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3 years ago

PLZ HELP

Mathematics

1 answer:

maria [59]3 years ago

5 0

Answer:

Step-by-step explanation:

Following changes will be there when the figure is transformed by the given rules.

1). Rule for transformation has been given as,

(x, y) → (x, -y)

Reflection across x axis.

2). (x, y) → (-x, -y)

Rotation of 180° about the origin.

3). (x, y) → (x - 4, y)

Shifted 4 units left horizontally.

4). (x, y) → (x, y + 3)

Shifted vertically up by 3 units

5). (x, y) → (x - 1, y + 4)

Shifted 1 units left horizontally and 4 units up vertically.

6). (x, y) → (4x, 4y)

Dilated by 4 units.

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

x y

2 1

3 5

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and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

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As the slope-intercept form of the line is

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$8+b-8=1-8$

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So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

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$y=4x-7$

Therefore, the equation for the linear function will be:

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2 years ago

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1 year ago

Can someone help me the 2nd problem I don’t understand it

Galina-37 [17]

Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

time=distance/speed

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How much time would have it taken bus B to reach that same distance?

$T_B=\frac{390}{45}$

$T_B=8.\overline{6}$

So it would have taken bus B $8.\overline{6}$ hours to cover a distance of 390 miles.

So the time difference is $8.\overline{6}-6=2.\overline{6}$ hours.

It will take $2.\overline{6}$ more hours than bus A for bus B to complete a distance of 390 miles.

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