Answer: -8, -7, -6, -5
Remember: consecutive numbers are numbers that are back to back. For example, 1, 2, 3, and 4 are consecutive numbers while 1, 3, 5, and 6 are not.
Form your equation. Let x be your first number, x + 1 your second number, x + 2 your third, and x + 3 is your fourth. To further understand this, temporarily substitute 1 for x, and you will find that they are consecutive.
(x) + (x + 1) + (x + 2) + (x + 3) = -26
Solve for x.
(x) + (x + 1) + (x + 2) + (x + 3) = -26 Distributive Property
x + x + 1 + x + 2 + x + 3 = -26 Combine like terms
4x + 1 + 2 + 3 = -26 Combine like terms
4x + 6 = -26 Subtract 6 from both sides
4x = -32 Divide by 4 to both sides
x = -8 Isolated x
Substitute (-8) for x to find the numbers.
1st #: x = -8
2nd #: x + 1 = (-8) + 1 = -7
3rd #: x + 2 = (-8) + 2 = -6
4th #: x + 3 = (-8) + 3 = -5
The numbers are -8, -7, -6, and -5.
You can also check your work.
(-8) + (-7) + (-6) + (-5) = -26
-26 = -26
Answer:
Option C. positive
Step-by-step explanation:
we know that
If the discriminant of a quadratic function is positive, then the quadratic function has two real solutions
If the discriminant of a quadratic function is zero, then the quadratic function has one real solution
If the discriminant of a quadratic function is negative, then the quadratic function has two complex solutions
In this problem
The quadratic function has two real solutions (x-intercepts)
therefore
The discriminant is positive
It would be A. because it intercepts the x-axis and y-axis at (0, 0) and D. because it looks like a u
Check the picture below.
so the lateral area of the pyramid is really just the area of four triangles whose base is 10 and height is also 10, now, we're excluding the bottom because that's not lateral area.
![\stackrel{\textit{area of four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{10}) \right]}\implies 2(100)\implies \text{\LARGE 200}~ft^2](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Barea%20of%20four%20triangles%7D%7D%7B4%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%28%5Cstackrel%7Bb%7D%7B10%7D%29%28%5Cstackrel%7Bh%7D%7B10%7D%29%20%5Cright%5D%7D%5Cimplies%202%28100%29%5Cimplies%20%5Ctext%7B%5CLARGE%20200%7D~ft%5E2)
