Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
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A square has a perimeter of 56 m. What is the length of each side?
The length of each side of the square is when the perimeter of 56 m.
The square is a four sided figure with all sides are equal in length .
The measure of all the angles of square is [tex]90^o[/tex].
Given:
The perimeter of the square = 56 m
Let, the side of square be s m.
The side of the square can be calculated using the formula:
Perimeter of square = 4 [tex]\times\\[/tex] s
56 = 4 [tex]\times[/tex] s
The value of s can be obtained by dividing both sides by 4
[tex]\dfrac{56}{4}[/tex] = s
s = 14
Thus, the length of each side is 14 m
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f(x) = 2x^2 +4/ x^2 +5x+6 find vertical and horizontal asymptotes (show work) 100 points please help):
Answer:
tkdykxkgxgjztkxykxukx
Step-by-step explanation:
xgmxykxtkzmtzylcl
If f(x) = 3x - 7, find f(-1)
One estimate for the ideal body weight of a woman is shown below.
59kg+2.6kg for each inch over 5 feet.
A) Find the linear model For an estimate of the ideal weight of a woman using W for ideal body weight (in kilograms) and H for the height over 5 feet (in inches)
this is tough, if you explain the question better I can help!
Answer:
Step-by-step explanation:
Can y’all help me on question 8?!
Answer: Car rental A and B
Step-by-step explanation:
Answer:
B. Car rental Company B
D. Car rental Company A
Step-by-step explanation:
Car rental Company A: $16.50 a day
Car rental Company B: $16.6667 a day
I hope this helps
Find the area of this polygon
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. ... The formula for the area of a regular octagon is 4.828 s², where s is the length of any side.
Answer:
iahaksgsknslsnsknsjsmzjsjsjsksksns
Can someone help me, please???
Answer:
12
Step-by-step explanation:
4 times 3 = 12
Tito used 1 1/8 gallons of paint to paint 3/7 of a fence. How many gallons of paint would it take to paint the whole fence?
1 1/8:3/7
How many gallons does it take to cover 1/7 of the fence?
1 1/8 divided by 3= 9/8 divided by 3/1 or 9/8*1/3=9/24 or 3/8.
It takes 3/8 of a gallon to paint 1/7 of a fence.
7*3/8= 7/1*3/8= 21/8.
I believe your answer is: it takes 21/8 or 2 5/8 gallons of paint to paint the whole fence.
find x (geometry) plz help
Step-by-step explanation:
[tex] \frac{ \sin(x) }{12} = \frac{ \sin(75) }{22} \\ \sin(x) = \frac{12 \sin(75) }{22} \\ \sin(x) = 0.5268 \\ x = 31.79 = 31.8[/tex]
Add and
subtract fraction. X+5=23
Plz help quick need answer
Answer:
If you write the problem down, I mean right exactly your equation I will put in the answer
Step-by-step explanation:
Or if you show me your answer to the problem I will check what you did wrong
solve each proportion algebraically. show you work. 9/15=m/25
Answer:
m=15
Step-by-step explanation:
15 x 5 = 75 = 25 x 3
9 x 5=45 so 45/75 = 3m/75
45/3=15
m=15
please help PLEASE HELP!!!!!!!!!!!!!!!
Step-by-step explanation:
you have to have some number for someone to solve it
Write a verbal description of the set {a, i, e, o, u}
The set {a, i, e, o, u} can be verbally described as the set of vowel letters in the English alphabet.
A verbal description of the set {a, i, e, o, u}It includes the letters 'a', 'i', 'e', 'o', and 'u', which are commonly recognized as the five vowel letters used to represent different vowel sounds in English words.
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The formula to determine energy is E = 1/2 mv2. What is the formula solved for v?
the velocity ????????????
0.45m-9=0.9m
Subtract 0.45m from both sides
Answer:
Step-by-step explanation:
If you're trying to isolate the variable the first thing you would want to do is actually add 9 to both sides.
Answer:
-9 = 0.45m
Step-by-step explanation:
0.45m - 9 -0.45m= 0.9m - 0.45m
b + 12=16; 2,3,4
What’s number 1
Answer:
4
Step-by-step explanation:
4+12 = 16
-You got this!
4.) Which equations are equal to 1/2(4 + 8x) = 17 ? Select All that apply. *
2 points
2 + 4x = 8.5
4 + 8x = 34
4x = 15
2 = 17 - 8x
5.) Solve the equation -4(1.75 + x) = 18. SHOW YOUR WORK. *
2 points
no se que decir pero usted sabe ispañol
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 11% per year. Bill deposited the money in a bank that offered an interest of 9% compounded annually. Who would be richer at the end of 6 years and by what amount? Joe: $ , Bill: $ , . earns more.
