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sveta [45]
3 years ago
10

Complete the equivalent equation for –7x – 60 = x2 + 10x.

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0

Answer:

x = -5

x = -12

Step-by-step explanation:

- 7x - 60 = x^2 + 10x

add 7x to both sides

x^2 + 17x = -60

add 60 to both sides

x^2 + 17x + 60 = 0

factorise quadratic

(x + 12) (x + 5) = 0

<em>x = -12</em>

<em>x = -12x = -5</em>

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It's 2 7/12

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Find the area of the figure.
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120?

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An integer is 5 more than 4 times another. If the product of the two integers is 51, then find the integers.
Yakvenalex [24]

Answer:

  • <u>3 </u><u>and</u><u> 17</u> are required integers

Step-by-step explanation:

  • Let one integer be x
  • And other integer be y

x = 4y + 5

xy = 51

<u>According to </u><u>question </u><u>:</u>

➞ (4y + 5)y = 51

➞ 4y² + 5y = 51

➞ 4y² + 5y - 51 = 0

➞ 4y² + 17y - 12y - 51 = 0

➞ y (4y + 17) - 3(4y + 17) = 0

➞ (y - 3)(4y - 17) = 0

➞ y - 3 = 0

➞ <u>y = 3</u>

Hence,

➞ <u>y = 3</u>

➞ x = 4y + 5

➞ x = 4 (3) + 5

➞ x = 12 + 5

➞<u> </u><u>x = 17</u>

∴ The required integers are <u>3 and 17</u>

7 0
2 years ago
You have a litre bottle of water and drink 375 millilitres.<br><br> How much is left?
enot [183]

Answer:

625 millilitres

Step-by-step explanation:

1 litre = 1000 millilitres

Left -> 1000 millilitres - 375 millilitres = 625 millilitres

5 0
3 years ago
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
ryzh [129]

Answer:

The speed of the plane is v=1.2\: m/s

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

v=\frac{x}{t}=\frac{6}{5}

v=1.2\: m/s

I hope it helps you!

3 0
3 years ago
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