To find the area of this shape you must first find the area of the rectangle 8 x 13 = 104. Once you find the area of the rectangle you must then find the area of the triangle which is base x height divided by 2. So to find the base of the triangle you must add the 4s on the bottom and subtract it by 13. So 13-8=5 so the base of the triangle is 5, the height is 6 and 5x6 is 30. You then divide it by 2 so you get 15. Now you take the area of the rectangle,104 and subtract it by the area of the triangle, 15. The answer is 89. I hope this helps.
Answer:
49 7/12
Step-by-step explanation:
Answer: 255
Step-by-step explanation:
Answer:
The solution for k is the interval (-3.5,1.5)
Step-by-step explanation:
we have



![}[1-k]x^{2}+3x-(3+k)=0](https://tex.z-dn.net/?f=%7D%5B1-k%5Dx%5E%7B2%7D%2B3x-%283%2Bk%29%3D0)
we know that
If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions
The discriminant is equal to

In this problem we have
a=(1-k)
b=3
c=-(3+k)
substitute

so

solve the quadratic equation by graphing
The solution for k is the interval (-3.5,1.5)
see the attached figure