Answer:
A. After two minutes, a bear can manage to have 120 heartbeats.
B. The slope of blue line is 60/1.
C. The slope of red line is 12/1
D. The equation for blue line is y = 60/1x
E. The equation for red line is y = 12/1x
4. CPCTC
5. SAS Congruency Postulate
6. Also SAS Congruency Postulate
Answer:
Pat would be 32 and Patrick will be 9 before the 5 years
Step-by-step explanation:
pat is older by 23
in 5 years the dad will be 28 years older than his son and 28 x 1/2 = 14
so the son will be 14 in 5 years so he would be 9 now making the dad 23 years older the dad would be 32
Answer:
1. the square root of 89 or 9.4
2. the square root of 197 or 14.0
Answer:
The system of inequalities is x ≥ 3y and x + y ≤ 10
The graph attached down
Step-by-step explanation:
* <em>Lets explain how to write the inequalities for this problem</em>
- Assume that x represents the quantity of regular coffee and
y represents the quantity of the decaffeinated coffee
- For a community breakfast there should be at least three times as
much regular coffee as decaffeinated coffee
- At least means greater than or equal
∵ x represents regular coffee
∵ y represents decaffeinated coffee
∵ x is at least three times as much as y
∴ x ≥ y ⇒ (1)
- A total of ten gallons is sufficient for the breakfast
- That means the quantities x and y shouldn't be more than 10
- Not more than means smaller than or equal
∵ The total quantity is 10 gallons
∴ x + y ≤ 10 ⇒ (2)
∴ The system of inequalities are
x ≥ 3y and x + y ≤ 10
* Lets graph (1) and (2)
- The red part for x ≥ 3y
- The blue part for x + y ≤ 10