Answer:
Bill by $85
Step-by-step explanation:
Bill : Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given is then subtracted from the resulting value.
Compounded annually for 6 years at 9 % interest Bill would have $8385.50.
Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.
P is the principal amount, $5000.00.
r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.
t is the time involved, 6year(s) time periods.
So, t is 6year time periods.
To find the simple interest, we multiply 5000 × 11 × 6 = 3300
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 5000.00 + 3300.00 = 8300.00
As you can see Bill has more by $85.
^Check yourself
What kind of growth model (pattern) is shown in the table?
X
1
2
3
4.
5
у
5
25
125
625
3,125
square root
linear
expggential
quadratic
Answer:
Step-by-step explanation:
exponential
Un objeto es lanzado verticalmente hacia arriba con una rapidez de 34 m/s
A. ¿que rapidez tendrá cuando le faltan 12 m para alcanzar la altura máxima?
B. ¿qué tiempo tarda en alcanzarla?
Answer:
a
Step-by-step explanation:
aa
Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number
Answer:
16[tex]\frac{43}{52}[/tex]
Step-by-step explanation:
875/52 = 16[tex]\frac{43}{52}[/tex]
How do you write 35 feet above sea level? A) -35 B) +35 C)/35 D) 35%
Answer:
b
Step-by-step explanation:
Which inequality is true if p = 2.8?
Complete question :
Which inequality is true if p = 2.8?
3p < 10.2
13.6 ≤ 3.9p
5p > 17.1
8.5 ≥ 2.5p
Answer:
3p < 10.2
8.5 ≥ 2.5p
Step-by-step explanation:
To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :
3(2.8) < 10.2
8.4 < 10.2 ( true)
13.6 ≤ 3.9p
13.6 ≤ 3.9(2.8)
13.6 ≤ 10.92 ( False)
5p > 17.1
5(2.8) > 17.1
14 > 17.1 ( False)
8.5 ≥ 2.5p
8.5 ≥ 2.5(2.8)
8.5 ≥ 7 (True)
Pls help I’ll brainlest ASAP
Answer:
g = 34
Step-by-step explanation:
whats 40 = 1.6m ? help please
Answer:
2.5
Step-by-step explanation:
Divide each side by 1.6 to get m alone, thus getting the answer, so 1.6m/1.6 and 40/1.6
The solution of the equation 40 = 1.6 m is m is equals to 25.
Given Equation:
40 = 1.6m
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
First, write the decimal 1.6 in fraction as 16/10.
So, the equation can be written as
40 = 16/10 (m)
40 x 10 = 16m
400 = 16 m
Now, divide both side of equation by 16
400/ 16= 16 m/ 16
25 = m
Therefore, the value of m is 25.
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5.
(x + 10°)
(x + 20°)
There are 15 circles and 9 triangles. What is the simplest ratio of
triangles to circles?
Answer:
9:15
Step-by-step explanation:
The required ratio of the number of triangles to the number of circles is 3:5.
Given that,
There are 15 circles and 9 triangles. What is the simplest ratio of triangles to circles is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
Here,
Number of circles = 15
Number of triangles = 9
The ratio of the triangle to the circle,
= Number of triangles / Number of circles
= 9 /15
= 3 / 5
Thus, the required ratio of the number of triangles to the number of circles is 3:5.
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Please help find the measurement of exterior angle MBI
Answer:
The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with
N sides. It is equal to 360 o N .
Step-by-step explanation:
Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.
However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to 360 o .
It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of
360 o . So, if all exterior angles are equal, like in a regular polygon, each one equals to 360 o N .
It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is ( N − 2 ) ⋅ 180 o .
Dividing the above by N
we will obtain a value of an interior angle: ( N − 2 ) ⋅ 180o N .
Therefore, exterior angle of a regular polygon is 180 o − ( N − 2 ) ⋅ 180 o N = 360 o N
Pleasee help!! “It costs $2.75 to buy 3/4 lb of grapes. How much would it cost to purchase 9.5 lbs of grapes? Explain or show your reasoning.”
Answer:
$34.83
Step-by-step explanation:
First convert 3/4 to decimal form: 3/4 = 0.75
Create a proportion using similar rates:
$2.75 / 0.75 lb = x / 9.5 lb
where "x" represents the price of the 9.5 lbs of grapes we need to find.
Solve for x by multiplying both sides by 9.5 lb to isolate x completely
2.75 * 9.5 / 0.75 = x
Therefore x = $34.83