Answer:
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Step-by-step explanation:
$54 / 6 = $9
Two consecutive numbers can be written as:
x , x+1
So their sum being 141
x + x +1 = 141
Combine and solve for c
2x = 140
x = 70
So two numbers are:
70,71
Answer:
41 units
Step-by-step explanation:
Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.
c² = a² + b²
c² = 9² + 40²
c² = 81 + 1600
c² = 1681
c = 41
Answer:
x-intercept: (3,0)
y-intercept: (0,-4)
Step-by-step explanation:
To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).
Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.
x-intercept
4x-3y=12 [plug in y=0]
4x-3(0)=12 [multiply]
4x-0=12 [add both sides by 0]
4x=12 [divide both sides by 4]
x=3
---------------------------------------------------------------------------------------------------------
y-intercept
4x-3y=12 [plug in x=0]
4(0)-3y=12 [multiply]
0-3y=12 [subtract both sides by 0]
-3y=12 [divide both sides by -3]
y=-4
Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).
Answer:
The 1st table represents a function
Step-by-step explanation: