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:
We can use the Pythagorean Theorem to help determine if a triangle is a right triangle, if it is acute, or if it is obtuse. ... Conversely, if \begin{align*}a^2 + b^2 < c^2\end{align*}, then lengths \begin{align*}a, \ b\end{align*}, and \begin{align*}c\end{align*} make up the sides of an obtuse triangle.
Step-by-step explanation:
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Answer:
y = -2/3x + 3
Step-by-step explanation:
y = -2/3x + b
5 = -2/3(-3) + b
5 = 2 + b
3 = b
Answer:
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