Answer:
Both are 55
Step-by-step explanation:
To solve this problem, set the equations equal to each other, solve for n, then plug in the values
Solve for n:
1. 2n+15=3n-5
2. Add 5 to both sides
3. Now you have 2n+20=3n
4. Subtract 2n from both sides
5. You are left with n=20
Next, plug it in:
1. Replace all n's with 20
2. 2(20)+15=55
3. 3(20)-5=55
There you go! Hope this helps!
Answer:x=-3
Step-by-step explanation:
Factor and set each factor equal to zero.
Answer:
1) 
2) 
3) 
4) 
Step-by-step explanation:
The quadratic formula is given by:
We can use this formula in order to solve the following equations:
1. x^2 − 2x = 12 → a = 1, b = −2, c = −12
For this case if we apply the quadratic formula we got:
2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2
For this case if we apply the quadratic formula we got:
3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7
For this case if we apply the quadratic formula we got:
4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9
For this case if we apply the quadratic formula we got:
What do the instructions say?
1. For y, I think that refers to the first picture attached. As you can see, each side of the triangle have the same short line drawn across it. It means that they are equal in length. That means the triangle is equilateral, which means each interior angle is 60°. Thus,
60 = 5y + 10
5y = 60 - 10
5y = 50
y = 50/5 =<em> 10</em>
2. As you can see in the second picture attached, Angles B and C are equal. That also means that their respective opposite sides are equal. So,
8x - 4 = 5x + 11
8x - 5x = 11 + 4
3x = 15
x = 15/3 = 5
Consequently,
BC = 4x - 2
BC = 4(5) - 2 = <em>18</em>
