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Y_Kistochka [10]
3 years ago
5

Can you guys please help me with this I don’t understand it and it’s due please

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Read the image :D

I explained number two on it, you should be able to do the rest!

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Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.
IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0
2 years ago
Write in lowest terms:<br> 9/(15x)
liq [111]

Answer:

Step-by-step explanation:

3x - 25

 ———————

    5  

Should be something similar to that, sorry If i couldn't help much.

6 0
3 years ago
ALGUIEN AYUDEME POR FAVOR :( TENGO QUE ENTREGARLO EN 15 MINUTOS
Serggg [28]
Creo que es A si no es porfavor dime.
6 0
2 years ago
The perimeter of a square is 36<br>what is the area of the square?​
zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0
3 years ago
BELP ME WITH THIS PLZ!!!!!!
kati45 [8]

Answer:

The entire area of the sailboat is 60cm²

Step-by-step explanation:

You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.

In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.

Because the two triangles can be put together to form a single triangle, we don't need to measure them independently.  We can simply take the total length of their bases, multiply it by their height, and divide by two.  This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.

(2cm + 3cm) × 6cm

= 5cm × 6cm

= 30cm²

The rectangle's area is of course equal to its width times its height, so we can say:

2.5cm × 12cm

= 30cm²

The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²

3 0
3 years ago
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