7 + 28n + 4
28n + (7 + 4)
28n + 11
Answer:
<em>1+√3</em>
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * AC * BD
We need to get AC
AC = AD+DC
Get base AD using SOH CAH TOA
tan 45 = 4/AD
AD = 4/tan45
AD = 4/1
AD = 4
Get DC
tan 30 = 4/DC
DC = 4/tan 30
DC = 4/(1/√3)
DC = 4√3
AC = 4 + 4√3
AC = 4(1+√3)
Get the Area of the triangle
<em>Area = 1/2 * 4 * 4(1+√3)</em>
<em>Area of the triangle = 1+√3</em>
Answer:
x = -14
Step-by-step explanation:
Step 1: Write equation
4(x + 2) = 3(x - 2)
Step 2: Solve for <em>x</em>
- Distribute: 4x + 8 = 3x - 6
- Subtract 3x on both sides: x + 8 = -6
- Subtract 8 on both sides: x = -14
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
4(-14 + 2) = 3(-14 - 2)
4(-12) = 3(-16)
-48 = -48