Answer:
A). y > x – 2 and y < x + 1
Step-by-step explanation:
Answer:
<h2>y = 3/4x + 5</h2>
Step-by-step explanation:
The slope-intercept form:
m - slope
b - y-intercept → (0, b)
The formula of a slope:
We have the points (4, 8) and (0, 5) → b = 5.
Calculate the slope:
Therefore we have the equation of the line:
Answer:
4. x = 6
5. x = 31
6. x = 34
Step-by-step explanation:
4. vertical angles
- 36/6 = 6
5. supplementary angles
180 - 56 = 124
124/4 = 31
6. complementary angle
90 - 22 = 68
68/2 = 34
The value of the given trigonometry function is 2√15/15
<h3>Half angles</h3>
Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.
For instance the value of cos theta is expressed as shown below;
cosФ = cos(Ф/2+Ф/2)
cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ = 1 - 2cos²Ф/2
Given the following parameters
cosФ = -7/15
Substitute
cosФ = 1 - 2cos²Ф/2
-7/15 = 1 - 2cos²Ф/2
-2cos²Ф/2 = -7/15 - 1
-2cos²Ф/2 = -8/15
cos²Ф/2 = 4/15
cosФ/2 = 2/√15
Rationalize
2/√15 * √15/√15
2√15/15
Hence the value of the given trigonometry function is 2√15/15
Learn more on trigonometry function here: brainly.com/question/2254074
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Answer:
1/5^7 (the last one)
Step-by-step explanation:
When dividing exponents you subtract the the two exponents. In this case you subtract 3 from -4. -4-3=-7. So you have 5^-7. That is also equal to 1/5^7
