Answer:
x=54/409
Step-by-step explanation:
Answer:
A. 2x to the power of 3 plus x to the power of 2 plus x plus 1
Step-by-step explanation:
Answer:
N(h) = 2h + 6
Step-by-step explanation:
A model of the number of people that Denis can invite to his party:
N(x) = x/25.............(1)
Where x = amount of money saved
Amount of money saved can be modeled by the equation:
M(h) = 50h + 150...........(2)
In the above model, h = number of overtime hours
M(h) = amount of money saved = x
Therefore equation (1) can be re - written as:
N(x) = M(h)/25.................................(3)
Substituting equation (2) into equation (3)
Find an explicit expression that models the number of people that Denis can invite to his party if he worked h overtime hours this week can be expressed as:
N(h) = 2h + 6
Answer:
Slope-intercept
y = 3/4(x) - 7
Point slope
y -5= 3/4(x - 16)
Step-by-step explanation:
In slope-intercept
We have the general slope intercept as;
y = mx + b
where m is the slope and b is the y-intercept
in this case, m = 3/4 and b = -7
So we have;
y = 3/4(x) - 7
In point-slope
we have the general form as;
y-y1 = m(x-x1)
So what we have is as follows;
y -5= 3/4(x - 16)
Where we have (x1,y1) = (16,5)
Answer:
Yes, they are congruent.
Step-by-step explanation:
Congruent segments are segments whose lengths are equal.
You plotting of the points is correct.
Now look at the length of each segment.
Points R and S are both on the same horizontal line since their y-coordinates are both equal, 7. The distance from 3 to 6 is 3, so the length of segment RS is 3.
Points T and U are both on the same vertical line since their x-coordinates are both equal, 5. The distance from -3 to 0 is 3, so the length of segment TU is 3.
The lengths of segments RS and TU are both 3, which makes them equal. That makes the segments congruent.
Answer: Yes, they are congruent.
