Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.
![x\times (x+8)=65](https://tex.z-dn.net/?f=x%5Ctimes%20%28x%2B8%29%3D65)
![x^2+8x=65](https://tex.z-dn.net/?f=x%5E2%2B8x%3D65)
![x^2+8x-65=0](https://tex.z-dn.net/?f=x%5E2%2B8x-65%3D0)
Splitting the middle term, we get
![x^2+13x-5x-65=0](https://tex.z-dn.net/?f=x%5E2%2B13x-5x-65%3D0)
![x(x+13)-5(x+13)=0](https://tex.z-dn.net/?f=x%28x%2B13%29-5%28x%2B13%29%3D0)
![(x-5)(x+13)=0](https://tex.z-dn.net/?f=%28x-5%29%28x%2B13%29%3D0)
Using zero product property, we get
and ![x+13=0](https://tex.z-dn.net/?f=x%2B13%3D0)
and ![x=-13](https://tex.z-dn.net/?f=x%3D-13)
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.
Answer:
The answer is 2.5135145
Step-by-step explanation:
- The irrational number between 5,25 and 5,26
- 2.5135145...
- The number is non-terminating and non-recurring. Hence, it is an irrational number.
- A real number that cannot be expressed as a simple fraction is called an irrational number.
- It is impossible to express in terms of a ratio.
- If N is irrational, it is not equal to p/q, where p and q are integers and q is not equal to 0.
- Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
Answer:
D
Step-by-step explanation:
if AB is congruent to AC that means both are 76 degrees so subtract that from the total degrees of a whole triangle which is 180 that gives you A which is 28.
Hope it helps :)
Answer:
700,000+80,000+5,000+400+20
Answer:
58 units squared
Step-by-step explanation:
We want to find the area of the square. To do so, we need to find the hypotenuse of the right triangle because this coincides with the side length of the square.
We use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a^2 + b^2 = c^2
Here, a = 7 and b = 3, so:
7^2 + 3^2 = c^2
c^2 = 49 + 9 = 58
Now, the area of a square is: A = s^2, where s is the side length. Well, c is the side length, and we've already found what c^2 is (it's 58), so that means the area of the square is 58 units squared.
Thus, the answer is 58 units squared.