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Brrunno [24]
3 years ago
15

What is the slope of a line that is perpendicular to a line whose equation 3y=-4x+2

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1. That is to say:

m_ {1} * m_ {2} = - 1

We have the following equation:

3y = -4x + 2\\y = - \frac {4} {3} x + \frac {2} {3}

Thus, the equation is of the pending-intersection formy = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to:

m_ {1} = - \frac {4} {3}

Thus, we find m_ {2}:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- \frac {4} {3}}\\m_ {2} = \frac {3} {4}

Thus, the slope of the line perpendicular to the given line is:

m_ {2} = \frac {3} {4}

ANswer:

m_ {2} = \frac {3} {4}

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Point A means the smallest value (and = 4)

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A large bag of marbles contains red (R) and blue (B) marbles. Marbles are pulled one at a time, recorded, and placed back in the
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The answer will be A.
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Solve the quadratic equation by factoring: 15x^2+4x-4=0
joja [24]
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
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x = -2/3

And

5x-2 = 0
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x = 2/5

So the answer is x = -2/3 and x = 2/5






7 0
3 years ago
Calculate the distance between the points Q = (2, -1) and K = (6,-9) in the coordinate plane.
White raven [17]

Answer:

Sqrt 80 = 8.94

Step-by-step explanation:

d = sqrt[(x-x)^2 + (y-y)^2]

d = sqrt [(6-2)^2 + (-9 - - 1)^2]

d = sqrt [(4)^2 + (-8)^2]

d = sqrt (16 + 64)

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3 0
3 years ago
A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o
Alik [6]

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

5 0
3 years ago
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