Answer:
Step-by-step explanation:
Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...
5x + 3
5(5) + 3
25 + 3
28
Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.
∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
The distance between 2 points P(a, b) and Q(c,d) is given by the formula:
,
Apply the formula for the points M(6, 16) and Z(-1, 14):
which rounded to the nearest tenth is 7.3 (units)
Answer: 7.3 units
