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den301095 [7]
3 years ago
7

Write an equation for the line that passes through the points (0,-6) and (-3,0)

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

Then the desired equation is y = -2x - 6.

Step-by-step explanation:

As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6.  Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.

Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:

y = mx + b becomes 0 = -2(-3) + b, so that b = -6.

Then the desired equation is y = -2x - 6.

Check:  Does (0, -6) satisfy y = -2x - 6?  Is -6 = -2(0) - 6 true?  YES

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The difference between two whole numbers is 14. Their product is 1,800. What are the two numbers?
Soloha48 [4]
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

(14+y)y=1800
14y+y²=1800
y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50     ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36    ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
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4 years ago
You have two disks. The bigger one has 24 inch radius and its is rigidly attached to a peg (it doesn’t turn or move). The smalle
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Perimeter of bigger disc = 2π*24 inch
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