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Anna35 [415]
4 years ago
7

X2-3xy-5xy-7y2+4x2+8y2

Mathematics
1 answer:
Zepler [3.9K]4 years ago
4 0

For this case we must simplify the following expression:

x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2

We must add similar terms taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2

Thus, the simplified expression is:

5x ^ 2-8xy + y ^ 2

Answer:

5x ^ 2-8xy + y ^ 2

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Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle
mel-nik [20]

Vic and Dan are 2, 897m apart.

<h3>How to determine the distance</h3>

It is important to note that the distance between Vic and Dan is the base of CN

Let's say the distance to Dan is x

The distance to Vic is y

Using cosine ratio, we have

cos α = opposite / adjacent

α = 72°

opposite = 553. 3cm

Adjacent = x

cos  72° = \frac{553. 3}{x}

Cross multiply

cos 72 × x = 553. 3

0. 3090x= 553. 3

x = \frac{553. 3}{0. 3090}

x = 1, 790. 61 m

The distance to Vic is y

Using the cosine ratio, we have

cos 60 = \frac{553. 3}{y}

Cross multiply

0. 5y = 553. 3

y = \frac{553. 3}{0. 5}

y = 1,106. 6m

To determine how far apart Vic and Dan, we use = x + y

= 1790. 61 + 1106. 6

= 2, 897. 21m

= 2, 897m

Thus, Vic and Dan are 2, 897m apart.

Learn more about bearing and distance here:

https://brainly.in/question/47782732

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7 0
2 years ago
Multiply (5x + 3) by (2x + 6) using the box method.
Drupady [299]

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18

8 0
3 years ago
Solve for x: 2x - 2y = 10, y = - 5.5
il63 [147K]
2x-2y=10
Y=-5.5
Sub y into the equation and solve for x
2x-2(-5.5)=10
2x+11=10
2x=10-11
2x=-1
X=-1/2
Hope this helps!
3 0
3 years ago
Which of these represents an integer? Select all that apply. (There should be two anwsers) A. -3 B. 4 C. 2 1/2 D. 8/4
Sladkaya [172]
A.-3, B.4; the definition of integer is a who number. Fractions are not whole numbers (the fractions in choice C and D) while fractions are not whole numbers, negative numbers are still numbers.
7 0
4 years ago
Write the slope intercept form of 11x-8y=-48
bija089 [108]
Y=(11/8)x+6
subtract the 8y to the right then add the 48 to the left then divide by 8

8 0
4 years ago
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