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3 years ago

Representing algebraic relationships in tables and graph. Graph each equation y=x+3

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

Step-by-step explanation:

To graph this equation, start by plugging in different numbers for X and solve for Y.

For example: When x=0, y=0+3 ⇒ the coordinate is (0,3)

When x=1, y=1+3 ⇒ (1,4)

If you do this enough times, dotting each new coordinate then connecting them in a straight line, you will get your graph.

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What is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

Dmitry_Shevchenko [17]

RP is 3 units long and its transformation R'P' is 1 unit long

R'P' = 1/3 * RP

so the scale factor is 1/3

7 0

3 years ago

Read 2 more answers

Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6

pishuonlain [190]

Answer:

x = -2 y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

To find x:

If you do (3x - 2y = 10) - (5x + 2y = 6), you will get -2x=4. Divide both sides by -2, and get x = -2.

If you do (5x + 2y = 6) - (3x - 2y = 10), you will get 2x=-4.Divide both sides by 2, and get x = -2.

To find y:

Substitute -2 for x in either equation. It doesn't matter.

For 3(-2) - 2y = 10:

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

For 5x + 2y = 6:

5(-2) + 2y = 6 ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

6 0

3 years ago

Find the equation of the linear function represented by the table below in slope-

Naddik [55]

9514 1404 393

Answer:

y = -4x -2

Step-by-step explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (-10 -10)/(2 -(-3)) = -20/5 = -4

The y-intercept is given by ...

b = y1 -m(x1)

b = 10 -(-4)(-3) = 10 -12 = -2

Then the slope-intercept equation is ...

y = mx +b

y = -4x -2

5 0

2 years ago

I need help with this math problem please

Yanka [14]

Answer:

x=12

Step-by-step explanation:

90 = x + 42 + 3x

48 = x + 3x

48 = 4x

12 = x

7 0

3 years ago

Read 2 more answers

GCSE 995381

nikdorinn [45]

Answer:

$2.9 cm^2$

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = $\frac{1}{2}\times base \times height$

We know that,

$\sin \theta = \dfrac{P}{H}$

$\sin 30^\circ= \dfrac{P}{8}$

$P = \dfrac{8}{2}$

$P = 4\ cm$

And

$\cos \theta =\dfrac{B}{H}$

$\cos 30^\circ = \dfrac{B}{8}$

$B = \dfrac{8\times \sqrt{3}}{2}$

$B = 4\sqrt 3$

Area of sector = $\dfrac{\theta}{360^\circ}\times \pi r^2$

Area of sector = $\dfrac{30^\circ}{360^\circ}\times \pi \times 8^2$

= 16.75 cm^2

Area of triangle = $\dfrac{1}{2} \times 4\sqrt 3 \times 4$

= 13.85 cm^2

Area of shaded region = 16.75 - 13.85

= $2.9 cm^2$

7 0

3 years ago