Answer:
X = 9
Step-by-step explanation:
Answer: 
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
Therefore, you can rewrite the left side of the equation has following:
Descompose 32 and 8 into its prime factors:
Rewrite:
Then:
As the base are equal, then:
Solve for x:
The numerator is the top number while the denominator is the bottom number. So 1 is the numerator and 6 is the denominator.
The equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)
<h3>What is the equation of the ellipse represented in the graph?</h3>
Herein we have a representation of an ellipse in the image attached aside, ellipses are characterized by the following <em>standard</em> formula:
(x - h)² / a² + (y - k)² / b² = 1 (1)
Where:
- (h, k) - Coordinates of the center
- a, b - Lengths of the semiaxes
Please notice that ellipse will be vertical if b > a, otherwise it will be horizontal. The graph exhibits a <em>vertical</em> ellipse centered at the origin and therefore we conclude that (h, k) = (0, 0) and b > a (b = 10, a = 2). Finally, the equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)
To learn more on ellipses: brainly.com/question/14281133
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Answer:
h = 8
Step-by-step explanation:
Area of rectangle: base * height
So, by substituting the values given, we can write this equation:
Note: 1/4 = 0.25, so 3 1/4 = 3.25
A = b * h
26 = 3.25 * h
Divide both sides by 3.25.
h = 8
I hope this helps! Feel free to ask any questions!
