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Andru [333]
3 years ago
8

PLEASE HELP THIS IS MY LAST QUESTION!

Mathematics
2 answers:
Usimov [2.4K]3 years ago
8 0

Answer:

(6, 7.2)

Step-by-step explanation:

Since it is an equilateral triangle, all of the side length must be equal.

Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says

(JK/2)² + <em>h</em>² = JL²

putting in the values of JK and JL gives

(6/2)² + h² = 6²

3² + h² = 6²

subtracting 3^2 from both sides gives

h² = 6² - 3²

h² = 27

Taking the square root of both sides gives

h =

\sqrt[3]{3}

h = 5.2

With the value of h in hand, we can now read off the coordinates of L.

The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).

The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).

Svetlanka [38]3 years ago
6 0

Answer:

The X coordinate is 6, since it's midway between J and K. If you draw a midline from L, and running to the midpoint of the line JK, you make two right angled triangle. The length of the midline would be the square root of the difference of the squares of six and three, which is 5.20, which is the offset of the Y coordinate of L from the Y coordinate of J and K, which is 2. Add 5.20 to 2 to get the Y coordinate of L as 7.20. L is therefore (6,7.20)

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The area of a rectangle is expressed as x4 - 9y2. What are the possible dimensions of the rectangle?
AnnyKZ [126]

This is a stupid question.  The teacher who asked this needs to go back to school.

A = x⁴ - 9y²

That's going to be a number.  As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L.   So the correct answer is the dimensions are L by  (x⁴ - 9y²)/L.

They don't want the correct answer.  They want you to factor this expression.  We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.

We use the difference of two squares, a²-b² = (a+b)(a-b)

A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)

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3 years ago
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rosijanka [135]

Answer:

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Step-by-step explanation:

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Subtract 7v from 8v

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4 0
3 years ago
If tan∅ = √15÷10, find cot∅
Ghella [55]

Answer:

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Step-by-step explanation:

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cot ∅ = 10 / √15

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jeyben [28]
The maximum monthly rent that she should pay is 2,784.
Solution:
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Since her annual salary is 46,392, she can still afford to pay the rent for 2,784 per month, which equals to 33,408 annually. 
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konstantin123 [22]

Answer:

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