Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Let's solve your inequality step-by-step.
<span><span><span>
a − 8 </span>+ 15 </span>> <span>23
</span></span>Step 1: Simplify both sides of the inequality.
<span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>> 23
</span>
Step 2: Subtract 15 from both sides.
<span><span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>− 15 </span>> <span>23 − 15
</span></span><span><span><span><span>
−1/</span>8</span>a </span>> 8
</span>
Step 3: Multiply both sides by 8/(-1).
<span><span><span>
(<span>8/<span>−1</span></span>) </span>* <span>(<span><span><span>−1/</span>8</span>a</span>) </span></span>> <span><span>(<span>8/<span>−1</span></span>) </span>* <span>(8)
</span></span></span><span>
a < <span>−<span>64
Therefore, the answer is a < -64! I hope this helped! :)</span></span></span>
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!
