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Anna [14]
3 years ago
15

The diagonals of a rhombus intersect at the point (0,4). If one endpoint of the longer diagonal is located at point (4,10), wher

e is the other endpoint located?
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

The other endpoint is located at (-4,-2)

Step-by-step explanation:

we know that

The diagonals of a rhombus bisect each other

That means-----> The diagonals of a rhombus intersect at the midpoint of each diagonal

so

The point (0,4) is the midpoint of the two diagonals

The formula to calculate the midpoint between two points is equal to

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

we have

M=(0,4)

(x_1,y_1)=(4,10)

substitute

(0,4)=(\frac{4+x_2}{2},\frac{10+y_2}{2})

<em>Find the x-coordinate x_2 of the other endpoint</em>

0=\frac{4+x_2}{2}

x_2=-4

<em>Find the y-coordinate y_2 of the other endpoint</em>

4=\frac{10+y_2}{2}

8=10+y_2

y_2=-2

therefore

The other endpoint is located at (-4,-2)

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Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

-3x+y=9 -----> equation A

2x-y=-6 -----> equation B

Adds equation A and equation B

-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3

Find the value of y

-3(-3)+y=9

9+y=9

y=9-9=0

The solution of the system of equations is the point (-3,0)

4 0
3 years ago
(c^3b^1a^4)^4 + 3a^16b^4c^12
azamat

Answer: 4a16b4c12

Step-by-step explanation:

5 0
3 years ago
Which graft represent -3x+5y=-15
azamat

The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

-3x + 5y = -15

The above function shows a linear function we can write it as:

5y = 3x - 15

y = (3x - 15)/5

If x = 0, y = -3

x = 1, y = -2.4

x = 2, y = -1.8

x = -1, y = -3.6

x = -2, y = -4.2

Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

Learn more about the function here:

brainly.com/question/5245372

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7 0
2 years ago
Interest expense would be classified on a multiple-step income statement under the heading a) Other revenues and gains. b) Opera
DiKsa [7]

Answer:

Answer is c

Step-by-step explanation:

Interest expense has no relation with the companies' principal activities. Therefore, on a multiple-step income statement, besides the other expenses like lawsuit settlements, extraordinary losses from investments etc., interest expense is listed in the non-operating and other section.

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3 years ago
A bag of lollipops contains red lollipops and purple lollipops. 80% of the lollipops in the bag are red. A number generator simu
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Answer:

  The number generator is fair. It picked the approximate percentage of red lollipops most of the time.

Step-by-step explanation:

The other answer choices represent various misinterpretations of the nature of the experiment or the meaning of the numbers generated.

___

A number generator can be quite fair, but give wildly varying percentages of red lollipops. Attached are the results of a series of nine (9) simulations of the type described in the problem statement. You can see that the symmetrical result shown in the problem statement is quite unusual. A number generator that gives results that are too ideal may not be sufficiently random.

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