Step 1
plug in 4 for X
3(4)-5y=2
12-5y=2
Step 2
-12 (both sides)
-5y=-10
Step 3
divide both by -5
y=2
the answer is
the coordinates are (4,2)
Answer:
D) 5
Step-by-step explanation:
Sec(x/2) = 1/cos(x/2)
sec(x/2)=cos(x/2) ----> cos^2(x/2)=1 ---> cos(x/2) = -1 and cos(x/2) = 1
Cos(x/2)=1 --- > x/2 = 0, only. x = 0;
cos(x/2)=-1 ----> x/2 = pi -> x = 2pi. But the statement says [0,2pi), so 2pi can not be chosen.
Only x = 0.
In fact, your equation is equivalent to sec(x)=cos(x), for x in [ 0, pi), so yes, only x = 0 .
Answer:
128 m^3
Step-by-step explanation:
The volume of the rectangular prism base is (8 m)(8 m)(10 m), or 640 m^3.
The triangular 'cap' has a base area of 64 m^2 and a height of 6 m, and thus a volume of (1/3)(64 m^2)(6 m) = 128 m^3
Step-by-step explanation:
It is given that,
The length of section 1 is 0.75 m and the length of section 2 is 15/100 m. The total length of the section is equal to the sum of section 1 and section 2. So, we will add them as follows :

So, the length of the section is 0.9 m or 9/10 m