Answer:
Assuming you want the answer in slope-intercept form, it’s <u>y = -5x + 11</u>
Step-by-step explanation:
So we have to first use point-slope form, y - y1 = m (x - x1)
If we plug the numbers in we get...
y + 4 = -5 (x - 3) (take out parenthesis)
y + 4 = -5x + 15 (now subtract 4 from 15)
<u>y = -5x + 11</u>
I think this is right
Step-by-step explanation:
At Bob's binders, the unit price = $4.20 ÷ 3
= $1.40
At Pam's Paper Place the unit price = $5.20 ÷ 4 = $1.30
the better buy is at Pam's Paper place
The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β
α lies in quadrant II
so
cos α is negative
sin α is positive
β lies in quadrant I
so
cos β is positive
sin β is positive
step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17
step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29 (remember cos α is negative)
step 3
find sin(α − β)
sin α = 21/29 cos α=-20/29
sin β=8/17 cos β=15/17
sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493
the answer is
sin(α − β) = 475/493
Answer:
7:12
Step-by-step explanation:
there is 5 turtles and all 5 turtles plus 7 frogs = 12
(5+7+12)
7:12
Given, the amount Megan has in short term savings = $500.
The amount in retirement savings account = $5000.
The amount in credit card debt = $500.
The amount in student loan debt = $6500.
So total assets of Megan = Sum of short term savings and retirement savings.
Total asset = $500 + $5000 = $
= $
Total liabilities of Megan = sum of credit card debt and student loan debt.
Total liability = $ 500 + $6500 = $
= $
Now to find Megan's net worth we have to subtract total liability from total asset.
So Megan's net worth = $5500-$7000 = $
= $
So we have got the required answer.
Net worth of Megan = -$1500.
