Answer:
d. 7 × (10 + 9) = (7 × 10) + (7 × 9)
Step-by-step explanation:
The format of writing numbers in distributive property is a(b+c) = (a×b)+(a×c)
We can see that in choice d. 7 × (10 + 9) = (7 × 10) + (7 × 9) it is in correct format of writing numbers in distributive property. Thus, choice d. is correct.
Verification:-
a(b+c) = (a×b)+(a×c)
7 × (10 + 9) = (7 × 10) + (7 × 9)
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax
The answer is 114, because they are alternate interior angles, so they are equal
Solution:
<u>First, let's find the surface area of the triangular prism.</u>
- 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
- => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
- => (96) + 120 + 72 = Surface area of triangular prism
- => 96 + 192 = Surface area of triangular prism
- => 288 ft² = Surface area of triangular prism
<u>Now, let's find the surface area of the rectangular prism.</u>
- 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
- => 2(162) + 2(54) + 2(108)
- => 324 + 108 + 216
- => 2(324) = 648 ft²
<u>Now, add both the surface areas to find the surface area of the figure.</u>
- 288 + 648 = Surface area of figure
- => 936 ft² = Surface area of figure
The surface area of the figure is 936 ft².
The answer is True.
On differentiating using product rule,
![\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20x%28e%5E%7Bx%7D%29%2Be%5E%7Bx%7D%281%29%7D)
![\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20e%5E%7Bx%7D%28x%20%2B%201%29%7D)
The general form of product rule :
