Answer:
Step-by-step explanation:
When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet
The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39
If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
Net Price: $ 802.99
+ Sales Tax (7.25%): $ 58.22
Total Price: $ 861.21
Placing the equation of the circle in standard-form, the correct statements are given as follows:
- The radius of the circle is 3 units.
- The center of the circle lies on the x-axis.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center and radius r is given by:
In this problem, the equation is:
x² + y² - 2x - 8 = 0.
In standard-form:
x² - 2x + y² = 8
(x - 1)² + y² = 8 + 1²
(x - 1)² + y² = 9
Center of (1,0), on the x-axis, radius of 3, hence the correct statements are:
- The radius of the circle is 3 units.
- The center of the circle lies on the x-axis.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
More can be learned about the equation of a circle at brainly.com/question/24307696
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