Answer:
13
Step-by-step explanation:
Diagonals of a rhombus are perpendicular bisector.
Hence, triangle ABE so formed would be a right triangle right angled at E.
Therefore, by Pythagoras theorem:

Answer:
Only area of PQR can be calculated.
Step-by-step explanation:
In PQR, we have both the base (24 cm) and the height (15cm) which is perpendicular to the base. Therefore using these two measurements, we can take

This is equal to 180 cm².
Answer: -(x + 3)^2 = 3
Explanation:
-x^2 - 6x + 6 = 0
-x^2 - 6x = -6
-x^2 - 6x + 9 = -6 + 9
-(x + 3)^2 = 3
Answer:
![\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D%3D%28a%5E%7B2%7D%2Bb%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Step-by-step explanation:
∵∛x = (x)^1/3
∴ ![\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D%3D%28a%5E%7B2%7D%2Bb%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
So you can replace the radicals by fractional exponents
Answer: x = 0.75
Step-by-step explanation:
3x+x - 3 =0
4x - 3=0
4x = 3
x = 0.75