1. answer the three questions below about the quadrilateral:
a. How could we find the perimeter below about the quadrilateral?
b. How might we calculate the area of this figure?
c. It looks like it might be a rectangle. What can we do to help us decide if it's a rectangle or a parallelogram?
Answers
Before we begin, note that we need to use the distanse formula for everything to reach our conclusion. With that being said, here we go:
[tex]\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d[/tex]
Using the ordered pairs [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:
[tex]\displaystyle \sqrt{[-3 + 4]^2 + [3 - 2]^2} = \sqrt{1^2 + 1^2} = \sqrt{2}[/tex]
Now, sinse the distanse between [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] is [tex]\displaystyle \sqrt{2}[/tex] units, then the distanse between [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [0, 0][/tex] ALSO has to be [tex]\displaystyle \sqrt{2}[/tex] units. By definition, lettre c has already been answered for you because sinse it is a rectangle, if the two short sides are congruent, then the two long sides ALSO have to be congruent, but just in case you want to be sure [you do not trust your instincts], just simply re-use the distanse formula.
Using the ordered pairs [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:
[tex]\displaystyle \sqrt{[-1 + 4]^2 + [-1 - 2]^2} = \sqrt{3^2 + [-3]^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}[/tex]
So there you have it. The length of both of the long sides is [tex]\displaystyle 3\sqrt{2}[/tex] units.
Now that we cleared all of that up, we can now find the perimetre and area of this rectangle:
[tex]\displaystyle 2w + 2l = P[/tex]
[tex]\displaystyle 2[\sqrt{2}] + 2[3\sqrt{2}] = 2\sqrt{2} + 6\sqrt{2} = 8\sqrt{2}[/tex]
The perimetre of this rectangle is [tex]\displaystyle 8\sqrt{2}[/tex] units.
[tex]\displaystyle wl = A[/tex]
[tex]\displaystyle [\sqrt{2}][3\sqrt{2}] = [3][2] = 6[/tex]
The area of this rectangle is [tex]\displaystyle 6[/tex] squared units.
You have now found what you were looking for.
** All rectangles are parallelograms because they both have two pairs of parallel and congruent sides, while vice versa is falce because a parallelogram does not have four congruent right angles, so it is safe to say that this is both a rectangle AND parallelogram, sinse the picture displayed is a rectangle.
I am joyous to assist you at any time. ☺️
9514 1404 393
Answer:
a) compute and add up the side lengths
b) multiply length by width
c) compare the slopes of adjacent sides
Step-by-step explanation:
a) The perimeter of any figure is the sum of the lengths of its sides. It can be computed for a rectangle or parallelogram by adding the lengths of adjacent sides and multiplying the sum by 2.
In this graph, each grid square is 1/2 unit. The width of the rectangle is the diagonal of a square that is 1 unit on a side, so is √2 units. The length is 3 times that, so the perimeter is ...
P = 2(L+W)
P = 2(3√2 +√2) = 8√2 . . . . perimeter of the rectangle in units
__
b) The area is the product of the length and width.
A = LW
A = (3√2)(√2) = 6 . . . . area of the rectangle in square units
__
c) Each side lies on the diagonal of a unit square. The diagonals of a square are perpendicular, so the sides of this parallelogram are perpendicular. That means the figure is a rectangle.
The basic idea is to look at adjacent sides to see if they are perpendicular. Here, we have determined that using the properties of a square. One could compute "rise"/"run" for each side to see of the values are opposite reciprocals.
origin to B: rise/run = 1/1 = 1
B to C: rise/run = -3/3 = -1
Each of these values is the opposite reciprocal of the other: 1 = -1/-1.
_____
Additional comment
This question seems to be about methods, not about numbers. We have given numbers anyway.
Related Questions
I know it’s a lot but 23 points and will make brainliest!!!
Please do 5-10
Answers
Answer:
5, 20 - 52 = x
6, x - 27 = 5
7, 4 + x = 6
8, 14 - x = 29
9, x - 54 = 12
10, x + 25 = 40
Step-by-step explanation:
hope this is what u wanted.
brainiest please
Tomas found a bag of 100 AA batteries in a box in his garage. He placed one battery at a time into a flashlight that required one AA battery. After trying 20 batteries, Tomas found that only 3 of the batteries were good. Based on Tomas' attempts so far, how many of the batteries in the bag could he expect to be good?
Answers
Answer:15
Step-by-step explanation: so for every 20 batteries there are 3. 5 times 20 equals 100 so 5x3 equals 15 so that’s your answer hope it helps doesn’t sound uncomplicated but it’s right :D
3. Make F the subject of the formula
H-2FL
W
3F
Answers
Answer:
Step-by-step explanation:
Ur still up
If g(x) = 6x - 36, which statement is true?
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
Answers
Answer:
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
(A) I think
Step-by-step explanation:
what was the original price of a jacket that sells for $45 after a 10% discount.
