Answer:
y=1/2(x-1)
Step-by-step explanation:
If x=t^2 and t>0, then t=sqrt(x).
If t=sqrt(x) or x^(1/2) and y =1-1/t, then y=1-x^(-1/2).
The x-intercept is when y=0.
So we need to solve 0=1-x^(-1/2) to find point P.
Add x^(-1/2) on both sides: x^(-1/2)=1.
Raise both sides to -2 power: x=1
So point P is (1,0).
Let's find tangent line at point (1,0).
We will need the slope so let's differentiate.
y'=0+1/2x^(-3/2)
y'=1/(2x^(3/2))
The slope at x=1 is y'=1/(2[1]^(3/2))=1/(2×1)=1/2.
Recall point-slope form is y-y1=m(x-x1).
So our line we are looking for is y-0=1/2(x-1)
Let's simplify left hand side y=1/2(x-1)
Complete question :
Determine the probability that two pears are selected The probability is(Simplity your answer.)
d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected
Answer:
(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;
Step-by-step explanation:
Given :
Marking on card :
Question mark = Q
Pear = P
Moon = M
Selecting two cards with replacement :
Sample space :
_____ Q ____ P _____ M
Q ___QQ ___QP ___ QM
P ___QP ____PP ___ MP
M__ QM ____PM ___MM
(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;
1/9 ;
2/9
P(selecting 2 pears) = (PP)
P(p) = required outcome / Total possible outcomes = 1 / 9
Card containing a pear and then a question mark ;
(PQ or QP).
P(p) = 1/3 ; P(Q) = 1/3
P(PQ) + P(QP)
(1/3 * 1/3) + (/3 * 1/3)
1/9 + 1/9
(1 + 1) / 9
= 2/9
B) it will cost about the same to keep the movie or to return it; she should keep it.
5 days' worth of late fees would be 5(1.50) = 7.50.
The purchase price is 9.99; 9.99+7.50 = 17.49.
If she gets a cab, she pays around $10 round trip; 10 + 7.50 = 17.50
It is roughly the same price.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The tower is about 50.1 meters tall. The guidebook is correct.
__
The distance from the base of the tower to the angle vertex is ...
d1 = h/tan(46°)
d2 = d1 +50 = h/tan(27°)
Then the height of the tower is ...
h/tan(46°) +50 = h/tan(27°)
50 = h(cot(27°) - cot(46°))
h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692
h ≈ 50.1544 . . . meters
The tower is more than 50 meters high.
4x+5=13
Start by subtracting 5 from both sides:
4x+5-5=13-5
4x=8
Divide both sides by 4 to isolate x
x=2
