Answer:
Step-by-step explanation:
If ΔABC ~ ΔPQR
or
Y = 1/2x - 3. Slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So the perpendicular line will have a slope of -2.
y = mx + b
slope(m) = -2
(1,-1)...x = 1 and y = -1
now we sub and find b, the y int
-1 = -2(1) + b
-1 = -2 + b
-1 + 2 = b
1 = b
so ur perpendicular equation is : y = -2x + 1
Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
<h3>
Compound interest</h3>
Compound interest is given by:

where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period
Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
Find out more on Compound interest at: brainly.com/question/24924853
full timers work 5 hours a day whereas Part timers work 3 hours a day!
<u>Step-by-step explanation:</u>
Here we have , The difference in hours between full times and the part timers to work three hours a day is 2 working hours . We need to find that how many hours per day to full timers work . Let's find out:
Let full timers work x hours , Part time workers work 3 hours a day , According to question, difference in hours between full times and the part timers to work three hours a day is 2 working hours i.e.
⇒ 
Adding 3 to make x term alone :
⇒ 
⇒ 
Therefore, full timers work 5 hours a day whereas Part timers work 3 hours a day!
Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25