Answer:
see below
Step-by-step explanation:
10c + 5 < 45
Subtract 5 from each side
10c + 5-5 < 45-5
10c < 40
Divide by 10 on each side
10c/10 < 40/10
c < 4
Open circle at 4 and the line going to the left
Answer:
Length = 15
Width = 6
Area = 90
Step-by-step explanation:
Area of the rectangle =
Lets factorise the polynomial
We know that Area = Length × Width
Let the length be (x + 3) & width be (x - 6)
Its given in the question that x = 12. So putting the value of x gives ,
Length =
Width =
Area = Length × Width = 15 × 6 = 90
Answer:36π
Step-by-step explanation:
Diameter=12
Radius=diameter/2
Radius=12/2
Radius=6
Area of circle =π x Radius x Radius
Area of circle=π x 6 x 6
Area of circle=36π
Answer:
x=28
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem. Put the side of the small triangle over the same side of the larger triangle.
x 42
---------- = ----------
x+10 42+15
Simplify
x 42
---------- = ----------
x+10 57
Using cross products
57x = 42 (x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x +420
15x = 420
Divide each side by 15
15x/15 = 420/15
x=28
g(x)=3x^2-2(x+7)/2x+5
g(-1)=3(-1)^2-2(-1)+7/2(-1)+5
Do the numerator first
(3)(-1)(-1)-2(-1)+7
3+2+7
=12
2(-1)+5
-2+5
=3
Numerator= 12 , Denominator=3
Numerator/ Denominator = 12/3=4
Answer: g(-1)=4