(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
Examples:
2+11<15, so no
3+7<11, so no
4+8<15, so no
but 5+12>13 so yes, it can be constructed.
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Equation 5x + 3x - 6 = 42
Process
Step 1. Add 6 units in both sides
5x + 3x - 6 + 6 = 42 + 6
Step 2. Simplify
5x + 3x = 48
Step 3. Simplify like terms
8x = 48
Step 4. Divide by 8 both sides
8x/8 = 48/8
Step 5. Simplify
x = 6
Answer:
Step-by-step explanation:
The easiest way to fill out the graph is to find the slope.
The slope is y = 2x + 1.
Insert the x values of the graph for x in the equation to find y.
y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).
y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).
Then, for finding x, just insert y.
1 = 2x + 1. Subtract 1 from both sides to isolate x.
0 = 2x. x = 0. (0, 1).
y = 2(2) + 1 = 4 + 1 = 5. (2, 5)
3 = 2x + 1. Subtract 1 from both sides.
2 = 2x. x = 1. (1, 3).
The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.
Answer:
10 hours
Step-by-step explanation:
Two boats leave a port at the same time, one going north and the other traveling south.
<u>Southbound boat rate</u> = 40 mph
The northbound boat travels 18 mph faster than the southbound boat.
<u>Northbound boat rate</u> = 40 + 18 = 58 mph
Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)
Total distance = 980 miles
Total rate = 98 mph
Time 
hours
Answer:
2565000
Step-by-step explanation:
Easy, multiply them in a table.
