The perimeter of the given rectangle is, 19.2112
Given that, the vertices of the rectangle are A(-3,-2), B(-5,-5), C(1,-5), D(3,-2) .
to find the perimeter through the given vertices, we need to calculate the distance from the vertices AB,BC,CD,DA.
we already know that the sum of all sides of the rectangle is known as the perimeter of the rectangle.
Using distance formula between 2 vertices , √[(x2-x1)²+(y2-y1)²]
AB = √[(-5+3)²+(-5+2)²]
= √[(-2)²+(-3)²]
= √[4+9]
= √[13]
= √13
AB = 3.6056
BC = √[(1+5)²+(-5+5)²]
= √[(6)²+(0)²]
= √[36+0]
= √[36]
= √36
BC = 6
CD = √[(3-1)²+(-2+5)²]
= √[(2)²+(3)²]
= √[4+9]
= √[13]
= √13
CD = 3.6056
DA = √[(-3-3)²+(-2+2)²]
= √[(-6)²+(0)²]
= √[36+0]
= √[36]
= √36
DA = 6
Therefore perimeter of the rectangle with given vertices is ,
= AB+BC+CD+DA
= 3.6056+6+3.6056+6
= 19.2112
= 19 (rounded to nearest tenth).
Therefore the perimeter of the rectangle with given vertices is 19.2112
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Original Shirts Cost: $55
Current Shirts Cost: $40
Find The Percent Of Decrease
?%
Round To Nearest Whole %
I really need to know??
Answer: 27% decrease
Step-by-step explanation:
Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 points) Figure ABCDE is shown. A is at negative 3, 1. B is at negative 1, 3. C is at 3, 3. D is at 2, 0. E is at negative 1, negative 1
Figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.
How to Identify Similar Triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary.
In figure ABCDE vertices A,B,C,D,E are given so we can find their sides by applying distance formula:
D=√((x2 - x1)² + (y2 - y1)²)
With the help of this formula we can find AB;
AB = √(-1 - (-3))² + (3 - 1)²)
AB = √((-1 + 3)² + (2)²)
AB = √((2)² + (2)²)
AB = √(4 + 4)
AB = √8
AB = (√2*2) * 2
AB = 2√2
Likewise, we can find the remaining sides as;
BC = 4, CD = √10, DE = √10 and EA = 2√2
FG = √2, GH = 2,HI = 1.58114, IJ = 1.58114 and JF = √2
When the two figures are similar then the ratios of their corresponding sides are equal.
Thus, we have that;
AB/FG = BC/GH = CD/HI = DE/IJ = EA/JF
Therefore, we conclude that figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.
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Evaluate The Following Expression
−7 × 7 + 9 × −1 /−1
Answer:
-50+9x
Step-by-step explanation:
multiply the numbers -49+9x -1
calculate the difference(-49-1 -50 + 9x
Look at this equation. 48 = 12x. Which value of x makes the equation true?
Answer:
x= 4
Step-by-step explanation:
simple math
48/12 = x
x= 4
please write in y=mx+b format
Answer:
y=2x-1
Step-by-step explanation:
Express the radical using the imaginary unit, iii. Express your answer in simplified form. \pm\sqrt{-38}=\pm
Simplified form of the given radical will be,
⇒ ± √-38 = ± i√38
What is imaginary unit?
The imaginary unit is use to find solutions of many equations that do not have real number solutions.
The radical is given is,
± √-38
Now, Simplify the given radical as,
We can rewrite the radical as;
± √-38 = ± √-1 x √38
= ± i√38
( Since, √-1 = i )
Hence, Simplified form of the given radical will be,
± √-38 = ± i√38
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What is 12-93.
I know this but First To Answer Correctly Gets Brainliest
Answer:
81
Step-by-step explanation:
93-12=81
A container began leaking water at 5:00 A.M. The table shows the linear relationship between the number of gallons remaining in a container and the number of hours since 5:00 A.M. Which function can be used to find y, the number of gallons remaining after x hours since 5:00 A.M.?
Answer: I need help on this one 2
Step-by-step explanation:
Answer:G
Step-by-step explanation:
Xina has $289 and spends $55 at the grocery
store, and $32 on gas. How much does she
have left?
Will mark Brainliest just answer the following questions
Answer:
18
Step-by-step explanation:
Answer:
A. 8 , 3(4)-4= 8
B. -2 , 5-(-3)= -2
C. -18 , 5-4+3(-5)-4 = -18
Verizon charges $76.00 for 500 minutes and Sprint charges $54.00 for 450 minutes. Who has the better deal? *
Answer:
i think it would be sprint cause it is lest money and the mintues is 450 but the other is just 50 more mintues and you have to pay 22 more dollor for verizion so i pick sprint have a nice day
Step-by-step explanation:
Find the missing value in the ratio table.
100 25
60 15
30 7.5
5
Answer:
1.25
Step-by-step explanation:
What is the value for f(x) =0
The function can be graphed to demonstrate this further. On the graph where f(x)=0, the curve is just the x-axis, which always has the same y-value of 0.
How to find the domain of a function ?Domaine:The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
Given the function f(x)=0,
since this is a constant function (that is, for any value of x, f(x)=0, the limit of the function as x→a, where a is any real number, is equal to 0.
More specifically, as a constant function,f(x) maintains the same value for any x. f(1)=f(2)=f(π)=f(e)=f(−(1258567)/(44))=0. Further, as a constant function, f(x) is by definition continuous throughout its domain. Note, however, that if one arrives at a constant function via division or multiplication of non-constant functions (for example, (8x)/(x), there will still exist a discontinuity where the original denominator was0).
Graphing the function will further prove this point. On the graph f(x)=0, the curve is simply the x-axis, which maintains a constant y-value of 0 no matter the x-value.
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help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
pls help its timed!!
(HELP!! WILL GIVE 86 POINTS!!)
Use the elimination method to solvethe system of equations. Choose the
correct ordered pair.
-x+y= -2
2x- 3y = 4
Answer: 2(−x+y=−2)
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0for y:
−y=0
−y/-1 = 0/-1 (Divide both sides by -1)
y=0
Step-by-step explanation:
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute 0 for y in −x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/-1 = -2/-2 (Divide both sides by -1)
x=2
Answer:
x=2 and y=0
Answer: x=y+2
Step-by-step explanation:
Step 1: Add -y to both sides.
−x+y+−y=−2+−y
−x=−y−2
Step 2: Divide both sides by -1.
-x/-1 = -y - 2/-1
asnwer: x=y+2
Answer: x = 3/2y + 2
2x−3y=4
Step 1: Add 3y to both sides.
2x−3y+3y=4+3y
2x=3y+4
Step 2: Divide both sides by 2.
2x/2 = 3y + 4/2
answer: x = 3/2y + 2
You need to Find the angle x
Answer:
its 62 degrees
Step-by-step explanation:
the triangle is a isolosies triangle
3 Lila planted a tree in her backyard. She made this graph to show the tree growth for over 5 years. Part A Complete the equation to correctly show how to find the slope for the function shown in the graph.
Answer: Part A : slope = 20/1 -8/1 12/4 =3 Part B: The y-intercept is 5
Step-by-step explanation: I just did this with my teacher..Hope this helps! ( The numbers in bold are the answers)
The slope of the graph is 3 and the y intercept is 5.
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept
Let y represent the height of the tree after x years.
The line passes through the point (0, 5) and (3, 14). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-5=\frac{14-5}{3-0} (x-0)\\\\y=3x+5[/tex]
Therefore the slope of the graph is 3 and the y intercept is 5.
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Pls help me it is a simple function
Answer:
blank 1 = 4
blank 2 = 1
Step-by-step explanation:
The slope is how much the y changes for each x value.
have a great day!!!
I need help
Which number has a 3 value that is 100 times greater than the value of the 3 in 20.342?
