Y=mx+b
where m is the slope and b is the y intercept
You formed a right-angled triangle. I drew this out at first, but you can double check it as 579² + 772² = 965², which is the rule for a right-angled triangle. I hope this helps!
Answer:
16, see below :)
Step-by-step explanation:
Hello!
We can use the pythagorean theorem because one of the angles is 90 degrees. According to the theorem, a^2 + b^2 = c^2
a is 12, b is unknown, and c is 20
Now we use the theorem
12^2 + b^2 = 20^2
144 + b^2 = 400
b^2 = 256
b = sqrt(256)
b = 16
Answer:
D) 35x³ - 16x² + 44x - 48
Step-by-step explanation:
(5x2 + 2x + 8)(7x – 6) = (5x2 + 2x + 8)* 7x + (5x2 + 2x + 8)*(– 6)
= (5x2*7x + 2x*7x + 8*7x) + (5x2*(-6) + 2x*(-6) + 8*(-6) )
=35x³ + 14x² + 56x - 30x² - 12x - 48
= 35x³ - 16x² + 44x - 48
Answer:
6.13
Step-by-step explanation:
Using Sine Law we know that

Using your figure let's assign sides and angles:
A=? B = 60° C = 70°
a = 5 b = ? c = x
If we put that into our formula:

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?
Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°
∠A + ∠B + ∠C= 180°
∠A + 60° + 70° = 180°
∠A + 130° = 180°
∠A = 180° - 130°
∠A = 50°
Now we can use this to solve for x.

So the closest answer would be 6.13