Answer:
B) 3^-5 <em>(1 / 243)</em> and D) 2^5 x 6^-5 <em>(</em><em>1</em><em> </em><em>/</em><em> </em><em>2</em><em>4</em><em>3</em><em>)</em>
Step-by-step explanation:
3 to the negative 5th power as a fraction is
1 / 243.
2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.
Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).
Answer:
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Answer:
x = 4
Step-by-step explanation:
180 = 102 + 24x - 18
- 102 - 18 = 84
- subtract 84 from both sides
- 96 = 24x
- divide both sides by 4
- 4 = x
Find the vertex by using the formula -b/2a
To find a and b, we must know that a and b are located at y = ax^2 + bx + c.
We find that b is 4 and a is 1 by looking at the given quadratic function.
The answer is A. -4/2(1) because the question is looking for the correct steps to find the answer.
Answer:
110.5 yd²
Step-by-step explanation:
Separate the figure into 1 triangle and 3 rectangles.
(see attached image)
<u>Area 1</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (7 + 2 + 2) × 7
= 1/2 × 11 × 7
= 38.5 yd²
<u>Area 2</u>
Area of a rectangle = width × length
= 3 × (5 + 2 + 2)
= 3 × 9
= 27 yd²
<u>Area 3</u>
Area of a rectangle = width × length
= 5 × (5 + 2)
= 5 × 7
= 35 yd²
<u>Area 4</u>
Area of a rectangle = width × length
= 2 × 5
= 10 yd²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10
= 110.5 yd²