Answer:
36.25
Step-by-step explanation:
Answer:
36.25
Step-by-step explanation:
Tommy has $350 of his graduation gift money saved at home in the amount is modeled by the function h(x)=350. He reads about a bank that has savings account that accrue interest according to the function s(x)=(1.04))^x-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposit his $350 justify your reasoning
Answer:
Step-by-step explanation:
His functions are:
h(x)= $350
s(x)=(1.04))^x-1
To find total amount of money in Tommy's account using the functions above, we substitute the first function x= $350 in the second function
So, we can say that the new function represents the interest received by
Tommy with initial saving $350.
Function:A function is a group of statements that together perform a task.
Given that Tommy got $350 as the gift which he saves.
So, the amount saved is given by the function is [tex]h(x)=350....(1)[/tex]
Also, the interest by the saving bank account is given by,
[tex]s(x)=(1.04)^{x-1}....(2)[/tex]
Comparing equations (1) and (2) we get a new function as,
[tex]g(x)=350(1.04)^{x-1}[/tex]
The function gives the value [tex]h(x)=350[/tex] when [tex]x=0[/tex] and the amount is increasing by the interest.
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Solve by combining:
-x-y=6
5x-7y=66
Answer:
x = 2
y = 8
Step-by-step explanation:
-x - y = 6
5x - 7y = 66
-x - y = 6
x = -y - 6
5x - 7y = 66
5 ( -y - 6 ) - 7y = 66
-12y - 30 = 66
-12y = 96
y = -8
x = -y - 6
x = 8 - 6
x = 2
In montrel was -8 in new york it was 11 deggrees warmer, what was the tempreture in ny?
Answer:
3 degrees
Step-by-step explanation:
-8, -7 -6,-5,-4,-3,-2,-1,0, 1,2 3
If you count 11 spaces to the right on a number line, starting at -8, you will land at 3 degrees.
=========================================================
Explanation:
Think of the +11 as +8+3
Draw a vertical number line. Start at -8 on that number line. Then move up 8 units to arrive at 0. Afterward move the remaining 3 units to get to 3 on the number line. We've moved up a total of 8+3 = 11 degrees.
In other words, starting at -8 and moving up 11 units will have us arrive at 3
This visually shows -8+11 = 3
The diagram is shown below.
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Can you some please help me with this ASAP!!!
Answer:
slope is 0
Step-by-step explanation:
to find slope y2 - y1 / x2 - x1
(6, -2) and (12, -2)
-2 - (-2) / 12 - 6
= -2 + 2/6
= 0/6
= 0
Answer:
slope is 0
Step-by-step explanation:
For every 3 girls in Mr Hegarty's class there are 5 boys. What is the ratio of boys to girls in the class?
Give your answer in its simplest form. HELP
Find the value of x that will make A parallel to B
2x + 50
5x - 80
x = ?
Answer:
30
Step-by-step explanation:
If Line A is parallel to Line B, then 2x+50+5x-80 = 180. This is because 2x+50 is an alternate interior angle with the supplement of 5x-80, therefore the supplement of 5x-80 is also 2x+50. Supplementary angles add up to 180°.
Solve the Equation2x + 50 + 5x - 80 = 180 --> Combine like terms
7x - 30 = 180 --> Add 30 to both sides
7x = 210 --> Divide both sides by 7
x = 30
Check the Solution
We can check our answer by plugging 30 in for x back into our original equation.
2(30) + 50 + 5(30) - 80 = 180
60 + 50 + 150 - 80 = 180
110 + 150 - 80 = 180
260 - 80 = 180
180 = 180
Therefore x = 30.
Vince’s Vans table is shown. Complete the process column in the table, then create a verbal description and an algebraic rule to represent the cost of renting from Vince’s Vans. Use these representations, along with the graph for Vince’s Vans that you created in question 4, to answer questions 6 and 7.
Answer:
kay
Step-by-step explanation:
Please Help me it’s question 8
Answer:
the answer is c
toatally unrealated:
if you find yourself stumbbled like this again in multiple chice questions, there is a 60% chance the answer is c
Help please!!!!!!!?!
Answer:
i would go to c
Step-by-step explanation:
please help me asap
Answer:
B.) is the answer bro I got the same test bro like just trust me and give me 5 start and like and give a heart