Step-by-step explanation:
5x-2y=11
-2x+5y=17
eqn1×2=10x-4y=22
eqn2×5= -10x+25y=85
21y=107
y=107÷21
5x-2(107/21)=11
5x-(214/21)=11
105x-214=231
105x= 445
x=445/105=
( -3, 6 ) and ( 2, 6 )
Step-by-step explanation:
So your X axis is ( -3, 2).
And your Y axis is ( 6, 6 ).
So from -3 to 2, you going up +5, and from 6 to 6, you not moving anywhere, which means 0.
So the slope is 5/0
Answer:
m=d*v
Step-by-step explanation:
Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
