Answer:
D: y = 2x - 2
Step-by-step explanation:
1.
= 2
2. y = 2x + b
3. Insert the points into the equation: 8 = 10 + b
4. b = -2
5. y = 2x - 2
Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x add x to both sides
4x > -16
>
divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
is proved
<h3><u>
Solution:</u></h3>
Given that,
------- (1)
First we will simplify the LHS and then compare it with RHS
------ (2)

Substitute this in eqn (2)

On simplification we get,


Cancelling the common terms (sinx + cosx)

We know secant is inverse of cosine

Thus L.H.S = R.H.S
Hence proved
The Pythagorean Theorem is a^2 +b^2 = c^2, where a and b are the sides and c is the hypotenuse ( angled line).
3.
a^2 + 6^2 = 18^2
a^2 + 36 = 324
a^2 = 324 - 36
a^2 = 288
a =√288
a = 12√2
4.
a^2 + 3^2 = 9^2
a^2 + 9 = 81
a^2 = 81-9
a^2 = 72
a = √72
a = 6√2