Answer:
6 cm
Step-by-step explanation:
Let the smaller square have side of x then the larger square has side 2x
Sum the areas of the 2 squares and equate to 45
x² + (2x)² = 45
x² + 4x² = 45
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x =
= 3
side of smaller square = 3 cm
side of larger square = 2 × 3 = 6 cm
check : 3² + 6² = 9 + 36 = 45 cm² ← correct
Considering the equation of the parabola, the directrix is: x = 1.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of an horizontal parabola, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
The directrix is at x = h - p.
For this problem, the equation is:
(y + 3)² = 8(x - 3).
The relevant coefficients for this problem are:
4p = 8 -> p = 2, h = 3.
Hence the directrix is:
x = h - p = 3 - 2 = 1.
More can be learned about the equation of a parabola at brainly.com/question/17987697
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Step-by-step explanation:
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The length of hockey rink is 200 feet and width of hockey rink is 85 feet.
Step-by-step explanation:
Given,
Perimeter of hockey rink = 570 feet
Width of hockey rink = w
Length of hockey rink = w+115
As a hockey rink is in rectangular shape;
Perimeter of rink = 2(Length + Width)
![570=2(w+115+w)\\570=2(2w+115)\\570=4w+230\\570-230=4w\\340=4w\\4w=340](https://tex.z-dn.net/?f=570%3D2%28w%2B115%2Bw%29%5C%5C570%3D2%282w%2B115%29%5C%5C570%3D4w%2B230%5C%5C570-230%3D4w%5C%5C340%3D4w%5C%5C4w%3D340)
Dividing both sides by 4
![\frac{4w}{4}=\frac{340}{4}\\w=85](https://tex.z-dn.net/?f=%5Cfrac%7B4w%7D%7B4%7D%3D%5Cfrac%7B340%7D%7B4%7D%5C%5Cw%3D85)
Width of hockey rink = 85 feet
Length of hockey rink = 85+115 = 200 feet
The length of hockey rink is 200 feet and width of hockey rink is 85 feet.
Keywords: rectangle, division
Learn more about division at:
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Answer:
$2.50
Step-by-step explanation:
Shelley buys one pack of gum for $1
Price of gum: $1
Total amount of money spent: $1.00
Shelley buys another pack of gum for $0.50 more
1 + 0.50 = 1.5
Price of gum: $1.50
Total amount of money spent: $2.50