Answer: 2x+5y=100 and x+y=38
Step-by-step explanation:
The figure shows a parallelogram inside a rectangle outline: A parallelogram is shown within a rectangle. The length of the rect
angle is 1 over 2 foot and the width of the rectangle is 1 over 3 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 6 foot. What is the area of the parallelogram? 1 over 9 square foot 1 over 6 square foot 1 over 5 square foot 1 over 3 square foot
1 answer:
To find the area of the parallelogram you will need to find the distance of the base which is part of the length of the rectangle. To find this distance you will subtract 1/2 and 1/6. The height of the parallelogram is the same as the width of the rectangle.
Please see the attached picture for the work and a visual representation.
The answer is 1/9 ft.² .
Please see the attached picture for the work and a visual representation.
The answer is 1/9 ft.² .
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Answer:
The equation of the parabola is , whose real vertex is
, not
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
,
,
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is: ,
,
. Hence, the equation of the parabola is
. Lastly, we must check if
belongs to the function. If we know that
, then the value of
is:
does not belong to the function, the real point is
.
Answer:
Option A
Step-by-step explanation:
Given : A tank had 6 liters of water and tank has small hole. The tank was empty after 4 minutes.
If y represents the number of liters of water in the tank.
x represents the time in minutes.
From the following graph option A is correct (also attached below)
Because when we notice in all the graph y represent the number of liters of water in tank and we have 6 liters of water ⇒y=6
And water is leaked out at a constant rate which means a decreasing slope.
The tank was empty after 4 minutes and time denote by x-axis therefore, x=4 and tank is empty means y=0
Therefore, the graph in which from y=6 with a decreasing slope at x=4 , y=0
Option A is the only one representing the situation.
Answer:
All real numbers greater than or equal to -1 and less than or equal to 2
Step-by-step explanation:
Let
A_1 ------> the area of rectangle
A_2 ----> the area of triangle
we know that
<em>Find out the area of rectangle</em>
<em>Find out the area of triangle</em>
substitute
Simplify
<em>First case (positive value)</em>
<em>Second case (negative value)</em>
Multiply by -1 both sides
therefore
The solution for x is the interval -----> [-1,2]
All real numbers greater than or equal to -1 and less than or equal to 2