Answer:
(a)
Step-by-step explanation:
Note the expansion of (x - 5y)² is
(x - 5y)² = x² - 10xy + 25y² , that is
(x - 5y)² = x² + 25y² - 10xy ← substitute given values
(- 16)² = 416 - 10xy
256 = 416 - 10xy ( subtract 416 from both sides )
- 160 = - 10xy ( divide both sides by - 10 )
xy = 16 → (a)
Answer:
X=3/2 or 1.732
Step-by-step explanation:
X^2-4+1=0
Combine like terms
-4 + 1 = -3
X^2-3=0
add 3 to both sides
X^2= 3
X= 3/2
Answer:
5 1/10 ÷ .15 is 34 so she will be able to perform 34 experiments
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
Answer:
Adult is $12 and child is $7
Step-by-step explanation:
Adult=x and Children=y
first day: 4x+1y=55
second: 3x+2y=50
Get one letter the same but opposite
(4x+1y=55) times that by -2
-8x+-2y=110
3x+2y=50
minus all of that u get
-5x=60
divide 60 by 5
x=12
fill in X
3(12)+2y=50
36+2y=50
-36 -36
2y=14
/2 /2
y=7
