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Murrr4er [49]
3 years ago
10

Identify the coordinates of point A after a translation with rule

Mathematics
2 answers:
den301095 [7]3 years ago
8 0
To identify the new coordinates after the translation I need the old coordinates
Bond [772]3 years ago
3 0
Your answers are simple they are (3,2), (2,3), (1,-2), and (1,2). I hope the answers help. ☺
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the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
alexandr1967 [171]

Required equation to determine two consecutive even number is x^{2}-16=0 and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum.  Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be x + 2  

Sum of two consecutive number = (x) + (x + 2)

\Rightarrow Sum of two consecutive number = 2x + 2

Product of two consecutive number = (x) \times(x+2)=x^{2}+2 x

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}

One even number = x=4

Other even number = x + 2 = 4 + 2 = 6

Hence required equation to determine two consecutive even number is x^2 -16 = 0 and required numbers are 4 and 6.

8 0
4 years ago
Customers per day: 98, 87, 93, 82, 101, 99, 97, 97, 91<br> Find the mean to the nearest tenth:
notsponge [240]
<h2>Mean = 93.3 (to nearest tenth).</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:79 82 87 91 93 97 97 98 99 101 102</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:79 82 87 91 93 97 97 98 99 101 102There are 11 numbers.</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:79 82 87 91 93 97 97 98 99 101 102There are 11 numbers.The Median is the center value (= the 6th</h2><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:79 82 87 91 93 97 97 98 99 101 102There are 11 numbers.The Median is the center value (= the 6thnumber) = 97.</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:79 82 87 91 93 97 97 98 99 101 102There are 11 numbers.The Median is the center value (= the 6thnumber) = 97.The mode = highest occurring value = 97.</h2><h2 /><h2>Mean = 93.3 (to nearest tenth).Median = 97.Mode = 97.Step-by-step explanation:Arrange the data in ascending order:79 82 87 91 93 97 97 98 99 101 102There are 11 numbers.The Median is the center value (= the 6thnumber) = 97.The mode = highest occurring value = 97.The mean = sum / 11 = 93.3.</h2>

7 0
3 years ago
Read 2 more answers
EFGH is a rhombus. Given EG = 16 and FH = 12, what is the length of one side of the rhombus?
Black_prince [1.1K]

Answer:

(C) 10 units

Step-by-step explanation:

It is given that EFGH is a rhombus and EG = 16 and FH = 12.

We know that the diagonals of the rhombus are the perpendicular bisectors, therefore OF=6, OH=6, OE=8 and OG=8.

Now, using the Pythagoras theorem in ΔOFG, we have

(FG)^{2}=(OG)^{2}+(OF)^{2}

(FG)^{2}=(8)^{2}+(6)^{2}

(FG)^2=64+36

FG=\sqrt{100}

FG=10

Thus, the value of the side of the rhombus will be 10 units.

Hence, option C is correct.

3 0
4 years ago
Read 2 more answers
Tammy's dad worked 618 hours in half a year. Louie's mom worked 487 hours in half a year​
AfilCa [17]

Answer:

what is the question for the problem

8 0
4 years ago
1/3 (2x-5) =3 how do I solve this equation
jeyben [28]
\frac{1}{3} (\frac{3}{1}) (2x-5) = 3 (\frac{3}{1})

2x-5=9

2x=14

\frac{2x}{2}= \frac{14}{2}

x=7
4 0
4 years ago
Read 2 more answers
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