Well, in order to prove the Pythagorean theorem, every triangle you are using has to have one right angle (90-degree angle), and the side opposite to it will be called the hypothenuse. The remaining two triangles will be acute angles (<90 degrees), and the sides opposite to them are called sides/catheti.
Answer:
x=0,y=-3
Step-by-step explanation:
3x-5y=15 - equation(1)
x-4y=12 => x=12+4y -equation (2)
Replace equation (2) in equation (1)
3(12+4y)-5y=15
36+12y-5y=15
7y=15-36
7y= -21
y = -21/7
y=-3
If y=-3,then replace in equation (1) ; 3x -5(-3)=15
3x+15=15
3x=0
x=0
Answer:
15 seconds
Step-by-step explanation:
Because the split id 25% and 75%, we could create another average pretending that there are four kids, one who ran in 12 seconds, and three who ran in 16.
Equation for averages: (a₁ + a₂ + a₃ + ... 
)/ n
Plug in:<em> (12 + 16 + 16 + 16)/4</em>
Add: 60/4
Divide: 15 seconds
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72
Answer:
Step-by-step explanation:
It’s exactly like saying -7 + 3.. -7 is the bigger number so you take away from that the answer is -4
