Answer:
-1/4 is the slope and the y intercept is -4
Step-by-step explanation:
Solve for y
x +4y = -16
Subtract x
4y = -x-16
Divide by 4
4y/4 = -x/4 -16/4
y = -1/4 x -4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-1/4 is the slope and the y intercept is -4
Start by putting whole numbers together and fractions together;
5-2 + 2/7-5/7
3+(-3/7)
=3-3/7
=21/7-3/7
=18/7
=2
Answer:
x = 96.23 if x is the area of the base
x =21 if x is the side length of the base
Step-by-step explanation:
The volume of a square pyramid is given by
V=1/3 a^ 2 h
We know the volume is 441 and the area of the base is a^2 which is x
and the height is 1/7x
Substituting these values in
441 = 1/3 (x) 1/7x
441 =1/21 x^2
Multiply each side by 21
441*21 = 21*1/21 x^2
9261 = x^2
Take the square root of each side
sqrt(9261) = sqrt(x^2)
x = 96.23
I am thinking you mean x is the side length on the base
We know the volume is 441 and the area of the base is a^2 which is x^2
and the height is 1/7x
Substituting these values in
441 = 1/3 (x^2) 1/7x
441 =1/21 x^3
Multiply each side by 21
441*21 = 21*1/21 x^3
9261 = x^3
Take the cube root of each side
(9261) ^ (1/3) = (x^3)^(1/3)
21 =x
Answer:
5
Step-by-step explanation:
it can be found in two ways
f(n)-f(n-1) is common difference of the sequence.
knowing f(n) = f(n-1) + 5
f(n)-f(n-1)=5
so 5 is difference of the sequence.
other method is
f(1)=4
f(2)=?
f(n)=f(n-1)+5 n=2
f(2)=f(2-1)+5
f(2)=f(1)+5
f(2)=4+5=9
f(2)-f(1)=9-4=5
so 5 is difference of the sequence.