Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
answer is 24.56cm
perimeter of half/semi circle =
r + 2r
<em>one semi circle semi circles perimeter: </em>
<em>*2+2*2 =10.283cm, </em>
<em>for two semi circles= 2*10.283 =20.566cm</em>
without the line below for two semi circle: 20.566-4-4=12.566 cm
both da side of rectangle is 6cm+6cm=12cm
now add the 12.566+12=24.56cm
Answer:
The second graph.
Step-by-step explanation:
The one where the line is curving upwards.
a
Step-by-step explanation:
because it's is very important
Answer:
the area of the hexagon is 68 cm²
Step-by-step explanation:
Let us observe the image a little, we can find the area of the hexagon equals to the area of the large rectangle minus 4 small triangles surrounding the hexagon. The area of the rectangle is 8 × 12 is 96 cm². The area of 1 small triangle is 4 × 3.5 ÷ 2 = 7, there are 4 triangles, so the total area is 4 × 7 = 28. So the hexagon's area is 96 - 28 = 68 cm²
Hope this will help❤️