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ahrayia [7]
3 years ago
15

Create the equation of a line that perpendicular to 2y=14+2/3x and passes through the point (-2,8).

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

Answer:

y = - 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y = 14 + \frac{2}{3} x into this form

Divide all terms by 2

y = 7 + \frac{1}{3} x ← in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3, hence

y = - 3x + c ← is the partial equation of the perpendicular line

To find c substitute (- 2, 8) into the partial equation

8 = 6 + c ⇒ c = 8 - 6 = 2

y = - 3x + 2 ← equation of perpendicular line

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Order the measurements from largest to smallest.<br> 4.9L , 4090ml , 1.4km , 4901m
Burka [1]

Answer:

4090 ml - 4.9L

1.4km - 4901m

Step-by-step explanation:

A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.

A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m

However, ml and l is a measurement of volume while m and km is a measurement of distance.

6 0
3 years ago
What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ
Hoochie [10]

Answer:

Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

                Reflect over x-axis → (4, -1) becomes (4, 1)

                Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

                  Rotate 180° → (-4, -1) becomes (4, 1)

                  Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

                  Reflect over the y-axis → (-4, -1) becomes (4, -1)

                  Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

                 Reflect over the x-axis → (4, 1) becomes (4, -1)

                 Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

6 0
3 years ago
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Dafna11 [192]
The product of these numbers are 0.100
since 0.100 is same as 0.1
so there is only one decimal place
COMMON SENSE
4 0
3 years ago
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BlackZzzverrR [31]
The answer is a  thank u
7 0
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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