Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
The graph that represents viable values for y = 2x is Option A.
<h3>What is a Straight Line Function ?</h3>
A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.
The given equation is y = 2x
here m = 2
x is the number of pounds of rice scooped and purchased from a bulk bin
y is the total cost of the rice
as both the data cannot be negative , Option C , D is out of choice
The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0
ends at point (2.5, 5) giving a slope of m =2 ,
Therefore , The graph that represents viable values for y = 2x is Option A.
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Answer:
x=1
Step-by-step explanation:
3/2+1/2x=2x
Multiply each side by 2 to get rid of the fractions
2(3/2+1/2x)=2x*2
3+x = 4x
Subtract x from each side
3+x-x = 4x-x
3 = 3x
Divide each side by 3
3/3 = 3x/3
1 =x
7d = 63
Product = multiply
7(d) is equal to 63
so 7d = 63
Answer: 8.3 ft
Step-by-step explanation:
Here, The volume of this perfectly spherical balloon is approximately 2361.7 cubic feet.
Since, the volume of a sphere, 
Where r is the radius of the sphere.
Here V= 2361.7 cubic feet
Therefore, 
⇒ 
⇒
≈8.3 feet
Thus, the radius of the sphere = 8.3 feet
