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spin [16.1K]
2 years ago
7

What is the answer of 4/13÷3/5​

Mathematics
2 answers:
andre [41]2 years ago
6 0

Answer:

20 / 39

Step-by-step explanation:

4 / 13 ÷ 3 / 5

= 4 / 13 × 5 / 3

= 4 × 5 by 13 × 3

= 20 / 39

vredina [299]2 years ago
5 0

Answer:

4/13 ÷ 3/5

4/13 × 5/3

4 × 5 / 13 × 3

20/39

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What is the solution of x=2+ square root x-2?
alex41 [277]

So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

x-2=\sqrt{x-2}

Next, square both sides:

(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2

Next, subtract x and add 2 to both sides of the equation:

x^2-5x+6=0

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

x^2-2x-3x+6=0

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

x(x-2)-3(x-2)=0

Now you can rewrite the equation as (x-3)(x-2)=0

Now, apply the Zero Product Property and solve for x as such:

x-3=0\\x=3\\\\x-2=0\\x=2

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}

Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>

8 0
3 years ago
So I need help with this. Why Do we seat?​
r-ruslan [8.4K]

Answer:

When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.

Step-by-step explanation:

hope this helps

6 0
2 years ago
Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5
KengaRu [80]
A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
4 0
3 years ago
What’s the answers to 13, 14, 14, and 16???
abruzzese [7]

For number 13,the arrow should be going “<“ way because it is in fraction form and the bigger the number the smaller the pieces. This repeats for the rest of the questions so for number 14,the answer is “=“,and for number 15 it is “>”
6 0
3 years ago
I need help with 20 and 21
7nadin3 [17]
Https://us-static.z-dn.net/files/d63/6f064638901e33bea26f4fc25a74aa69.jpg

6 0
3 years ago
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