-3x+4y=-18
2x-y=7
the answer qould be C.(2,-3)
-3(2)+4(-3)=-18
-6+(-12)=-18
-18=-18
2(2)-(-3)=7
4+3=7
7=7
C.
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
Answer:
mean = 12.9
median = 9.5
Step-by-step explanation:
mean = sum of all observations / total no. of observations
= 7+9+10+6+8+12+5+11+48+13 / 10
=129 / 10
= 12.9
median = middlemost no. after arranging in ascending order
= 5,6,7,8,9,10,11,13,48
=9 and 10
=9+10 / 2
= 19 / 2
= 9.5
Step-by-step explanation:
By sum of angles on a straight line = 180°,
we have Angle A + Angle B = 180°,
Angle C + Angle D = 180°, and
Angle E + Angle F = 180°.
Hence Angles A + B + C + D + E + F = (180°) + (180°) + (180°) = 540°.
