The answer is C because 6x and 6 are both in the line
Answer:
lateral surface area of the triangular prism = 128 cm²
Step-by-step explanation:
The question is incomplete the picture below represents the complete question.
Lateral surface area of a triangular prism = PH
where
p = perimeter of the triangle
H = height of the prism
perimeter = 5 + 5 + 6 = 16 cm
height of the prism = 8 cm
Lateral surface area of a triangular prism = Perimeter of the triangle × height of the prism
lateral surface area of the triangular prism = 16 × 8
lateral surface area of the triangular prism = 128 cm²
Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Step-by-step explanation:
When we round 6.2 lb to the nearest pound we round down, because the digit after point is less than 5 (2<5), so

When we round $2.85 to the nearest dollar we round up, because the digit after point is greater than 5 (8>5), so

Now, 6.2 lb of blueberries will approximately cost

Hence, Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.