Answer:
108
Step-by-step explanation:
x:90 = 6;:5
x/90=6/5
x=108
Answer:
B) 2
Step-by-step explanation:
The first differences are increasing by 1 from term to term:
8-12 = -4
5-8 = -3
3-5 = -2
2-3 = -1 . . . . . if the next term is 2, as we believe it should be.
_____
<em>Comment on number sequences</em>
Any finite length sequence of n numbers can be modeled exactly by an n-1 degree polynomial. That is, a 4th-degree polynomial can be made to describe the sequence regardless of the next term you may choose.
If you choose the next term to be 2 as we suggest, then the sequence can be modeled by a 2nd-degree polynomial ...
(n² -11n +34)/2 . . . . for n = 1, 2, 3, ...
Answer:
one point
Step-by-step explanation:
A system of two linear equations will have one point in the solution set if the slopes of the lines are different.
__
When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.
- ratio for first equation: 1/1 = 1
- ratio for second equation: 1/-1 = -1
These lines have <em>different slopes</em>, so there is one solution to the system of equations.
_____
<em>Additional comment</em>
When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.
y = mx +b . . . . . slope = m
When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.
ax +by = c . . . . . slope = -a/b
As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.
__
If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.
Answer:
97
Step-by-step explanation:
Add the sides of the triangle,
44 + 39 = 83
There needs to be 180 degrees in a triangle,
180 - 83 = 97
The remaining side is 97 degrees which is side h
