Answer:
Step-by-step explanation:
To find the value of b, we need to isolate it on one side of the inequality. We can do this by subtracting 2x from both sides, which gives us b > -3 - 2x.
Since we want x to be greater than 3, we can plug in the value 3 for x on the right-hand side of the inequality. This gives us b > -3 - 6, or b > -9.
Therefore, the value of b that makes the inequality true is any value that is greater than -9. For example, b could be -8, -7, -6, or any other value that is greater than -9.
To check if our solution is correct, we can plug in the value of b and the value of x (3) into the original inequality to see if it is true. If we plug in -8 for b and 3 for x, we get the inequality 2x + b > -3, which simplifies to 2 * 3 + (-8) > -3, or 6 - 8 > -3, which is true. Therefore, our solution is correct.
Answer:
2×2×3×3×5 are the prime factors of 180
Step-by-step explanation:
If you draw a factor tree, you would find that 2x2x3x3x5 are the prime factors of 180
hope this helps :)
<h2>
Greetings!</h2>
Answer:
Angle A is 118°
Step-by-step explanation:
All angles in a circle add up to 180, so this means that all the measurements of the three angles add to 180:
x + 2x + 13 + x - 8 = 180
Clean it up:
3x + x + x + 13 -8
5x -5 = 180
To isolate the 5x, you need to move the +5 over to the other side, making it a negative 5:
5x = 180 - 5
5x = 175
Now divide each side by 5 to get the value of 1x:

x = 35
So angle A is:
3x + 13
3(35) + 13 = 118
<h3>So angle A is 118°</h3>
<h2>Hope this helps!</h2>
Answer:
none
Step-by-step explanation:
4x - 6 = 2(2x + 3)
4x - 6 = 4x + 6
Everything cancels out meaning there are no real solutions
Answer:
<h3>The answer is 17.5 units</h3>
Step-by-step explanation:
Using the distance formula
<h3>

</h3>
the distance between (-10, 12) and (5, 3) is
<h3>

</h3><h3>

</h3><h3>

</h3><h3>

</h3><h3>

</h3>
d = 17.492855
We have the final answer as
<h3>d = 17.5 units to the nearest tenth</h3>
Hope this helps you