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Kaylis [27]
3 years ago
10

" alt="4(a + 2 ) - 2 (a - 3)" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
satela [25.4K]3 years ago
5 0

Answer:

\large\boxed{2a+14}

Step-by-step explanation:

4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14

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Find the center and radius of x^2 – 18x + y^2 -10y = -6. part two write x2 – 18x + y2 -10y = -6 in standard form
Aleks04 [339]

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = \sqrt{100} = 10

4 0
3 years ago
Rob was tasked to graph this system of equations:
Mars2501 [29]

Answer:

6x + 2y =5

y + 3x= 2

Step-by-step explanation:

5 0
3 years ago
Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets
Artyom0805 [142]

Step-by-step explanation:

you need to find out how many poeple u have first

4 0
2 years ago
Which of the following correctly completes the the square for the equation below? x^2+18x=0
Nookie1986 [14]
X² +18x = 0

To complete the square we are going to use formula a² +2ab +b² = (a+b)²

x² +2*9*x = 0
x² +2*9x+9² = 9²
(x+9)² = 9²
√(x+9)² = +/-√9²
x+9 = 9, or x+9 = -9
x=0, or x= - 18

The equation could be solved different way
x² +18x = 0
x(x+18) = 0
x=0 or x+18=0
x=0 or x=-18

4 0
4 years ago
Read 2 more answers
When two computers are working together, they can finish updating software in 9 minutes. How long would they take individually t
tensa zangetsu [6.8K]
First computer takes x min. For 1 min it does 1/x part of work.

Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.

Both computers for one min do   (1/x+1/(x+24)) part of work.

At the same time, both computers for one min do 1/9 part of work.

\frac{1}{x} + \frac{1}{x+24} = \frac{1}{9} 
\\ \\  \frac{x+24+x}{x(x+24)} =  \frac{1}{9} 
\\ \\9(2x+24)=x^{2} +24x
\\ \\ 18x+216=x^{2} +24x
\\ \\ x^{2}+6x-216=0
\\ \\ D=b^{2}-4ac=36+4*216 = 900
\\ \\ x= \frac{-b+/- \sqrt{D} }{2a}  =  \frac{-6+/-30}{2} 
\\ \\ x_{1}=-18, x_{2}=12

We can use only positive number here. So, 

for the first computer x=12 min,

 for second computer x+24=12+24= 36 min

Answer 12 min and 36 min.


7 0
4 years ago
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