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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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Determine the surface area of the shape below.
aev [14]

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

<u />

<u>Answer: 243.17</u>

5 0
3 years ago
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
irina [24]

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

7 0
3 years ago
Read 2 more answers
Charlie is cleaning her closet. She
Soloha48 [4]

Answer:

9 shirts

Step-by-step explanation:

12 - 6 = 6

6/2 = 3

3 times 3 = 9

8 0
3 years ago
Subtracting 5 from each score in a distribution with a mean equal to 40 and a standard deviation equal to 3 will result in a sta
LenaWriter [7]

Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.


The standard deviation will equal 3.

6 0
3 years ago
Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0
3 years ago
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