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3 years ago

Is (1,-4) a solution to the equation y=-2x? Yes or no? Please help /:

2 answers:

7 0

A solution means that it will make the statement true. Let substitute this in:

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

-4 obviously isn't equal to -2, so it is not a solution to the equation.

Hope this helps!
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Elden [556K]3 years ago

4 0

No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)

-4 = -4, otherwise the equation won't be satisfied.

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The figure is the net for a rectangular prism.

oksano4ka [1.4K]

Answer:

$SA=544\ cm^2$

Step-by-step explanation:

we know that

The surface area of a rectangular prism is equal to the area of its six rectangular faces

using the net

The surface area is equal to

$SA=2[(16)(6)]+2[(16)(8)]+2[(8)(6)]$

$SA=192+256+96$

$SA=544\ cm^2$

3 0

3 years ago

PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

N76 [4]

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

FOR (1, 2)

Given

P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

FOR (2, 4)

Given

P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)

6 0

3 years ago

The size of a TV is measured by its diagonal. You want to buy a TV that has a 32

ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

$a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{777.51}\\b=27.88$

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

#LearnwithBrainly

7 0

3 years ago

Frank created a circle graph to show how he spent his time one day. He spent 8 hours at school, 8 hours sleeping, and the rest o

Valentin [98]

If there are 24 hours a day, he hangs out 8 hours a day since 24-8-8=16

All activities are eqyal to 8/24, which simplifies to 1/3.

1/3 as a percent is 33.33...%

He should include 33.33..% three times in his circle graph.

3 0

3 years ago

Read 2 more answers

LOOK AT THE PICTURE BELOW PLEASE!

Brrunno [24]

Answer:

Step-by-step explanation:

Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).

4 0

2 years ago