
Answer:
Step-by-step explanation:
3(a^2 + a - 6)
3(a + 3)(a - 2)
answer is D
please i need help with these problems thank you!!
The layer of the atmosphere that is least densely packed is
Answer:
mesosphere
The air in the mesosphere has extremely low density: 99.9 percent of the mass of the atmosphere is below the mesosphere. As a result, air pressure is very low.
A pitcher contains 19.25 cups of iced tea. You drink 1.25 cups of the tea each morning and 1.5 cups of the tea each evening. When will you run out of iced tea?
Answer:
Seven days
Step-by-step explanation:
From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:
1.25+1.5=2.75 cups a day
Now that you know the amount of cups that you drink in a day, you can divide the amount of cups in the pitcher by the amount of cups you drink in a day:
19.25/2.75= 7
According to this, the answer is that you will run out of iced tea after seven days.
r-85=114 what is the awnser
Answer:
[tex]r=199[/tex]
Step-by-step explanation:
hopefully that was the answer you were looking for
Answer:
1.34117647059
Step-by-step explanation:
114 divided by 85 =1.34117647059
hope this helps
The property can be used to remove the parentheses in the expression 1.7(x + 9).
Answer: Distributive property
PLEASE HELP ME I WILL MARK YOU BRAINLIEST
Answer:
D
Step-by-step explanation:
Their are 9 in the first row and their are 5 rows all together so 9 times 5 is 45.
Determine if the sequence is arithmetic 28,26,24,22,...
Answer: yes it is
Step-by-step explanation:
Common difference -2
Find the distance between the points (-6,-8) and (-2,0). The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex]4 \sqrt{5} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-6,-8) and (-2,0)
The distance between them is
[tex]d = \sqrt{ ({ - 6 + 2})^{2} + ({ - 8 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 8})^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} [/tex]
We have the final answer as
[tex]4 \sqrt{5} \: \: \: units[/tex]
Hope this helps you
Is 144 a perfect square?
A. The whole number 144 is a perfect square because the square root of 144 is a whole number.
B. The whole number 144 is not a perfect square because the square root of 144 is not an irrational number.
C. The whole number 144 is a perfect square because 144 is divisible by 2.
D. The whole number 144 is a perfect square because 144 is divisible by 4.
Answer:
A,
Step-by-step explanation:
because the whole number 144 is a perfect square and the square root of 144 is also a whole number
Answered
Mr.carlisle paid his utility bill last weekend.he paid $50 to the phone company,$112 to the power company,and $46 to the water company.after he paid those bills,what was the change in the total amount of money that mr carlisle had ?
Answer:-$208
Step-by-step explanation:
(01.01)
Evaluate -40 - 5. (1 point)
8
-8
-35
-45
Answer:
Step-by-step explanation:
-40 - 5 = -45
answer is D
what is the probability that jenny rolls a double 1
Answer:
1/36
Step-by-step explanation:
Assuming that there are 2 dice
There are 36 possible outcomes ( 6*6)
There is only one way to get 2 ones
P ( 1,1) = positive outcomes / total
=1/36
A notebook costs $2.39 at Walmart. If the tax rate is 7%, what is the total cost at the register?
Mr stokes placed 5 marbles in a bag. I’m looking for A,B,C,D,E
Answer:
B,C,D,E,A
Step-by-step explanation:
Btw, Mr. Stokes from RTMS?
Explain.
Numbers may only be used once 1-9
Step-by-step explanation:
Ax − B = C
Dy + E = F
Solve for x and y:
x = (B + C) / A
y = (F − E) / D
So the sum of x and y is:
x + y = (B + C) / A + (F − E) / D
For x + y to be as large as possible, A, E and D must be small, and B, C, and F must be large. With some trial and error:
x + y = (9 + 8) / 1 + (7 − 3) / 2
x + y = 17 + 2
x + y = 19
For x + y to be as small as possible, we want the first term to be a small fraction, and the second term to be as negative as possible. So A must be large, B + C must be small, F must be less than E, and D must be small.
x + y = (3 + 4) / 8 + (2 − 9) / 1
x + y = ⅞ − 7
x + y = -6⅛
You are paid $128 for mowing four lawns on Saturday. What is the Unit Rate of your pay? How much money would you have after mowing 7 lawns? Question 13 options: $32 & $224 $34 & $224 $32 & $238 $34 & $238
Answer:
32 & 224
Step-by-step explanation:
Angle A is 80, Angle C is 40 Figure out what measure the angle of B
Answer:
60
Step-by-step explanation:
The angle measures in a triangle always add up 180 degrees. 180-80-40=60
Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowest point at 15 meters below sea level. What is the difference in elevation between Mount Kosciuszko and Lake Eyre? You must show your work on your sheet on notebook paper.
A)2,243
B)2,213
C)2,250
D) 2,210
Answer:
Option (A)
Step-by-step explanation:
Heights above the sea level are denoted with positive notations and depths below the sea level with negative.
Height of the highest peak of the mountain = +2228 meters
Lowest point of the lake = -15 meters
Difference between these elevations = 2228 - (-15)
= 2243 meters
Therefore, Option (A) will be the correct option.
need help someone please
Answer:
52
Step-by-step explanation:
I'm pretty sure that it would be 52 mi because it is the same said that the angel ST is. Angels NM and ST are congruent. Therefore, the answer is 52 mi.
A lottery claims that 3% of tickets win a prize. what is the probability that you win a prize if you purchase twenty tickets?