B: Apply the distributive property to get 4x - 12=9
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
Answer:
224
Step-by-step explanation:
<u>Base:</u>
A = Bh
A = 8(8) = 64
<u>Sides:</u>
A = 1/2 Bh
A = 1/2 8(10)
A = 40
<u>Then you do 40(4) because there are 4 sides:</u>
40 (4) = 160
<u>Then you add up the base and the sides:</u>
160 + 64 = 224
(I think this is the right answer)
Let <em>a</em> and <em>b</em> be the two numbers. Then
<em>a</em> + <em>b</em> = -4
<em>a b</em> = -2
Solve the second equation for <em>b</em> :
<em>b</em> = -2/<em>a</em>
Substitute this into the first equation:
<em>a</em> - 2/<em>a</em> = -4
Multiply both sides by <em>a</em> :
<em>a</em>² - 2 = -4<em>a</em>
Move 4<em>a</em> to the left side:
<em>a</em>² + 4<em>a</em> - 2 = 0
Use the quadratic formula to solve for <em>a</em> :
<em>a</em> = (-4 ± √(4² - 4(-2))) / 2
<em>a</em> = -2 ± √6
If <em>a</em> = -2 + √6, then
-2 + √6 + <em>b</em> = -4
<em>b</em> = -2 - √6
In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.
Answer:
5.1 centimeters (5.08 not rounded)
Step-by-step explanation:
1 inch=2.54 centimeters
2.54*2=5.08