Answer:
x + 4
Step-by-step explanation:
Area of rectangle= length × breadth
In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12
This means that;
5x2 + 23x + 12 = 5x + 3 (b)
Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3
To get the other length, we can factorize the algebraic expression;
5x2 + 23x + 12
Product: 60x^2 (20x × 3x)
Sum: +23x (20x + 3x)
Hence;
= 5x^2 + 20x + 3x + 12
Next, we find factors;
5x (x+4) + 3 (x+4)
Therefore, the factors are (5x + 3) and (x +4)
This means that the other length is (x +4)
Answer:
x = 5sqrt(3)
Step-by-step explanation:
This is a right triangle. We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
5^2 +x^2 = 10^2
25+x^2 = 100
Subtract 25 from each side
25-25 +x^2 = 100-25
x^2 = 75
Take the square root of each side
sqrt(x^2) = sqrt(75)
x = sqrt(3*25)
Remember sqrt(ab) = sqrt(a)sqrt(b)
x = sqrt(5)sqrt(3)
x = 5sqrt(3)
This needs a question in order to answer. I assume you have a fraction such as m = a/b and you need to find m for a and b. Please complete the question and I will edit my answer accordingly.
Answer:
2. 3 to the power of -5
4. 2 to the 5th power times 6 to the -5 power
Step-by-step explanation:
(2⁵)/(6⁵)
(2/6)⁵
(1/3)⁵
(3^-1)⁵
3^(-5)
(2/6)⁵
2⁵ × (6^-1)⁵
2⁵ × (6^-5)
