How did coach trax teach tonka to high jump
2 answers:
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X^2 - 10x + 36 = 0;
We use the quadratic formula: x = ( - b + or - i
)/ (2a);
We have a = 1; b = -10; c = 36;
Then, x = ( 10 + or -i
)/2 = 5 + or - 
)/2 ;
We use the quadratic formula: x = ( - b + or - i
We have a = 1; b = -10; c = 36;
Then, x = ( 10 + or -i
From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Answer:
Step-by-step explanation:
For each right-angled triangle:
Because
we have an equation
multiplying both sides by x, we get
dividing both sides by 0.4 and
using calculator, we divide 12 by 0.4
and finally x=30