The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Answer:
5/3
Step-by-step explanation:
Since the given figure is a rectangle with congruent diagonals and thus equal lengths, you can use the expressions for the diagonal lengths, set them equal, and solve the equation for x.
Y= -2x²-3x+2, (form y = ax² +b .x + c
The parabola opens downward & hence it's Vertex is a MAXIMUM.
We know that the axis of symmetry is -b/2a ==>3/(-4) ==>
x= - 3/4 (axis of symmetry. At x=-3/4 , y = 25/8 = 3.125
Hence the axis of symmetry is x= - 3/4 & the vertex is at (-3/4, 25/8)
Answer:
1. x = 2
2. x = 5
3. x = 8
4. x = 28
5. x = 13
6. x = 11
7. x = 0
8. x = 72
9. x = 6
10. x = 38
Step-by-step explanation:
hope that helps!
1. subtract 6 on both sides
2. add 3 on both sides
3. divide both sides by 2
4. multiply both sides by 2
5. add 8 on both sides
6. subtract 9 on both sides
7. add 5 on both sides
8. multiply both sides by 6
9. divide both sides by 4
10. add 18 on both sides
Answer:
(2, 12)
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k =3 represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator
(2, 12)