Answer:
x=−27/26
and y=−192/13
Step-by-step explanation:
6x+y=−21;8x−3y=36
Step: Solve6x+y=−21for y:
6x+y=−21
6x+y+−6x=−21+−6x(Add -6x to both sides)
y=−6x−21
Step: Substitute−6x−21foryin8x−3y=36:
8x−3y=36
8x−3(−6x−21)=36
26x+63=36(Simplify both sides of the equation)
26x+63+−63=36+−63(Add -63 to both sides)
26x=−27
26x
26
=
−27
26
(Divide both sides by 26)
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
1) 10/6 = H/ 4 or 5/3 = H/2 or H = 10/3 = 3.3 m
<span>2) sin P = 3/5 (given) = sin (90-Q) = cos Q = 3/5</span>