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Gala2k [10]
3 years ago
12

Complete the square for x^2+12x-5.

Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer:

x^2+12x-5=(x+6)^2-41

Step-by-step explanation:

The given expression is x^2+12x-5

Comparing to ax^2+bx+c, we have a=1,b=12,c=-5

We add and subtract (\frac{b}{2a})^2

x^2+12x+6^2-6^2-5

This implies that:

\boxed{x^2+6x+36}-36-5

The expression in the rectangle is a perfect square

(x+6)^2-41

Therefore x^2+12x-5=(x+6)^2-41

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Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 c
uysha [10]

Answer:

Step-by-step explanation:

1.2m = 120 cm

2.16 m = 216cm

120×216 =25920cm

2) 10×18 = 180

25920/180= 144

√144 = 12

8 0
3 years ago
The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa
Eduardwww [97]

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2.  Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So:  subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

7 0
3 years ago
Jeff writes comic strips for local newspaper. The number of comic strips he created is represented by the function f(x)=3x, wher
grin007 [14]
If Jeff writes comic strips at a rate of 3 comics an hour then you must put 3,4,7&9 into the function and add up the products.
9+12+21+27=69
5 0
3 years ago
Trapezoid ABCD is shown below.
notka56 [123]

Answer:

A III only

Step-by-step explanation:

Because it's the answer and also when you do 3 x 3 and divide it by 3 you will get 3 that's why it's A.) III only

7 0
3 years ago
Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros vei
vlada-n [284]

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

8 0
3 years ago
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