Answer: C
Step-by-step explanation:
<u>A=1/2h(b1+b2)</u>
= 1/2(h)(30+16)
<em>>how to find h<</em>
<em>>30-16= 14/2 = 7<</em>
<em>>25²-7² = 625-49 = 576<</em>
<em>>√576 = 24 .. h=24<</em>
= 1/2(24)(30+16)
= 12(46)
A = 552 cm²
<u>P= b+b+l+l</u>
= 30+16+25+25
P = 96 cm
Y = x + 14 (the larger bus has 14 more seats)
2x + y = 65 ( 2 x two times the seats , as it makes 2 trips the smaller van so the seats will be full twice maximum)
2x + x + 14 = 65 (sub the value of y = x+14 in the second equation)
3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)
Answer:
x = -1
, y = 5
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = 10 | (equation 1)
x = y - 6 | (equation 2)
Express the system in standard form:
{5 x + 3 y = 10 | (equation 1)
x - y = -6 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 3 y = 10 | (equation 1)
0 x - (8 y)/5 = -8 | (equation 2)
Multiply equation 2 by -5/8:
{5 x + 3 y = 10 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -1
, y = 5