<u>Answer:</u>
1) Option B
2) Option A
<u>Step-by-step explanation:</u>
Question 1:
We will find the slope of the line with the help of the given points (0, 7) and (5, 3)
.
Now, we will use any one of the given points and substitute its x and y coordinates in the standard form of equation of a line to find the y-intercept:
Therefore, the equation of the line 1 is
Question 2:
We are given the slope of this line and a point (-6, 0) which the line passes through.
Therefore, the equation of line 2 is .
The answer should be -6x+8
Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
This requires you to find the volume of the cone.
The volume of a cone is 1/3 the area of the base (a circle) times the height of the cone, or 1/3(3.14)r^2 * h.
The radius of the base is 7.5/2 or 3.75.
V = 1/3(3.14 * 3.75^2) * 3.5
V = 1/3(44.16) * 3.5
V = 1/3*154.56
V = 51.5 cm^3 of feed