Answer:
- 2 / 7
Step-by-step explanation:
Let,
x1 = 7
x2 = 14
y1 = 2
y2 = 0
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 0 - 2 ) / ( 14 - 7 )
= - 2 / 7
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Given:
Area of the circle : 36 ft²
Area of the square : 3 6ft²
Circle:
A = π r²
36 ft² = 3.14 * r²
36 ft² / 3.14 = r²
11.46 = r²
√11.46 = r
3.39 = r diameter = 2 * r = 2 * 3.39 = 6.78 ft
Square:
A = a²
36 ft² = a²
√36 ft² = a
6 ft = a
6.78 ft - 6 ft = 0.78 ft ⇒ the table is sticking out from the glass
Diagonal of a square:
d = √ 6² + 6²
d = √ 36 + 36
d = √ 72
d = 8.49 ft
8.49 ft - 6.78 ft = 1.71 ft ⇒ the glass is sticking out from the table
The system of equations 6x+4y=14 and 9x+6y=c are linear equations
The value of c that makes the system have infinitely many solutions is 21
<h3>How to determine the value of c?</h3>
The system of equations are given as:
6x+4y=14
9x+6y=c
Divide through the second equation by 3
3x + 2y = c/3
Multiply through by 2
6x + 4y = 2c/3
Subtract the first equation from the above equation
6x - 6x + 4y - 4y = 2c/3 - 14
Evaluate the differences
2c/3 - 14 = 0
Add 14 to both sides
2c/3 = 14
Multiply by 3/2
c = 21
Hence, the value of c that makes the system have infinitely many solutions is 21
Read more about system of equations at:
brainly.com/question/14323743
