Answer:
Step-by-step explanation:
we have the equation of distance between two points :
d=
first point (21,5)
second point (28,-1)
so we have
d=
d=
d=
d=
so we have
d=
Answer:
(x + 2)^2 + (y - 3)^2 = 9
Step-by-step explanation:
The standard formula for the equation of a circle would be:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
From the picture, the center is given to be (-2, 3) and by counting the squares, we can say the radius is 3. We can plugs these values into the equation.
(x + 2)^2 + (y - 3)^2 = 9
X= 8
Y= -7
If you use elimination:
–3y–4x=–11
3y–5x=–61
Add the two equations and get
–9x=–72
Divide by –9 on both sides
X=8
Substitute 8 in for x
–3y–4(8)=–11
Simplify
–3y–32=–11
Add 32 on both sides
–3y=21
Divide by –3 on both sides
Y=–7
Answer:
(3x^2+1)*(7x-2)
Step-by-step explanation:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((21 • (x3)) - (2•3x2)) + 7x) - 2
STEP
2
:
Equation at the end of step
2
:
(((3•7x3) - (2•3x2)) + 7x) - 2
STEP
3
:
Checking for a perfect cube
3.1 21x3-6x2+7x-2 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 21x3-6x2+7x-2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 7x-2
Group 2: 21x3-6x2
Pull out from each group separately :
Group 1: (7x-2) • (1)
Group 2: (7x-2) • (3x2)
-------------------
Add up the two groups :
(7x-2) • (3x2+1)
2 because it's 200,000 so two hundreds of people