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max2010maxim [7]
3 years ago
8

Which is an equation in point-slope form for the given point and slope?

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

The answer to your question is the letter D. (step 2)

Step-by-step explanation:

Data

P (7, 4) slope = 6

Process

1.- Write the equation of the line

          y - y1 = m(x - x1)

   x1 = 7    y1 = 4

2.- Substitution

          y - 4 = 6(x - 7)

- Simplification

         y - 4 = 6x - 42

- Solve for y

         y = 6x - 42 + 4

         y = 6x - 38        This is the equation in the point-slope form

3.- According to the choices the answer is letter D.

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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
B. You used 13 gallons when you traveled 342 miles. How many miles did you<br> travel per gallon?
svet-max [94.6K]

Answer:

26.307 miles per gallon

Step-by-step explanation:

Divide the miles traveled by the number of gallons used.

In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.

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3 years ago
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Division: none
Addition : + 3 + 2 = 5 (combine positive numbers)
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