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Paraphin [41]
3 years ago
5

What is the equation of the line that passes through the points (0, 6) and (-3, 0) and is parallel to y = 2x + 5

Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0

answer:

y=2x+6

solution:

Alright, since the line is PARALLEL, the slope will remain the same. let call the # we will add to that b (like the 5 in y=2x+5).

so the formula will be y=2x+b

to find be, we will plug in one of the ordered pairs

6=2(0)+b

6=0+b

b=6

So, our equation is y=2x+6

to check:

(-3,0)

0=2(-3)+6

0=-6+6

0=0

nataly862011 [7]3 years ago
7 0

Answer:

y = 2x + 6

Step-by-step explanation:

The equation for this is y=mx+b, m being for slope and b being the y-intercept.

The first and easiest way to figure out this first is by finding the slope. Now because you have the information that it needs to be parallel, it's very fast and simple. Parallel means that it has the same slope and the lines will never cross each other. So, since the slope for this is 2, the new line you will be making will also have a slope of 2.

EXTRA NOTE- if it were perpendicular, you'd want to do the opposite reciprocal. Instead of being 2, it'd be -1/2, but luckily we're just dealing with parallel.

Now we need to find what the y-intercept is. Since math basically has a formula for everything, you will be using y-y(1)= m(x-x(1)). Now that looks slightly confusing, but basically you will just plug your y value into the y(1) and x coordinate into x(1) to simplify into slope intercept form (don't forget your slope!). It's always easier to use positive numbers for this, so I'll be using the coordinates (0, 6) and plug it in.

REMEMBER- coordinates are (x, y). Don't get it mixed up!

1. Write out your equation: y - 6 = 2 ( x - 0 )

2. Distribute: y - 6 = 2x - 0

3. Add 6 to the other side to get into your slope intercept form:  y = 2x + 6

And that's how you get your line. Hope this helped and made at least some sense. :)

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Answer:

35 students

Step-by-step explanation:

So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.

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Hope that helps and have a great day!

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3 years ago
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Answer:

-5x-10

Step-by-step explanation:

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vagabundo [1.1K]
Let x = the length of a side of the square (m).
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A = x²
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Solve the Law of Cosine: c^2 = a^2+ b^2 - 2abcosC for cos C.
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Answer:

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Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

Divide base length b as AD = x -b   and    CD = x

By Pythagoras Theorem

In Triangle BDC             And     In Triangle BDA

a² = h² + x²     (  1  )                        c² = h² + (x-b)²

                                                      c² = h² + x² + b² - 2xb   ...(. 2)

From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

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Again in ΔBDC

cos C = \frac{BD}{BC}

Or, cos C = \frac{x}{a}

∴ x= a cos C

Now put ht value of x in eq 3

I.e, c² = a² + b² - 2ab cos C

Hence , cos C = \frac{a^{2}+ b^{2}-c^{2}}{2ab}      Proved   Answer

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Mila [183]

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... -6 < 0.4x < -4 . . . . . . subtract 5

... -15 < x < -10 . . . . . . . multiply by 2.5


Any value of x that is between -15 and -10 will be one where the tangent line has a slope between -1 and 1.


_____

The graph shows tangent lines with slopes of -1 and +1. You can see that the slope of the graph of f(x) is between those values when x is between the tangent points.

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