Answer:
Side = 12 cm, side = 5 cm, side = 8 cm
Step-by-step explanation:
In order to form a triangle with non-zero area, the sum of the shortest two sides must exceed the longest side.
This will be the case for {5, 8, 12}, but not for any of the others.
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The side lengths {5, 8, 13} will form <em>a triangle with zero area</em>. This is acceptable according to one version of the triangle inequality (a+b≥c) but not according to the other version (a+b>c). Since you are apparently expected to find one "right answer", we assume the answer you want is the one shown above.
X+1=y and 3y-7=2x are your two equations.
Substitute x+1 in for y
3(x+1)-7=2x
3x+3-7=2x
x-4=0
x=4
Plug in 4 for x in either equation to solve for y
x+1=y
4+1=y
5=y
x=4 and y=5
Hope I could help!
You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.
y = mx + b
m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5
Use point (0, 3000).
3000 = -687.5(0) + b
b = 3000
The equation is
y = -687.5x + 3000
Since we are using points (t, v) instead of (x, y), we have:
v = -687.5t + 3000
Answer: d. v = -687.50 t + 3,000
Answer:
(-1, 0)
Step-by-step explanation:
y = 2x + 2
y = x + 1
Substitute one of the equations for the value of y.
x + 1 = 2x + 2
-x + 1 = 2
-x = 1
x = -1
Now, substitute this value for x in one of the equations.
y = 2(-1) + 2
y = -2 + 2
y = 0
So, the solution is (-1, 0)
Answer:
The number of trucks required is 17.
Step-by-step explanation:
28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?
For the transportation of 28.5 kg, one truck is required.
Total mass = 484.5 kg
The number of trucks required is
n = total mass/ mass of one
![n=\frac{484.5}{28.5}\\\\n = 17](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B484.5%7D%7B28.5%7D%5C%5C%5C%5Cn%20%3D%2017)