Answer:
9
Step-by-step explanation:
Answer with explanation:
The equation of line is, y= -x +3
→x+y-3=0---------(1)
⇒Equation of line Parallel to Line , ax +by +c=0 is given by, ax + by +K=0.
Equation of Line Parallel to Line 1 is
x+y+k=0
The Line passes through , (-5,6).
→ -5+6+k=0
→ k+1=0
→k= -1
So, equation of Line Parallel to line 1 is
x+y-1=0
⇒Equation of line Perpendicular to Line , ax +by +c=0 is given by, bx - a y +K=0.
Equation of Line Perpendicular to Line 1 is
x-y+k=0
The Line passes through , (-5,6).
→ -5-6+k=0
→ k-11=0
→k= 11
So, equation of Line Parallel to line 1 is
x-y+11=0
Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
Answer:
Add 6 each time.
Step-by-step explanation:
Figure 1 has 4 tiles.
To go from figure 1 (4 tiles) to figure 2 (10 tiles), you added 6 tiles.
To go from figure 2 (10 tiles) to figure 3 (16 tiles), you added 6 tiles.
∴ the rule is to add 6 tiles each time.
