Pythagorean Theorem
a² + b² = c²
c = 13
a = 4
(Missing side) = b
4² + b² = 13²
16 + b² = 169
16 - 16
169 - 16 = 153
Square Root of 153 = 12.369
b = 12.369
The missing side is 12.369 (rounded to 12 as a whole number)
Answer:
(5,-6) is a solution
Step-by-step explanation:
Given


Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
becomes



becomes



Because both solutions are true, then (5,-6) is a solution
Answer:
The value of x would be
or 
Step-by-step explanation:
Given,
x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,
Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,
⇒ 0.1x + 0.02y = 0.05(x+y),
0.1x - 0.05x = 0.05y - 0.02y
0.05x = 0.03y

Now, resultant mixture is z ton,
i.e. 

From equation (1),




Answer:
Step-by-step explanation:
The coordinate plane is also called a Cartesian Plane. Function. A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y.
Does this help?
The scenario is wrong. according to the three other tools, the hot air balloon would be increasing in altitude, not descending.