The answer in centimetres is 250cm
As an inequality, you'd say , because there's a closed circle (meaning we'll have "or equal to") and the shading goes to the right (meaning we also want numbers greater than -11).
In interval notation, you first describe where the interval starts on the left and ends on the right. This starts at -11 and goes on forever, so we'll say it goes to infinity. Then you have to indicate if each end is included.
- The -11 has a solid dot, so -11 is included (again, that's we had "or equal to" before), so we'll put a square bracket on that.
- Infinity is not a number. It's an idea. Since it's not a number, it cannot be included, so it'll get a curved parenthesis.
The interval notation answer is:
Answer: 39.5 ft^2
Step-by-step explanation:
1. Find the area of the rectangle using the formula length * width
2. Find the area of one of the triangles (the top one) using the formula 1/2(b*h)
3. Find the area of the other triangle (the bottom one) using the formula 1/2(b*h)
- 3 ft * 3 ft * 0.5 = 4.5 ft
4. Add 'em all up to get the total area
- 32 ft + 3 ft + 4.5 ft = 39.5 ft ^2
Answer:
C. Side = 17 cm, side = 12 cm, side = 7 cm
Step-by-step explanation:
Three line segments can form a triangle, if the sum of any two lengths is greater than the third length.
In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.
In B) 9 + 7 = 16 = 16. Hence, the lines are collinear.
In D) 11 + 5 = 16 < 17. So, D cannot form a triangle.
In C),
17 + 12 = 29 > 7
12 + 7 = 19 > 17 and
17 + 7 = 24 > 12
Hence, sides given in (C) can form a triangle.
If you use the first answer, the equation becomes 2x + 2y = 16. You could subtract this from equation Q to eliminate x.
The second answer makes equation P -2x - 2y = -16. You could add this to equation Q to eliminate x. You can use both of these methods to eliminate the x term, but if you can only choose one, you should choose the second option.