Answer:
Therefore the Last option is correct
Step-by-step explanation:
Given:
Radius = r = 8 in
θ = 42°
To Find:
Area of Sector = ?
Solution:
We know that
Substituting the given values in the formula we get
Which is the required Answer.
Therefore the Last option is correct
Remember P.E.M.D.A.S
57 - 12 ÷ 4 · 3
= 57 - 3 · 3
= 57 - 9
= 48
#1)
Answer:
x=1 and y=12
Explanation:
y=5x+7
y=2x+10
This system should use substitution because the value of y is given in terms if x.
Substitution:
5x+7=2x+10
Solve:
3x=3
x=1
Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).
y=5x+7
y=5(1)+7
y=5+7
y=12
#2)
Answer:
x=-8 and y=2
Explanation:
y=2x+18
9y=-2x+2
This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.
Substitute:
9(2x+18)=-2x+2
Solve:
18x+162=-2x+2
20x=-160
x=-8
Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.
y=2x+18
Substitute:
y=2(-8)+18
Solve:
y=-16+18
y=2
Answer: 18x^3-9x^2+21x
Solution:
3x(6x^2-3x+7)=
Applying the distributive property in the multiplication to eliminate the parentheses:
(3x)(6x^2)+(3x)(-3x)+(3x)(7)=
(3*6)x^(1+2)+3*(-3)x^(1+1)+(3*7)x=
18x^3-9x^2+21x
Answer:
Step-by-step explanation:
The standard equation of a horizontal hyperbola with center (h,k) is
The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is 
.
The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is 
We need to use the relation 
to find 
.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)
We substitute these values into the standard equation of the hyperbola to obtain:
