Answer:
x = 14; y = 8
Step-by-step explanation:
A perpendicular intersection means an intersection between 2 lines, forming angles of 90°. Then:
7x - 8 = 90°
11y + 2 = 90°
7x - 8 = 90
7x = 90 + 8
7x = 98
x = 98/7
x = 14
11y + 2 = 90
11y = 90 - 2
11y = 88
y = 88/11
y = 8
I hope I've helped you.
E. 5x^2 - 10= 0; 5(x^2 - 2)= 0; x^2= 2; x = √2
f. x^2 - x=0; x(x -1)= 0; x = 0, x= 1
g. 4x^2 + 4x= 0 ; 4x( x + 1) = 0; x = 0, x = -1
h. -x^2 + x = 0; -x(x - 1)= 0; x = 0, x = 1
Answer:
27.1
Step-by-step explanation:
Given:
mean=25
standard deviation=4
z0.70=0.525
z*sd = x-mean= 2.1
the lowest score for the top 30%: x=27.1
Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour
