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Lera25 [3.4K]
2 years ago
8

I need help with my math homework :(

Mathematics
1 answer:
insens350 [35]2 years ago
8 0

We plug in 14 for x when we set the two equations equal to each other to prove they are equal.

So true LM congruent to MN

You might be interested in
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
2 years ago
Can somebody please help me, i really didnt understand my teacher at all
Kamila [148]

Answer:

Step-by-step explanation:

It is a solution because if you plug in 84 for b you get 84/12 = 7

4 0
3 years ago
Answers:<br><br> A. 2<br><br> B. 2/3<br><br> C. 1/2<br><br> D. 1/4
laila [671]

Answer:

A. 2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet
Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

3 0
3 years ago
37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are
Maurinko [17]

48

1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2

3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4

5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6

6 x 4 x 2 = 48

OR 3 couples possible arrangements 3 x 2 x1 = 6

each couple 2 possible 2 x 2 x 2 = 8

therefore 6 x 8 = 48

8 0
2 years ago
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