One side is -4.
It can also be x + 4.
Turn 16 + 8x + x^2 into standard form —> x^2 + 8x + 16
Note: standard form is ax^2 + bx + c
Use the “foil” method to factor.
(x + 4)(x + 4)
x=-4
Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1
Answer:
Area of the shaded region = ![100 inch ^2](https://tex.z-dn.net/?f=100%20inch%20%5E2)
Step-by-step explanation:
Area of the Shaded region= Area of rectangle - Area of the triangle
Area of the rectangle= Length * breadth
![Breadth= 10 inch](https://tex.z-dn.net/?f=Breadth%3D%2010%20inch)
Putting the values in the formula
Area of the rectangle :
![20 * 10\\\\ =200 square inches](https://tex.z-dn.net/?f=20%20%2A%2010%5C%5C%5C%5C%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3D200%20square%20inches)
Area of the Triangle = ![\frac{1}{2} * Base*Height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%20Base%2AHeight)
Base of triangle= 20 inches , Height of the triangle = 10 inches
Area of triangle ![Area=\frac{1}{2} *20*10\\\\=100 inch^2](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%20%2A20%2A10%5C%5C%5C%5C%3D100%20inch%5E2)
Area of the shade region:
![= 200-100\\ = 100 inch^2](https://tex.z-dn.net/?f=%3D%20200-100%5C%5C%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3D%20100%20inch%5E2)
Answer:
0.1385 or 13.85%
Step-by-step explanation:
Number of cans of soup (S) = 10
Number of cans of vegetables (V) = 8
Number of cans of fruit (F) = 8
Total number of cans (n) = 26
There are three possible ways to get 1 vegetable and 2 cans of fruit (VFF, FVF, FFV). If each outcome is equally likely, the probability is:
![P = 3*P(VFF)\\P=3*\frac{8}{26} *\frac{10}{25} *\frac{9}{24}\\P=0.1385](https://tex.z-dn.net/?f=P%20%3D%203%2AP%28VFF%29%5C%5CP%3D3%2A%5Cfrac%7B8%7D%7B26%7D%20%2A%5Cfrac%7B10%7D%7B25%7D%20%2A%5Cfrac%7B9%7D%7B24%7D%5C%5CP%3D0.1385)
The probability is 0.1385 or 13.85%.