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bixtya [17]
3 years ago
5

Write the equation of the line with an x-intercept at (0,2) and perpendicular to 3x+4y=12.

Mathematics
2 answers:
Deffense [45]3 years ago
8 0
The answer is y=4/3+2
juin [17]3 years ago
6 0

First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).

Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.

The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.

So the equation is: y = 4/3 x + 2

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Answer:

B

Step-by-step explanation:

1/2x - 2 > 0

collect like terms

1/2x > 0 + 2

1/2x > 2

Divide both sides by 1/2

x > 2 divided by 1/2

inverse of 1/2 is 2/1

x > 2 times 2/1

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8 0
2 years ago
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Which of the following graphs represents a function?
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If an input has multiple outputs, it is not a function.    

so the last graph represents a function (parabola going down)

4 0
3 years ago
.Calculate the time in which ₦1,500 will amount to ₦9,000 at 20% per annum.
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Answer:

30 yrs

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3 0
3 years ago
The sum of Veronika's and Kate's weight is 118 pounds. Veronika weighs 26 pounds more than Kate. How much do they weigh individu
Ray Of Light [21]

Answer:

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

Step-by-step explanation:

Let Veronika's weight = x

Let Kate's weight = y

The sum of Veronika's and Kate's weight is 118 pounds.

x + y = 118

Veronika weighs 26 pounds more than Kate.

x = y + 26

How much do they weigh individually?

We substitute y + 26 for x in Equation 1

x + y = 118

y + 26 + y = 118

26 + 2y = 118

2y = 118 - 26

2y = 92

y = 92/2

y = 46 pounds

x = y + 26

x = 46 + 26

x = 92 pounds

Hence,

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

8 0
2 years ago
Write the following as an inequality.
alina1380 [7]

Answer:

-5\leq w\leq 5

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2 years ago
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