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Ugo [173]
3 years ago
12

The solutions to the inequality y s 2x - 4 are shaded on the

Mathematics
1 answer:
Maslowich3 years ago
3 0
Y= 2(3) -4
Y= 2

(3,2) is the answer

Hope this helps!
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What is the equation of the line that passes through the point (-4,-2) and has a<br> slope of -1/2?
Soloha48 [4]

Answer:

y =  -  \frac{1}{2} x

8 0
3 years ago
Rearrange the following and ad .005, 2,002.181, 795.41, 14.0,184
xz_007 [3.2K]

Answer:

1 2 3 4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Prove that sinA-sin3A+sin5A-sin7A/cosA-cos3A-cos5A+cos7A= cot2A
MAVERICK [17]
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.

We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)

N = -(sin7A - sinA) + sin5A - sin3A
    = -2cos4A*sin3A + 2cos4A*sinA
    = 2cos4A(sinA - sin3A)
    = 2cos4A*2cos(2A)sin(-A)
    = -4cos4A*cos2A*sinA

D = cos7A + cosA - (cos5A + cos3A)
   = 2cos4A*cos3A - 2cos4A*cosA
   = 2cos4A(cos3A - cosA)
   = 2cos4A*(-2)sin2A*sinA
   = -4cos4A*sin2A*sinA

Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
       = cos2A/sin2A
      = cot2A

This verifies the identity.
4 0
3 years ago
Suzanne has a student loan balance of $25,904 with an average interest rate of 6.8 percent. Use the student loan repayment calcu
Alex_Xolod [135]

Since the problem is requiring us to use the loan repayment calculator and here is what the calculator gave:


Loan Balance: $25,506.00


Adjusted Loan Balance: $25,506.00


Loan Interest Rate: 6.80%


Loan Fees: 0.00%


Loan Term: 10 years


Minimum Payment: $0.00


Monthly Loan Payment: $293.52


Number of Payments: 120 months


Cumulative Payments: $35,223.07


Total Interest Paid: $9,717.07


It is projected that you will need an annual salary of a minimum $35,222.40 to be capable to have enough money to repay this loan. This approximation assumes that 10% of your gross monthly income will be keen to repaying your student loans. This resembles to a debt-to-income ratio of 0.7. If you use 15% of your gross monthly income to repay the loan, you will need an annual salary of only $23,481.60, but you may experience some financial difficulty. This corresponds to a debt-to-income ratio of 1.1.


8 0
3 years ago
The width of a rectangle is 70% of its length. What is the area of the rectangle?
g100num [7]

Answer:

the area is 130

Step-by-step explanation:

4 0
3 years ago
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