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3 years ago

The equation of line L, is y = 5x + 1

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Rearrange 2y - 10x + 3 = 0 into this form

Add 10x to both sides

2y = 10x ( subtract 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - $\frac{3}{2}$ ← in slope- intercept form

with slope m = 5

Since both lines have a slope of 5 then they are parallel.

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F(x) = 5x2 − 70x + 258. Complete the square.

astraxan [27]

5(x^2 - 14x + 258/5)
= 5((x-7)^2 -49+258/5)
= 5((x-7)^2 + 13/5)
= 5(x-7)^2 + 13
I belive this is how it should be done

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3 years ago

How many ways are there to assign 8 visiting different studetns to one Stony Brook summer course, chossing from Calculus I, Line

Dmitry_Shevchenko [17]

Answer:

56 ways

Step-by-step explanation:

Number of ways is given by n combination r (n!/(n - r)!r!)

n = total number of students = 8, r = the number of summer courses = 3

Number of ways = 8 combination 3 = 8!/(8-3)!3! = 8!/5!3! = 8×7×6×5!/5!×6 = 8×7 = 56 ways

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3 years ago

1. Match the polynomial identity to the correct answer.

Katen [24]

Answer:

$a: (a-b)(a+b);b: (a-b)(a^{2}+ab+b^{2}); c: (a^{2} +2ab+b^{2}); d: (a+b)(a^{2}- ab+b^{2})$

Step-by-step explanation:

Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:

For a: $(a-b)(a+b)=a^{2} +ab-ab-b^{2} =a^{2}-b^2$

For b: $(a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3$

For c calculate the square of a sum: $(a+b)^2=a^2+ab+ab+b^2$

(add like terms) c: $a^2+2ab+b^2$

For d: $(a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3$ $=a^3+b^3$

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3 years ago

Car A went 60km 3/4 of an hour. car b went 80km in 4/5 of an hour. witch car is faster

Lostsunrise [7]

Answer:

80km in 4/5

Step-by-step explanation:

60km × 3 = 15×3=45

80km × 4 = 16×4 =64

64 is the answer

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2 years ago

FREE POINTS! How many packs of DVDs can you buy with $128 if one pack costs $16

Mars2501 [29]

Answer:

Step-by-step explanation: 128 / 16 = 8. So 128 dollars by 16 dollars is 8 dollars

6 0

3 years ago

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