I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169
with I:
12x=5y
x=(5/12)y
-> substitute x in II:
((5/12)y+12)^2+(y-5)^2=169
(25/144)y^2+10y+144+y^2-10y+25=169
(25/144)y^2+y^2+10y-10y+144+25=169
(25/144)y^2+y^2+144+25=169
(25/144)y^2+y^2+169=169
(25/144)y^2+y^2=0
y^2=0
y=0
insert into I:
12x=0
x=0
-> only intersection is at (0,0) = option B
Answer in fraction form = 9/8
Answer in decimal form = 1.125
note: the improper fraction 9/8 converts to the mixed number 1 & 1/8
To get this answer, we divide both sides by 8 to isolate n. The expression 8n really means "8 times n". We divide to undo the multiplication.
The exponential function is y = 650(1.0475)ˣ
<h3>
Exponential equation</h3>
A Exponential equation is in the form:
y = abˣ
where y, x are variables, b is the multiplier and a is the initial value.
Let y represent the bacteria population after x hours.
a = 650 bacteria
b = 100% + 4.75% = 1.0475
The exponential function is y = 650(1.0475)ˣ
After 33 hours:
y = 650(1.0475)³³ = 3006
Find out more on Exponential equation at: brainly.com/question/2456547
The standard deviation been hiked to the nearest tenth is 17.1
Let's solve for p.
x3xp=x5
Step 1: Divide both sides by x^2.
px2x2=x5x2
p=x3
Answer:
p=x3
