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lesya692 [45]
3 years ago
10

#7 Write an equation in slope-intercept form to represent the line perpendicular to 3x + 2y = -7 passing through the point (1, 1

). O y=-3x + 4 O y = -3/2x + 1/3 y = 2/3x + 1/3 O y = 3x + 1​
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

y = 2/3 x + 1/3

Step-by-step explanation:

First find the slope of the given line by solving for "y":

3 x + 2 y = -7

2 y = - 3 x - 7

y = - 3/2 x - 7/2

which shows a slope of "- (3/2)"

Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"

We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:

y = 2/3  x + b

1 = 2/3 (1) + b

1 - 2/3 = b

b = 1/3

Then the equation of the line is:

y = 2/3 x + 1/3

which agrees with the third answer shown in the list of options.

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The histogram shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair proje
Fittoniya [83]

Answer:

C) Skewed Left

Step-by-step explanation:

From the above histogram given, it can observed visually that fewer students spent less hours in Mr. Quentin's class engaging in the online research for the project, while majority of the students spent more hours.

Thus, the histogram is skewed to the left, having a non symmetric shape with a lopsided mound which is bigger on the left of the histogram and smaller to the right of the histogram, as we have few students who spent less hours compared to the vast majority that spent more hours on the research.

5 0
3 years ago
Simplify (x - y + 1) - (x + y - 1)
andrey2020 [161]
First, distribute the minus sign across the second set. So you have:

x - y + 1 - x - y + 1

Now, we combine like terms:
x-x=0
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1+1=2

So we have -2y+2

Hope that helps.
5 0
4 years ago
What is the simplified version of<br> 6x-3y+8x-5y
WINSTONCH [101]

I believe it is 0.7

Step-by-step explanation:

or it is -0.7

8 0
3 years ago
Clearance rack is marked 35% off The regular price
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7 0
3 years ago
10. Which representation of a transformation on a coordinate grid does not preserve orientation? A. (x, y) → (4x, 4y) A. , , , ,
marta [7]

Answer:

D. (x, y) → (x, −y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.

The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.

The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.

The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.

The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.

5 0
3 years ago
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