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Olegator [25]
3 years ago
13

Find the equation of the line that passes through the points (8,-5) and (4,3)

Mathematics
1 answer:
Vlada [557]3 years ago
6 0

y=a(x - h)^2+k

standard form: y= - 1/2x^2+4x-5

vertex form: y= -1/2(x - 4)^2+3

slope m and y-intercept b

slope: -2

y-intercept:(0,11)

so the answer is A. your welcome

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Factor the trinomial. You many need to check the discriminant to make sure it can be factored. SHOW YOUR WORK.
lbvjy [14]
Check the discriminant (always a good idea).

b^2 - 4ac 
b = -19
c = -15
a = 10

(-19)^2 - 4(10)(-15)
361 + 600
961

Yes it can be factored, but if you like, you could use the quadratic formula.
x = [- (-19) +/- sqrt(961)]/(2 * 10)
x = [19 +/- 31 ] / 20
x = (19 + 31/20
x = (50)/20
x = 5/2

x = [19 - 31] / 20
x = [- 12]/20
x = -3/5

Getting the factors is a little tricky.
(x - 5/2)(x + 3/5) = 0
The first factor is found by putting 
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1/2 (2x - 5) The 1/2 comes from multiplying by 2. 

The second factor is
1/5 (5x + 3)

So the equation will look like 
1/2(2x - 5)1/5(5x + 3) = 0 If you multiply by 2 you get
(2x - 5)1/5(5x + 3) = 0 and now multiply by 5 you get
(2x - 5) (5x + 3) 

Check
2x*5x - 25x + 6x - 15
10x^2 - 19x - 15 = 0

So everything works out. 
6 0
4 years ago
Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's
anyanavicka [17]

Answer:

24x^2

Step-by-step explanation:

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The only term that matches with these is 24x^2

5 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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Help me solve this i need serious help for test ​
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Answer:

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Step-by-step explanation:

i got the same question on my midterm exam.

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