Answers
Answer:
$450
Step-by-step explanation:
So let's make this into an equation:
10% × x = $45
10% is equal to 10/100, so it will be:
10/100x = 45
So:
45÷10/100=45/0.1=450
The original price was $450
Hope this helps :))
What is the equation of a line parallel to the y axis?
Answers
Answer:
If any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a.
Step-by-step explanation:
Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.
Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?
-3mn - 4n^4+ 2mn - 6n-5mn^3- 6m^3n
Answers
Answer:
Step-by-step explanation:
-3mn - 4n^4+ 2mn - 6n-5mn^3- 6m^3n=
he needs to combine -3mn and 2mn,
not sure if the last term is correct
The bolded terms in the polynomial are to be combined. The resultant polynomial is -
- 4n⁴ - 5mn³ - 6m³n - mn - 6n
What is a polynomial? What is a mathematical equation and expression?In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate [x] is x² − 10x + 6.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the following polynomial -
- 3mn - 4n⁴ + 2mn - 6n - 5mn³ - 6m³n
We have -
- 3mn - 4n⁴ + 2mn - 6n - 5mn³ - 6m³n
- 4n⁴ - 5mn³ - 6m³n - 3mn + 2mn - 6n
- 4n⁴ - 5mn³ - 6m³n - mn - 6n
Therefore, the bolded terms in the polynomial are to be combined. The resultant polynomial is -
- 4n⁴ - 5mn³ - 6m³n - mn - 6n
To solve more questions on polynomial, visit the link below -
https://brainly.com/question/17421223
#SPJ2
- 3/8 + 3/4 + -1/4 = ?
Evaluate the expression as a fraction.
Answers
Rewrite all the fractions to have the same denominator:
3/4 = 6/8
-1/4 = -2/8
Now you have -3/8 + 6/8 + -2/8
-3/8 + 6/8 = 3/8
3/8 + -2/8 = 3/8 - 2/8 = 1/8
The answer is 1/8
Hope this helps!!
What is the ratio for Cosine?
Answers
Answer:
In a right triangle, the cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. Figure 20.7 A right triangle with tangent ratio 9/14. sin ∠A = 9√277/277 and cos ∠A = 14√277/277.
[tex] \frac{5}{10} = \frac{10}{5 + x} [/tex]
how would you solve this?
Answers
Hello!
[tex]\large\boxed{x = 15}[/tex]
[tex]\frac{5}{10}= \frac{10}{5+x}[/tex]
Solve for x by cross multiplying:
[tex]5*(5 + x) = 10 * 10[/tex]
Distribute:
[tex]25 + 5x = 100[/tex]
Subtract 25 from both sides:
[tex]5x = 75[/tex]
Divide both sides by 5 to entirely isolate for x:
[tex]5x/5 = 75/5\\\\x = 15[/tex]
5 · (4 · x) = ? help
Answers
i giveeee brainlilisttttttt
Answers
Answer:
2222ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss22222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss222222222222222222222222222222222
If r= 1 and 0 = 5 pie/4, what is the approximate arc length?
A. 1.25 units
B. 4.189 units
C. 3.927 units
D. 3.665 units
Answers
9514 1404 393
Answer:
C. 3.927 units
Step-by-step explanation:
The arc length (s) is given by ...
s = r·θ
s = 1·5π/4 ≈ 3.92699
s ≈ 3.927 . . . units
The length of the given arc is 3.927 units, so the correct option is C.
How to get the arc length?
For an arc in a circle of radius R, defined by an angle θ, the length is:
L = θ*R
In this case, we have:
R = 1 unit.
θ= (5/4)pi
Where pi = 3.14159
Replacing that in the length equation we get:
L = (5/4)*3.14159*(1 unit) = 3.927 units.
So the correct option is C.
If you want to learn more about arcs:
https://brainly.com/question/2005046
#SPJ2
Please help its due today.
Show that the conjecture is false by finding a counter example.
If the quotient of two numbers is positive then the two numbers must be
positive.
Answers
Answer:
Counter example: (-2) x (-3) = 6
Step-by-step explanation:
The sum of any two prime numbers is always even. -2 and -3 are each negative numbers, yet their product is 6, a positive number.
WORTH 20 POINTS PLS HELP!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part D: The balloon will reach its maximum height after how many hours?
h(x)=-16x2+64x+80
Answers
Answer:80ft
Step-by-step explanation:
need help with this if you can explain please do if not then just and answer is okay
Answers
Step-by-step explanation:
f(x) = x / (x - 7) = 1 + 7 / (x - 7).
The domain of f(x) depends whether the denominator of the rational expression is non-zero.
When (x - 7) = 0, x = 7.
Hence domain of f(x)
= All real values of x excluding 7. (C)
Answer:
C. All real values of sucth that x ≠ 7
Step-by-step explanation:
This is the answer because:
1) Set up the composite function and evaluate, then find the domain of the result.
