The area of the quadrilateral is equal to √901 square units.
<h3>What is an area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the quadrilateral in a two-dimensional plane is called the area of the quadrilateral.
Given that quadrilateral ABCD with A(-4,-2), B(-3,2), C(2,4) and D(4,-3). Calculate the sides of the quadrilateral by the distance formula,
AB = √[(2+2)² + (-3+4)²]
AB = √(16+1)
AB = √17
CD = √[(4-2)² + ( 4 + 3)²]
CD = √ (4+49)
CD = √53
The area will be calculated as,
Area = AB x CD
Area = √17 x √53
Area = √901 Square units
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Answer:
10
Step-by-step explanation:
Answer:
B. 110
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answer:
Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.
Joe consumption can be represented by:
x + 2y + z = 530 (1)
Darius consumption can be represented by:
2x + y = 370 (2)
Marian consumption can be represented by:
3y + z = 510 (3)
The equations can be represented in matrix form as:
The amount of calories in one serving of milk is 110 calories
Based on the given figure above, we can say that the area between <span>y = 1/x and y = 1/x^2 on the interval from x = 1 is infinite. It is considered infinite because 1/x is infinite and integral 1/x2 is considered finite, and this makes the result infinite. Hope that this answer helps. </span>