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Gnom [1K]
3 years ago
10

“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”

Mathematics
1 answer:
dsp733 years ago
5 0

Answer:

36 and 72

Step-by-step explanation:

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WORTH 20 POINTS HELP
vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}

RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}

ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}

TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

QR = \frac{9 + 1}{2 + 3} = \frac{10}3

RS = \frac{5-9}{-4 - 2} = \frac{2}3

ST = \frac{5+5}{-4 + 7} = \frac{10}3

TQ = \frac{-5+1}{-7 + 1} = \frac{2}3

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

6 0
2 years ago
If 3x + 4y = 10 and 2x + 3y = 6, then x + y = ?
zavuch27 [327]

Answer:

x + y = 4

Step-by-step explanation:

Given the 2 equations

3x + 4y = 10 → (1)

2x + 3y = 6 → (2)

Subtract (2) from (1) term by term on both sides

x + y = 4

5 0
3 years ago
What si the exponential form of 243
dezoksy [38]
2.43 x 10^2

Hope this helps
7 0
3 years ago
Read 2 more answers
Which equation is equivalent to ry (3x +2y) = 4?
d1i1m1o1n [39]

Answer:

I pretty sure it's C or lllll

3 0
3 years ago
What is the answer to that problem?
Rom4ik [11]
It will take him 182 because when you divide 2175 by12 u get 181.25 and you have to add a day for the point .25
8 0
3 years ago
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