Therefore, the answer is C.
Hope this helps! :D
62 + j = 74; j = 12
Is this true or not
Answers
Answer:
yes
Step-by-step explanation:
If you take 74 the subtract 62 you get 12
there for 12+62=74
Express 38% as a decimal number.
Answers
Answer:
Step-by-step explanation:
38/100=0.38
Kalin walks at a steady rate of 1.1 miles per hour. The beach is 4 miles from his
home.
How long will it take Kalin to walk from his home to the beach and back to his home?
Answers
Answer:
It would take him 4 hrs
Step-by-step explanation:
and 40 or 4 mins
Twice of
x is 10 more than y
Answers
Answer:
Twice of x is 10 more than y[tex] \huge \boxed{2x = y + 10}[/tex]
Erik works 55 hours a week making $12.50 hour? His employer pays time and a half for hours over 40. Find his gross pay.
Answers
Answer:
781.25
Step-by-step explanation:
Regular pay = 40*12.50 = 500.00
Overtime = 15*12.5*1.5 = 281.25
Gross pay = 500.00 + 281.25 = 781.25
Which ratio is the odd one out 4:20. 3:15 8:39 1:5 10:50
Answers
Answer:
8:39
Step-by-step explanation:
because when simplified, all the rest are 1:5
ABCDE~GHJDF Complete statement
Answers
Answer:
FE
Step-by-step explanation:
i hope you help this answer
For the two similar figures, the expression can be written as:
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
What is the similarity?In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.
For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.
The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:
ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
To know more about similarity follow
https://brainly.com/question/30068992
#SPJ7
Brainlest and points need help !!
Answers
Answer:
it is C.
Step-by-step explanation:
8 people take up one table and 104/13=8
Answer:
[tex]\huge\boxed{\sf Option \ 3}[/tex]
Step-by-step explanation:
p = 8t
Where p is the no. of people and t is the no. of tables.
[tex]\rule[225]{225}{2}[/tex]
So, If t = 22, then:
p = 8 (22)
p = 176 (Makes the first option incorrect)
[tex]\rule[225]{225}{2}[/tex]
If t = 8 , then:
p = 8 (8)
p = 64 (Makes the second option incorrect)
[tex]\rule[225]{225}{2}[/tex]
If t = 13, then:
p = 8 (13)
p = 104 (This makes the third option correct)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Yall im doing the diagnostic... help
solve. -11 2/3 x (-4 1/5)
Answers
hope this helped.
The three inside angles (A, B and C) of a right angled triangle are in the ratio 7:18:11
The smallest angle is 35°
Work out out angles a,b and ,
Answers
Answer:
Angle A =35 degrees, Angle B = 90 degrees, and Angle C = 55 degrees
Step-by-step explanation:
So all the angles added up would be 180. Let's use the variable x. The angles would be 7x, 18x, and 11x.
The smallest angle is 35, and 7x is the smallest out of all them since x has to be positive.
7x = 35
x = 5
Then substitute x into each angle.
They would be 35 degrees, 90 degrees, and 55 degrees
Equations & Graphs
Match each graph with the correct equation from the equation bank. (Not all equations will be used) (plz help)
Answers
Answer:
Answer to5)y=3
Answer to q9)x=3
5. y = 3.
6. y = (2/3)x.
7. y = x - 1.
8. y = x + 3.
9. x = 3.
10. y = - 3x.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
5. The graph of this function is constant for all values of x, y = 3.
6. The graph of this function has points (0, 3) and (3, 2).
m = (2 - 0)/(3 - 0).
m = 2/3.
2 = (2/3)×3 + b.
2 = 2 + b.
b = 0.
y = (2/3)x.
7. The graph of this function has points (0, 1) and (3, 2).
m = (2 - 0)/(3 - 1).
m = 2/2.
m = 1.
2 = 1(3) + b.
2 = 3 + b.
b = -1.
y = x - 1.
8. The graph of this function has points (- 3, 0) and (0, 3).
m = (3 - 0)/(0 + 3).
m = 1.
3 = 1(0) + b.
b = 3.
y = x + 3.
9. The graph of this function is a vertical line parallel to the y-axis,
x = 3.
10. The graph of this function has points (0, 0) and (- 1, 3).
m = (3 - 0)/(- 1 - 0).
m = 3/ - 1.
m = - 3.
0 = - 3(0) + b.
b = 0.
y = - 3x.
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ5
Consider the function y=0.88(1.1)x.identify what type of function this is
A.Exponential growth
B.Exponential decay
Answers
Answer:
A
Step-by-step explanation:
Can you please help me
Answers
9514 1404 393
Answer:
x = 65°y = 32.5°Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
__
Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
WELLPPPPPPPPPPP!!!! I NEED HELP ASAP
Answers
Answer:
Only B I'm pretty sure and if I'm wrong I'm sorry but I'm like 99% sure it's only B