9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
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The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
Answer:
$105 (Make sure to read the explanation)
Step-by-step explanation:
120.45 + 95.75 + 105.32 + 140.25 + 89.68 + 101.32 = 652.77
652.77 ÷ 6 = 108.795
I think the mean as her budget is a tiny weny too high so I think $105 is a good enough budget. Feel free to change it.
<h3>
Answer: b = 17</h3>
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Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
Answer:
9/2
2+2+2+2=8
9-8=1
2 can go into 9 four whole times
4 1/2
Step-by-step explanation:
Hi friend
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Your answer
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(2x² + 4x - 2) × (3x + 6)
= 2x²(3x + 6) + 4x(3x + 6) - 2(3x + 6). [Using distributive property of multiplication]
= 6x³ + 12x² + 12x² + 24x - 6x - 12
= 6x³ + 24x² + 18x - 12
HOPE IT HELPS