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kkurt [141]
3 years ago
13

Write the standard form of the equation of the line passing through (0, 1) and parallel to x = 4.

Mathematics
2 answers:
Olenka [21]3 years ago
8 0
I think a is the right answer
astra-53 [7]3 years ago
3 0

Answer:

Option C

x=0

Step-by-step explanation:

Given is a line x=4

We are to find out a parallel line passing through (0,1)

We know that x=4 is a vertical line parallel to y axis.

Hence any other line parallel to this would be of the form x=a for a suitable a.

Since the required line passes through (0,1)

the point should satisfy x=a

i.e. x=0 is the answer.

This is a vertical line i.e. y axis.

Option C) x=0

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3 years ago
Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12 19
gladu [14]

Answer:

First and second box had 80 and 75 lb flour originally.

Step-by-step explanation:

Let the two boxes contained x lb and y lb of the flour respectively.

Both the boxes contained 155 lb of flour in total.

So the first equation will be,

x + y = 155 --------(1)

If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb

and added to the second box then flour in second box = (y + 20) lb

After the mixing of flour statement says that "the first box will contain \frac{12}{19} of the flour now in the second box."

For this statement equation will be

(x-20)=\frac{12}{19}(y+20)

19(x - 20) = 12(y + 20)

19x - 12y = 380 + 240

19x - 12y = 620 ------(2)

Equation (1) × 12 + equation (2)

12(x + y) + (19x - 12y) = 155×12 + 620

31x = 1860 + 620

31x = 2480

x = \frac{2480}{31}

x = 80 lb

from equation (1)

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y = 155 - 80

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Therefore, first and second boxes had 80 lb and 75 lb of flour originally.

3 0
3 years ago
The vertices of a figure are given. Rotate the fig
kirill [66]

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

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C (4, - 3 ) → C' (3, 4 )

D (2, - 4 ) → D' (4, 2 )

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