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lukranit [14]
3 years ago
9

How do you graph 2x-y=3

Mathematics
2 answers:
Aneli [31]3 years ago
6 0
Basically you have to put the equation into slope intercept form which first you move 2x over making it a negative so you have
-y= -2x+3. Then you can’t have a negative y so divide it by -1 on both sides making the final equation y=2x-3. Since slope intercept form is y=mx+b you know the slope (m) is 2 and the y-intercept (b) is -3. Then you just make the coordinate (0,-3) for the y-intercept and from there create a line that has a slope of 2 in which it goes through the point you’ve made. Hope this helps.
Alexxandr [17]3 years ago
3 0
To make this equation easier to graph, convert it to slope-intercept form.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

To get 2x - y = 3 into slope-intercept form, isolate y.

2x - y = 3
-y = 3 - 2x
y = -3 + 2x
y = 2x - 3

As you can see, this graph has a slope of 2 and a y-intercept of -3.

The first step to graphing is plotting the y-intercept, which is (0, -3).

From there, figure out the slope. It's positive 2, so the graph will slant upwards. That means you can count 2 units up and 1 unit over and plot that point. Keep counting 2 units up and 1 over to begin forming the graph.

Finally, connect the coordinates, and you've graphed 2x - y = 3.

I've attached the graph below.

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If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
Dmitry [639]

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

3 0
3 years ago
When rolling a die why is the probability of rolling a 2 or 3
Gelneren [198K]

Answer:

1/3

Step-by-step explanation:

If you're talking about a 6-sided die, then there are 6 sides.  Rolling a 2 or a 3 would be a 2/6 chance.  To simplify if from there, you can also say that there is a 1/3 chance.

8 0
3 years ago
Which of the following is the graph of y = cos(2x)?
irinina [24]

Answer:

Select the one which meets the following characteristics.

Step-by-step explanation:

y = cos(2x)

Characteristics:

Mean line at y = 0

Amplitude = 1

Period = 360/2 = 180° or pi radians

i.e one complete cos cycle is 0 to 180, next is 180 to 360 and so on

Range : from -1 to 1

5 0
3 years ago
Read 2 more answers
Find the circumference of the circle.<br> 7 m
Nutka1998 [239]

Answer:

43.96m is the answer

Step-by-step explanation:

circumference of circle=2πr

=2*3.14*7

=43.96m

8 0
2 years ago
Can someone show me how to do it and the answer
Virty [35]

Answer:

B

Step-by-step explanation:

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

h= 9, k = -7

r = 2, so r^2 = 4.

We now know that the equation must equal 4, so we can rule out answers A and C.

Plug in the values for h and k to get

(x-9)^2 + (y+7)^2 = 4

Choice B is correct!

3 0
3 years ago
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