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Inga [223]
3 years ago
11

What is the point slope form for a slope 6 and points -9,5

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

y - 5 = 6(x + 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 6 and (a, b) = (- 9, 5), thus

y - 5 = 6(x - (- 9)), that is

y - 5 = 6(x + 9)

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how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extr
yuradex [85]

Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

Computation:

Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

x = 4.5 L

Amount water added = 4.5 L

6 0
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The price of a cap is increased by 25%.By how much percent should its price be
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Answer: 20%

Step-by-step explanation:

7 0
3 years ago
The line defined by the equation 2y+3=-(2/3)(x-3) is tangent to the graph of g(x) at x=-3. What is the value of the limit as x a
Otrada [13]
<span>the limit as x approaches -3 of [g(x)-g(-3)]over(x+3) is the same as the derivative, or slope, of g(x) at the point x=-3, or g'(-3).
Since you are given the equation of the tangent line, the answer is just the slope of that line.
</span><span>2y+3=-(2/3)(x-3)
</span><span>6y+9=-2(x-3)
6y+9=-2x+6
6y=-2x-3
y= (-2x-3)/6
slope is -2/6 = </span>\boxed{ -\frac{1}{3} }
8 0
3 years ago
A farmer intends to plant pine trees 12 feet apart to form a windscreen for her crops. How many trees should she buy if the leng
Zolol [24]
You can fit 67 crops with a gap of 12 feet between each one.
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3 0
3 years ago
Read 2 more answers
Write the equation of the line through each point.
Leya [2.2K]

Answer:

The equation would be y = -1/3x + 4

Step-by-step explanation:

The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.

-3x + y = 1

y = 3x + 1

Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.

y - y1 = m(x - x1)

y - 2 = -1/3(x - 6)

y - 2 = -1/3x + 2

y = -1/3x + 4

5 0
3 years ago
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