For this case we have the following function transformation:
Horizontal translations:
Suppose that h> 0:
To graph y = f (x + h), move the graph of h units to the left.
Answer:
option B
8+4^2-3(7)+3^2
8+16-3(7)+9
8+16-21+9
24-21+9
3+9
=12
Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Answer:
k-n+1
Step-by-step explanation:
How many numbers are written from n to k
Lets look at a smaller example with real number
Lets go from 3 to 8
3 4 5 6 7 8
There are 6 numbers
We take 8 -3 = 5, but we include the number 3 so we add it back in +1
5+1 =6
Lets look at a larger example
2 to 11
2,3,4,5,6,7,8,9,10,11
There are 10 numbers
11-2 =9 but we have to add back in the first number
9+1 =10
Now we are going from n to k
k-n = k-n, but we have to add back in the first number
k-n+1
Answer:
6
Step-by-step explanation:
g(x)= 5x + 16
g(x)= 5(-2) + 16
g(x)= -10 + 16
g(x)= 6