Answer:
532.8
Step-by-step explanation:
Answer:
A= 5
B= 3
Step-by-step explanation:
A= 5 +5+5+5= 20
B= 3 (length) x 3 (width)
Answer:
-4 ± 2√6
Step-by-step explanation:
Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.
Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.
Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:
-b ± √(b² - 4ac)
x = -------------------------
2a
which in this case comes out to:
-8 ± √96 -8 ± 4√6
x = ------------------ = ------------------- = -4 ± 2√6
2 2
x = 5 and y = 3. That is the answer
<h3>
Answer: Perpendicular</h3>
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Work Shown:
Solve the first equation for y
3x+7y = 15
7y = -3x+15
y = (-3x+15)/7
y = (-3/7)x + 15/7
The slope here is -3/7
-------
Solve the second equation for y
7x-3y = 6
-3y = -7x+6
y = (-7x+6)/(-3)
y = (7/3)x - 2
The slope here is 7/3
-------
The slopes -3/7 and 7/3 are not equal, so we don't have parallel lines.
The lines however are perpendicular because the slopes multiply to -1
(-3/7)(7/3) = (-3*7)/(7*3) = -21/21 = -1
