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Mnenie [13.5K]
3 years ago
15

How often are parallel line coplanar

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

when they don't intercept

Step-by-step explanation:

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Someone help me please!!!!!!!!!!!
alexdok [17]
You have 3 unknowns: a, b, and c.  That means you have to have 3 equations to solve for the values of them.  3 unknowns needs 3 different equations.  We will use the first 3 points in the table and thank God that one of them has an x value of 0.  We will replace the x and y in the general form of the quadratic with the x and y from the table, 3 times, to find each variable. Watch how it works. We will start with (0, 15). a(0)^2+b(0)+c=15.  That gives us right away that c = 15.  We will do the same thing again with the second value in the table along with the fact that c = 15 to get an equation in a and b.  a(2)^2+b(2)+15=15.5 which simplifies to 4a+2b=.5.  Now do the same for the third set of coordinates from the table.  a(4)^2+b(4)+15=17 which simplifies down to 16a+4b=2.  Solve those simultaneously.  Multiply the first bolded equation by -4 and then add that one to the second bolded one.  -4(4a+2b=.5) gives us -16a-8b=-2.  Add that to the second bolded equation and the a terms cancel out giving us -4b=0 so b = 0.  Subbing that back in we solve for a:  16a+4(0)=2 and 16a = 2.  Therefore, a = 1/8.  The quadratic then is \frac{1}{8}x^2+15=y
6 0
3 years ago
You invest $25/month at a rate of 3.25% APR compounded monthly for 30 years. What is the total interest earned and final balance
VikaD [51]

The total interest earned is 40.75 and the final balance is 65.75

<u>Solution:</u>

Given, principle amount P = 25

Interest rate r = 3.25\% = \frac{3.25}{100} = 0.0325

Times compounded per year n = 12

Time in years t = 30

Amount \ A=P\left(1+\frac{r}{n}\right)^{n t}

On substituting the values we get

A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75

Interest I = A - P [since, A = P+I]

\Rightarrow 65.75 - 25= 40.75

7 0
3 years ago
Angela wants to buy a car worth ₱950,000. He currently has ₱200,000 and plans to borrow the remaining ₱650,000 through the bank.
o-na [289]

Answer:

Bank A

Step-by-step explanation:

Loan amount = 650000

Bank A:

Simple interest after 3 years :

Loan amount * rate * time

650000 * 0.1 * 3 = 195,000

Bank B:

Compound interest formula :

A = P(1 + r/n)^nt

n = number of compounding times per period

A = 650000( 1 + 0.09/ 12)^12*3

A = 650000(1.0075)^36

A = 650000 * 1.3086453

A = 850619.49

Interest on payment = 850619.49 - 650,000 = 200619.49

Interest on Bank A product is lesser than Bank B

5 0
3 years ago
I NEED HELP ASAP!!
Alexeev081 [22]

Answer:

They are parallel and congruent.

6 0
3 years ago
Help 3 through 5 plz
Basile [38]

3. would be obtuse ( degree higher than 90 degrees)

4. would be acute ( degree lower than 90 degrees)

5. would be right ( degree exactly 90 degrees)

:)

4 0
4 years ago
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