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mamaluj [8]
3 years ago
6

Solve the following quadratic equation.

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Given:

Consider the given equation is

(x-18)^2=1

To find:

The values of x.

Solution:

We have,

(x-18)^2=1

Taking square root on both sides, we get

x-18=\pm\sqrt{1}

x-18=\pm 1

Adding 18 on both sides, we get

x-18+18=\pm 1+18

x=\pm 1+18

Now,

x=1+18 and x=-1+18

x=19 and x=17

Therefore, the correct option is A.

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Write the ratio as a fraction in simplest form. 3 ft to 7 yd
jolli1 [7]
Its going to be 3/7 because 3 is the first number and 7 is the second
4 0
3 years ago
Find the 7th term of the expansion of (3c + 2d)^9.
defon

Answer:

c

Step-by-step explanation:

Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term.  I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9).  If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.

The expasion is as follows (up to the 7th term):

1(3c)^{9} +9(3c)^{8}(2d)^{1} +36(3c)^{7}(2d)^{2} +84(3c)^6(2d)^3+126(3c)^5(2d)^4+126(3c)^4(2d)^5+84(3c)^3(2d)^6

That last term is the 7th term.  You find out its value by multiplying all the numbers together and adding on the c^3d^6.  Again those come from Pascal's triangle, and it's one of the coolest math things ever.  I encourage you to take the time to explore how it works.

5 0
3 years ago
30 POINTS! NEED HELP ASAP
wolverine [178]
1. Answer: 15.7143

log (7x-10)=2

Use the identity: loga(x)=b = x=(a)(b)

7x-10=10^2

Evaluate the Power

7x-10=100

Addition Property of Equality

7x=110

Division Property of Equality

x=110/7 or 15.7143

2. Answer: 0.3107

log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107


3. Answer: 0.002

log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500

Answer: 0.002

Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps


8 0
4 years ago
Π=what<br><br> plz all the numbers of pie<br><br> the winner gets 100 coins and brainless
pashok25 [27]

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

3 0
3 years ago
6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
Anastaziya [24]

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft

8 0
3 years ago
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