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ElenaW [278]
4 years ago
9

Explain how to graph y > 2x + 3

Mathematics
1 answer:
Leona [35]4 years ago
6 0

>; < - dot line

≥; ≤ - solid line

>; ≥ - shading above the line

<; ≤ - shading below the line

----------------------------------------------

y = 2x + 3 - it's a linear function. We only need two points to plot the graph. Select two any x values and calculate the y values:

for x = 0 → y = 2(0) + 3 = 0 + 3 = 3 → (0, 3)

for x = -2 → y = 2(-2) + 3 = -4 + 3 = -1 → (-2, -1)

y > 2x + 3

Dot line an shading above the line (look at the picture).

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Given |u| = 10 at ∠135° and |v| = 5 at ∠30°, what expression can be used to find |u + v|?
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Answer:

B, 10^{2} + 5^{2}- 2(10)(5)cos(75)

Step-by-step explanation:

Using the law of cosines, which is c^{2}=a^{2}+b^{2}-2ab cos(C), you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find  C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 =  C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

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#7.
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