Answer:
x = 8
Step-by-step explanation:
By first drawing a photo, pasted below, you can plot your points. Then use the formula:
a/c = b/d to plan out your equation
3x - 8/x = 16/x
Cross multiply so you then have:
16x = 3x^2 - 8x
24x = 3x^2
8 = x
To check:
3(8) - 8 = 16
24 - 8 = 16
16 = 16
Step-by-step explanation:
1) Perimeter = 2(l + w)
Perimeter = 2(94 + 64)
Perimeter= 2(158) = 361 cm
2) Fabric required = Area
Area = l × b
Area = 94 × 64
Area = 6016 cm²
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
Differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)
p^2-9=(p-3)(p+3)
factored is
(p-3)(p+3)(p^2+9)
Answer:
![\sin x + \sqrt{1-\sin^2x}](https://tex.z-dn.net/?f=%5Csin%20x%20%2B%20%5Csqrt%7B1-%5Csin%5E2x%7D)
Step-by-step explanation:
Given: sin x + cos x
To change the given trigonometry expression in term of sine only.
Trigonometry identity:-
Expression: ![\sin x+\cos x](https://tex.z-dn.net/?f=%5Csin%20x%2B%5Ccos%20x)
We get rid of cos x from expression and write as sine form.
Expression:
![\because \cos x=\sqrt{1-\sin^2x}](https://tex.z-dn.net/?f=%5Cbecause%20%5Ccos%20x%3D%5Csqrt%7B1-%5Csin%5E2x%7D)
Hence, The final expression is only sine function.