Solve for x, 3(x – 4) ≥ 5x + 2
1 answer:
x≤-7
First , use the distributive property :
3(x-4)≥5x+2
3x-12≥5x+2
Subtract 5x on both sides :
3x-5x-12≥2
Now , add 12 on both sides :
3x-5x≥2+12
3x-5x≥14
Subtract the x's :
-2x≥14
Divide by -2 on both sides and watch what happens :
x≤-7 (notice that the inequality sign changed from "greater than or equal to" to "less than or equal to")
If we divide both sides of an inequality by a negative number , we change the inequality sign .
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The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base
We have the side of the square, so the area is = 10×10 = 100
We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.
Using the Pythagoras rule
Height of triangle =
Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches
The pyramid is built from four congruent triangles and one square as the base
We have the side of the square, so the area is = 10×10 = 100
We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.
Using the Pythagoras rule
Height of triangle =
Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches
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