Hello,
Answer C
x^3+3x²+5x+3=x^3+2x²+3x + x²+2x+3=x(x²+2x+3)+1(x²+2x+3)=(x²+2x+3)(x+1)
6h+5(h-5)= 52
Mutiply the bracket by 5
(5)(h)(5)(-5)= 5h-25
6h+5h-25= 52
move -25 to the other side
sign changes from -25 to +25
6h+5h-25+25= 52+25
6h+5h= 77
11h= 77
divide by 11
11h/11= 77/11
Cross out 11 and 11, divide by 11 and becomes 1*1*h= h
h= 7
Answer: h= 7
Step-by-step explanation:
Where Z is set of integer.
Answer:
Distance: 
units
Step-by-step explanation:
The distance formula is 
where:
is the distance between points 
and 
- are the coordinates of the first point
- are the coordinates of the second point
We are given that:
To determine the value of our distance, , we plug in our given information into the formula and solve for
Therefore, the distance between 
and 
is units.
See the attached graph for a visual.
Answer:
y = 1/3x + 1
Step-by-step explanation:
- find the slope by using y2-y1/x2-x1
4-3/9-6
1/3. slope = 1/3 = m
2. plug the values into the equation to find y-int. You can use whichever point is given to you
I'll use (6,3)
y = mx + b
3 = 1/3(6)+b
1/3(6)=2
3 = 2 + b
3. subtract 2 from both sides and you get b
b = 1
So, the equation of the line would be
y = 1/3x + 1
