Answer:
Step-by-step explanation:
One is given the following function:
One is asked to evaluate the function for , substitute in place of , and simplify to evaluate:
A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:
Where () is the evaluator term () represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,
Y=mx+b
m=slope
paralell lines have same slopt
perpendicular lines have slope that multipliy to -1
1. slope has to be 3/5 since paralell
y=3/5x+b
input point given
(5,-2)
x=5
y=-2
-2=3/5(5)+b
b=-7
y=3/5x-7
do the rest, I will give slope but you find b
2. paralell so slope is 4/5
y=4/5x+b
input the point to find b
3. paralell so slope is 2
y=2x+b
4. paralell so slope is -1
y=-x+b
5. paralle same slot
y=4/3x+b
6. perp, multiply-1
1/7 times x=-1
x=-7
y=-7x+b
7.x=0
that means the x axis
the perpendicular line is horizontal passes through the y coordinate
(2,4)
y=4 is the line equation
8. perpendicular slope mltiples to -1
4/3 times what=-1
-3/4
y=-3/4x+b
9.
perpendicular
y=-x+b
10. perpendicular multiples to -1
-1/2 times what=-1
what=2
y=2x+b
A rotation of 90 degrees changes (x,y) to (-y,x). If the original coordinates if point F is (0,3), after a rotation of 90 degrees it would be (-3,0).
Model is
4.2 feet=525 meters
scale is normally
1 unit of smalller=x units of bigger
4.2feet=525meters
divie both sidesby 4.24
1ft=125m
scal is 1ft:125m
model=4.2 feet tall
sheet=0.6 in
convert 4.2 ft ot inches
1 foot=12 inches
4.2 foot=4.2 times 12 inches=50.4
so we have
height=50.4 inches
how many 0.6 inches fit aka
0.6 times what=50.4
divide both sides by 0.6
what=84
84 sheets
A. 1ft:125m
B. 84 sheets
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²