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Likurg_2 [28]
3 years ago
7

If a line perpendicular to 2y=x+5 that passes through (2,1) using the slope- intercept form

Mathematics
1 answer:
arlik [135]3 years ago
4 0
Slope of  2y = x + 5:-
This is y = 0.5 x + 2.5  in slope intercept form so its slope = 0.5

Slope of the line perpendicular to it = -1 / 0.5 = -2

it passes through (2 , 1) so we have

y- 1 = -2(x - 2)
y = -2x + 4 + 1

The answer is y = -2x + 5

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Minchanka [31]
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6 0
2 years ago
Suppose a house has a floor area of 2,250 square feet. what is this area in units of square centimeters?
Natali [406]
1 feet = 30.5 centimetres

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3 0
3 years ago
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
Which will result in a perfect square trinomial?
nikitadnepr [17]

Answer:

The first one

Step-by-step explanation:

For the first choice, the binomial is multiplied by itself, so it will result in a perfect square trinomial.

4 0
3 years ago
Madeleine can type 3 pages in one hour. How many pages will it take her to type a 123- page report?
Maurinko [17]
It would be 41 because 123/3 =41
4 0
3 years ago
Read 2 more answers
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