Answer:
Step-by-step explanation:
1)
2(x – 4) + 32
Multiply it out.
2 * x - 2 * 4 + 32
2x - 8 + 32
2x + 24
2)
9x + 4(x + 2) – 5
Multiply it out
9x + 4 * x + 4 * 2 - 5
9x + 4x + 8 - 5
13x + 3
Answer:

Step-by-step explanation:
The nth term of the sequence is

To get the first term, substitute n=1,

To get the second term, substitute n=2,

To get the third term, substitute n=3,

The sum of the first three terms is

We could also use the formula
to get the same result.
Answer:
10.63cm
Step-by-step explanation:
The formula for calculating the distance between two coordinate is expressed as;
D = √(x2-x1)²+(y2-y1)²
Given the coordinates (3, -1) and (-5, 6)
D = √(-5-3)²+(6-(-1))²
D = √(-5-3)²+(6+1)²
D = √(-8)²+(7)²
D = √64+49
D = √113
D = 10.63cm
Hence the shortest distance between P and Q is 10.63cm
5/ y=-2/3x +3. 6: y= 7/1-4. 7: y=2/5x 8: y= -3/4x +1