Answer:
1. x > -1
2. x < -1
Step-by-step explanation:
#1
5x - 29 > -34
1. Add 29 to both sides.
5x > -34 + 29
2. Simplify -34 + 29 to -5.
5x > -5
3. Divide both sides by 5.
x > -1
#2
2x + 31 < 29
1. Subtract 31 from both sides.
2x < 29 - 31
2. Simplify 29 - 31 to -2.
2x < -2
3. Divide both sides by 2.
x < -1
Your welcome, hope this helps!
divide 360 by 2 with an outcome of 180 then multiply by 3
answer is 540
For 12:
Since the line y = mx + c is a tangent, then the distance from the centre of the circle to the line is equal to the radius.
Using perpendicular distance:
Squaring both sides, we get:
, as required.
We randomly select one card from 52, so there are 52 outcomes and:
We also know, that there are
face cards in a standard deck (
) and only three of them are diamonds, so
With this informations, we can calculate our probability: