This is a fairly easy question. Just use the Pythagorean Theorem:
Leg squared + Leg squared = Hypotenuse squared.
In symbols: L² + L² = H²
So if you want to find out if a triangle is a right triangle, just plug in the numbers:
12² + 35² = 37²?
144 + 1225 = 1369?
1369 = 1369, so yes, the lengths of 12 cm, 35 cm, and 37 cm could be the lengths of a right triangle.
Hope I answered your question!
We are basically given most of what we need to calculate the height of the cannonball.
We use the formula h = –16t+ vt + s to find the height requested.
Let v = 160
Let s = 10
Let t = time in seconds
Was the value of t included? We need to know t to plug into our formula.
You know everything else except for t. Go back to your notes to search for t. Afterward, plug the value of t and everything else given above into the formula and calculate to find h.
Answer:
$150 each month
Step-by-step explanation:
divide 300 in half because they contribute 50¢ per dollar
5/7 = x/210
using cross products
5*210 =7x
divide by 7
5*210/7 =x
150=x
there will be 150 notebooks sold
Hello!
You can put in y for the first equation
2x - 3(x - 1) = -1
Distribute the -3
2x - 3x + 3 = -1
Combine like terms
-x + 3 = -1
Subtract 3 from both sides
-x = -4
Since x is negative we can multiply both sides by -1 to make x positive
x = 4
We can put x into the second equation to get y
y = 4 - 1
y = 3
The answers are x = 4 and y = 3
Hope this helps!