This means that for a given year that Indiana became a state, Arizona became a state 96 years later. The expression (b) y+96=1896 is correct.
Answer:
By comparison of the sides.
Step-by-step explanation:
If triangles are similar, that means their angles are equal and sides are proportional.
If you already have a proportion of two corresponding sides between triangles, then use that proportion and set it equal to a side you already know the measurement to. Hopefully that side is corresponding to your missing measurement, and you can then solve it.
Here, we are required to write a real-world problem that can be represented by the given equation
On the left hand side of the equation, we can say that :
The addition of 6 to twice my cousin's age which gives 2x+6.
On the right hand side, we can say the addition of 4 to thrice my cousin's age which also gives:
3x +4
Ultimately, the real-world problem may be in the form :
Six added to Twice my cousin's age is equal to 4 added to thrice his age.
Also, my variable, x represents my cousin's age.
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Answer:
3x^2 - 9x + 8
Step-by-step explanation:
To simplify:
- Distribute the -1 into the second term.
- Collect and combine like-terms (terms with the same variables or powers)
The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)
After distributing the -1, the equation becomes:
- (2x^2 - 5x + 3) + (x^2 - 4x + 5)
The like-terms are:
- 2x^2 and x^2
- -5x and -4x
- 3 and 5
Combine the like-terms:
- 2x^2 + x^2 = 3x^2
- -5x - 4x = -9x
- 3 + 5 = 8
Substitute the simplified like-terms into the expression, in descending order:
