hii can someone help me with this question please
Move AC and BD so that their midpoints coincide. Then draw a polygon through A, B, C, and D to form quadrilateral ABCD. Measure and record the slope of each slide of quadrilateral ABCD
Answers
Answer:
look attachment below
Step-by-step explanation:
We find the midpoints of AC and BD and the corresponding coordinates for quadrilateral ABCD.
Midpoint of AC: ( (x₁ + x₃) / 2 , (y₁ + y₃) / 2 )
Midpoint of BD: ( (x₂ + x₄) / 2 , (y₂ + y₄) / 2 )
Then we can measure and record the slopes of each side.
Slope = (y₂ - y₁) / (x₂ - x₁)
Here,
To draw quadrilateral ABCD with the midpoints of AC and BD coinciding, we first need to find the midpoints of AC and BD.
The midpoint of a line segment is the average of the coordinates of its endpoints.
Given points A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄), we can find the midpoints as follows:
Midpoint of AC: ( (x₁ + x₃) / 2 , (y₁ + y₃) / 2 )
Midpoint of BD: ( (x₂ + x₄) / 2 , (y₂ + y₄) / 2 )
Once we have the coordinates of the midpoints, we can connect them to form quadrilateral ABCD.
To measure the slope of each side of quadrilateral ABCD, we need to find the slope of each line segment formed by connecting points A, B, B, C, C, D, and D, A.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
Slope = (y₂ - y₁) / (x₂ - x₁)
Let's assume we find the midpoints of AC and BD and the corresponding coordinates for quadrilateral ABCD. Then we can measure and record the slopes of each side.
To learn more on slope click:
brainly.com/question/3605446
#SPJ4
Related Questions
A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning
Answers
9514 1404 393
Answer:
A) the curves are ellipses
B) 161 yards
C) 366 yards
Step-by-step explanation:
A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.
__
B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*
So, the approximate length of side c is ...
c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c
__
C) The perimeter of the pond is the sum of the side lengths, so will be ...
80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter
_____
* Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...
C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))
where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.
For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find ...
C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide
This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.
The attachment shows the shape if the curve is actually an ellipse.
What is the lowest term of 110/33
Answers
Answer:
10/3
Step-by-step explanation:
110/33
lowest term of 110/33 is 10/3
110/11=10
33/11=3
10/3 is your answer
ROADS The city added an extra lane in each direction to the 5 lane road?
FIND THE PERCENT OF CHANGE. ROUND TO THE NEAREST WHOLE PERCENT IF NECESSARY. STATE WEATHER THE PERCENT CHANGE IS increase or decrease.
Answers
Answer:
20 percent is added
Step-by-step explanation:
An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $
Answers
Answer:
The investment will generate a NPV of $2,731.
Step-by-step explanation:
Cost of an investment (PV) = $5,000
Annual cash flows = $3,000
Period of investment = 3 years
Interest rate of return = 8%
Annuity Factor = 2.577 (for 3 years at 8% per year)
Present value of the annuity = $3,000 * 2.577 = $7,731
NPV = Annuity PV minus PV of investment cost
= $7,731 - $5,000
= $2,731
b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000. The resulting NPV is positive and the investment should be accepted.
The diameter of the circle is 40ft what is the circle radius
Answers
Answer:
20 ft.
Step-by-step explanation:
Elaine had 5/8 of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get of they split it evenly.
1/8
1/5
3/8
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
3. Let sin 21 = 0.358. What is the value of x for cos x=0.358?
Answers
Answer:
[tex]\cos(69)[/tex]
Step-by-step explanation:
We will use the co-function identity for sine, where:
[tex]\sin(x)=\cos(90-x)[/tex]
Since sin(21)=0.358=cos(x). This means that:
[tex]21=90-x[/tex]
Solve for x. Add x to both sides:
[tex]x+21=90[/tex]
Subtract 21 from both sides:
[tex]x=69\textdegree[/tex]
Hence:
[tex]\sin(21)=\cos(69)\approx0.358[/tex]
The mean of a distribution is 276, while the median is 276. Which of these
statements is likely to be true about the distribution?
A. It is negatively skewed.
B. It is positively skewed.
C. It is not symmetric.
D. It is not skewed.
Answers
Answer:
It is not skewed.
Step-by-step explanation:
When the mean of a distribution is equal to that of its median, the distribution is not skewed.
Here, mean and median of a distribution is 276. It means, both mean and median are same. It would mean that the distribution is not skewed.
Out of the given options, the correct option is (d) "It is not skewed".
HELP ME I’ll SEND YOU MONEY!
The product of two consecutive even integers is 8. Find the integers.
Note: each set of brackets represents one solution
Answers
Answer:
2 and 4
Step-by-step explanation:
you can just try and u'll get 2 and 4
Answer:
-4 and -2 or 2 and 4Step-by-step explanation:
Let the integers be x and x+2
Then we have:
x(x+2) = 8x^2 + 2x = 8x^2 + 2x + 1 = 9(x + 1)^2 = 3^2x + 1 = ± 3x = -1 ± 3x = -4 and x = 2The numbers are:
-4 and -2 or 2 and 4Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(x)=
Answers
Answer:
p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Step-by-step explanation:
(x+3) is the factor of polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex]
So, we can divide [tex]p(x) = x^3 + 7x^2 - 36[/tex] by (x+3) to find other factors
The division is shown in figure attached.
The quotient is: x^2+4x-12
Now factoring the quotient to find linear factors
[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]
The factors are [tex](x+3)(x-2)(x+6)[/tex]
So, p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
What is the inverse function of f? F(x)=10/9x+11
Answers
Brody is hosting a watch party for a basketball game. He wants to order 5 large pizzas, 3 orders of breadsticks, and 6 liters of Dr. Pepper. If 1 large pizza cost $11.26, 1 order of breadsticks cost $7.85, and 1 liter of Dr. Pepper cost $1.79, how much would his total be? PLS ANSWER FAST
Answers
Breadsticks:$23.55
Dr pepper:$10.74
Hope I helped! :)
ITS DUE AT 12 PLZ HELP ME I DONT GET IT
Answers
Answer:
a) 1/2, 1/2, 1/2
b) T
R
S
c) DEF and TRS are similar
Step-by-step explanation:
a) TR/DE = 9/18 = 1/2
RS/EF = 8/16 = 1/2
TS/DF = 5/10 = 1/2
b) E is the smallest angle on the DEF, and it corresponds w the smallest angle on TRS, R. D corresponds to T, and F to S
they r similar figures - u can see it if u tilt TRS counterclockwise nd flip it
c) they r similar bcuz u can see in part a) that they all have proportional side lengths so yea theyre similar
Camila just got a brand new pet lizard, and she collects data 3 times a day for 10 days to see if her lizard is awake or asleep.
The table below shows her data. "A" represents an awake lizard, and "S" represents a sleeping lizard.
Answers
Answer:
0.3
0.4
0.2
0.1
Step-by-step explanation:
look at the pic
how many decimeters are in 5 kilometers. please show your work by using the power of 10 to show the work its due in 12 minutes PLZ HELP
Answers
Answer:
There are 50,000 decimeters in 5 kilometers
Step-by-step explanation:
as for showing my work not really sure what you want me to do it's pretty straightforward, butttttttt what i did was multiply the length value by 10,000, so [tex]10,000=10^4[/tex]
I'm not sure if that's what you're looking for but I hope this helps :)
6 2/9 divided by 4 times 1 1/6
Answers
Answer:
49/27 i think
Step-by-step explanation:
A bakery sells 2 croissants for $3 they sold 31 croissants on Monday, how much money did they make
Answers
Multiply $1.50 by 31 and we get $46.50
Therefore 31 croissants is $46.50
Answers to the question
Answers
Answer:
2=53 employees(m)
4=91 employees(m)
6=129 employees(m)
8=167 employees(m)
Step-by-step explanation:
19x2=38+15= 53
19x4=76+15= 91
19x6=114+15=129
19x8=152+15=167
Please hel me with this
Answers
Answer: I disagree with the person that answers before. The answer is D, parliamentary democracy.
Here's why: The definition of parliamentary democracy is a democratic form of government in which the party with the greatest representation in the parliament (legislature) forms the government, its leader becoming prime minister. The United Kingdom is a unitary state with devolution that is governed within the framework of a parliamentary democracy under a constitutional monarchy in which the monarch, currently Queen Elizabeth II, is the head of state while the Prime Minister of the United Kingdom, is currently Boris Johnson
When multiplying 1,729 times 308, Clayton got a product of 52,253. Does his answer seem reasonable
Answers
Answer:
No, it does not
Step-by-step explanation:
Well first we round off the factors 1790 and 308 to 2000 and 300These are numbers which we are kind of close to our original numbers, but easier to multiply without a calculator or anything of the kindThen we easily multiply and estimate if the answer is rightSo [tex]2000*300=600,000[/tex] Now how close is 600,000 to 52,253? They are way too far apart!So that means the product is not reasonable, it's not even close to our estimation.Find the product of (x + 3)^2
Answers
Answer:
(x+3)² = (x+3)(x+3)
When we distribute polynomials, we have to make sure each term mutliplies to all of the terms in the other polynomial.
x(x+3) + 3(x+3)
x² + 3x + 3x + 9
x² + 6x + 9
Methods such as FOIL (first, outside, inside, last) and creating a table can help you with this.
Step-by-step explanation:
Answer:
x^(2)+6x+9 also x=-3
Step-by-step explanation:
What is -8(2-3w)-5
Please explain!
Answers
Answer:
24w - 21
Step-by-step explanation:
-8(2 - 3w) - 5
We first expand the -8
-16 + 24w - 5
We then add -16 to -5
-16 + -5
= -21
We get the 24w, put in in the equation and get 24w - 21
Answer:
24w−21
Step-by-step explanation:
Factoring 24w2+10w-21
The first term is, 24w2 its coefficient is 24 .
The middle term is, +10w its coefficient is 10 .
The last term, "the constant", is -21
Step-1 : Multiply the coefficient of the first term by the constant 24 • -21 = -504
Step-2 : Find two factors of -504 whose sum equals the coefficient of the middle term, which is 10 .
-504 + 1 = -503
-252 + 2 = -250
-168 + 3 = -165
-126 + 4 = -122
-84 + 6 = -78
-72 + 7 = -65
-63 + 8 = -55
-56 + 9 = -47
-42 + 12 = -30
-36 + 14 = -22
-28 + 18 = -10
-24 + 21 = -3
-21 + 24 = 3
-18 + 28 = 10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 28
24w2 - 18w + 28w - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
6w • (4w-3)
Add up the last 2 terms, pulling out common factors :
7 • (4w-3)
Step-5 : Add up the four terms of step 4 :
(6w+7) • (4w-3)
Which is the desired factorization
not sure need help
Answers
Answer:
the circumference is 31.4159 (or 31.42)
What kind of segment is AQ?
Answers
Answer:
A. Altitude
Step-by-step explanation:
An altitude is a perpendicular line in a triangle that goes from a vertex to the base of the triangle.
In a regular polygon the interior angle is thrice the exterior angle. The number of sides of the polygon is.
Answers
Answer:
8
Step-by-step explanation:
Measure of one interior angle of a regular polygon of n sides:
(n - 2)180/n
Measure of one exterior angle of a regular polygon if n sides:
360/n
"the interior angle is thrice the exterior angle"
(n - 2)180/n = 3 * 360/n
(n - 2)180 = 3 * 360
n - 2 = 3 * 2
n = 8
The number of sides is 8.
A family spends $450 every month on food. If the family’s income is $1,800 each month, what percent of the income is spent on food?
Answers
0.25 times 100 = 25%
Brainlest! Which statement correctly compares the function shown on this graph with
the function y= 2x - 5?
Answers
Answer:
B.
Step-by-step explanation:
The graphed line has a slope of 3 which is higher than the functions slope of 2. It also has a y-intercept of 4 while the functions y-intercept is -5, therefore it is higher.
Answer:
There you go cupcake!
Given two sides of a triangle, find a range of possible side lengths for the third side.
9 and 32
Answers
Answer: Two sides of a triangle have lengths 2 and 7. Find all possible lengths of the third side. Show Answer. difference $$< x <$$ sum $$7 -2 < x < 7+2$$ Answer: $$5 < x < 9$$ Problem 7. Two sides of a triangle have lengths 12 and 5. Find all possible lengths of the third side
Step-by-step explanation: i hope i helped
please help me asap
Answers
Answer:
1/8
Step-by-step explanation:
3/4= 6/8
so 7/8 - 6/8 = 1/8
Answer:
B.
Step-by-step explanation:
3/4*2=6/8
6/8+1/8=7/8
hope this helps :3
if it did pls mark brainliest
f(x)=-1/3(5-x),what is f(-16)