Answer:
Option 4. 256 - 64π is the correct option.
Step-by-step explanation:
In the given picture a square is circumscribed about a circle with a side = 2r
where r is the radius of the circle.
Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²
Now area of the circle = πr² = π × 8² = 64π in²
Now area of region that is inside the square and outside the circle =
Area of square - area of circle = (256 - 64π) in².
Therefore the answer is (256 - 64π).
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
<h3 /><h3>Equation of a line</h3>
The standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
1/3 renamed: 2/6 Mutiplies of denomonator 3,6,9,12,15,
4/9 renamed : 8/18 Mutiplies of denomonator 9,18,27,36
Step-by-step explanation:
I will help more in the comments sorry I couldn't read it all on here...
To answer this question you can create an equation in terms of the number of zucchini that were planted. Each other plant gives information that can relate to the number of zucchini plants.
# of cucumbers + # of tomatoes + # of zucchini
2z + 2z + 8 + z = 43
5z + 8 = 43
-8 -8
<u>5z</u> = <u>35</u>
5 5
z = 7 plants
There were 7 zucchini plants, 14 (2 x 7) cucumber plants, and 22 (2 x 7 + 8) tomato plants.
Answer:
C
Step-by-step explanation:
Direct variation is a special case of first order equations; in both cases, the input is multiplied by a constant which we call the "slope" or "constant of variation." However, no direct variation equation includes a constant ("y-intercept"). So, if a given equation does have a y-intersect, that equation does not represent direct variation; if it does NOT have a y-intercept, that equation represents direct variation.
A) involves a constant term, -2; NOT direct variation
B) involves a constant term, 10; NOT direct variation
C) Here 3y = x, or y = x/3, involves no constant term, so Does represent direct variation
D) involves a constant term -3; NOT direct variation
