Answer:Irrational
Step-by-step explanation: There is not a number you can square to get 23. The answer would be a repeating number, being irrational.
Answer:
C 2 and 7 are interior angles
Step-by-step explanation:
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
Answer:
Step-by-step explanation:
First, move the -11/4 to the other side, so the expression can equal 0.
![x^2+6x+11/4=0](https://tex.z-dn.net/?f=x%5E2%2B6x%2B11%2F4%3D0)
To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.
![4x^2+24x+11=0](https://tex.z-dn.net/?f=4x%5E2%2B24x%2B11%3D0)
There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).
Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of
and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.
: 24x 11:
2x 22x 11
2x 2x 1
24x (works)
I'll then take the factors diagonal. (2x+1)(2x+11)=0
So ![x=-\frac{1}{2}, -\frac{11}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B2%7D%2C%20-%5Cfrac%7B11%7D%7B2%7D)
Answer:
216 cm³
Step-by-step explanation:
large prism volume = 6 x 6 x 8 = 288 cm³
small cutout volume = 3 x 3 x 8 = 72 cm³
288- 72 = 216 cm³
9514 1404 393
Answer:
C. (-1, -4)
Step-by-step explanation:
Since you have the graph, you can easily plot the points to see which lies on it. The attached shows that only (-1, -4) is on the graph.