Answer:
A
Step-by-step explanation:
because 1/9^2 is also 9^-2 because when it is a negative exponent it turns into a fraction. it does this because it is negative and the negative is equal to the number of one with the exponent positive
Answer: 373/50
Step-by-step explanation:
Step 1: convert to a fraction
746% = 746 ÷ 100 = 7.46
7.46 = 373/50
Step 2: Write the number as a fraction of one: 7.46 = 746/100
Step 3: use a common divisor of 2 to reduce the numbers, we have
(746÷2)= 373
(100÷2)=50
when reduced to the simplest form= 373/50
Therefore, 746/ 100 = 373/50 when expressed as a mixed number.
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
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Answer:
198 feet per minute
Step-by-step explanation:
8910 feet ÷ 45 minutes = 198 feet per minute
The roots of the equation is x = 4.56 OR x = 0.44
<h3>Quadratic equation</h3>
From the question, we are to determine the roots of the given equation
The given equation is
x² -5x +2 = 0
Using the formula method,

In the given equation,
a = 1, b = -5, c = 2
Putting the values into the formula,



OR 
OR 
OR 
x = 4.56 OR x = 0.44
Hence, the roots of the equation is x = 4.56 OR x = 0.44
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