Answer:
B. (-3, 5, 6)
Step-by-step explanation:
The system of equations is:
x + 3y - z = 6 ... (i)
4x - 2y + 2z = -10 ... (ii)
6x + z = -12 ... (iii)
The value of z in (iii) is;
z = -12 - 6x
Replacing z in (i) and (ii) gives:
x + 3y - (-12 - 6x) = 6 ... (i)
4x - 2y + 2(-12 - 6x) = -10 ... (ii)
Simplifying gives;
7x + 3y = -6 ... (i)
-8x - 2y = 14 ... (ii)
Multiplying (i) by 2 and (ii) by 3 gives;
14x + 6y = -12 ... (i)
-24x - 6y = 42 ... (ii)
Adding (i) and (ii) gives;
-10x = 30
x = -3
Replacing x = -3 in (i) gives;
7(-3) + 3y = -6
3y = 21 - 6
y = = 5
Replacing x = -3 in (iii) gives;
6(-3) + z = -12
z = -12 + 18 = 6
<u>Answer:</u>
<h2>12 ft</h2>
<u>Explanation:</u>
we will use pythagoras theorem
a² + b² = c²
according to the given data we'll assume that
a = 5
c = 13
5²+b²=13²
25+b²=169
b²=169-25
b²=144
b=√144
b=12
this is 90 60 30 formula for example
90 meet 2x
30 meet x
and
60 meet x√3
so 90 meet 5
30 meet 5/2=2.5
and 60 meet 2.5√3
so the answer is 2.5
Answer:
39/16
Step-by-step explanation: