In the expression 4(x), 4 represents the number of legs, and x represents the height of the coffee table.
Altogether this expression shows the total length of all legs from the coffee table and kitchen table combined.
For this problem, I'd use cross-multiplication.
9/12 = x/8.
When cross multiplying, multiply 12*x and 9*8. This leads to a new equation:
12x = 72.
Then you solve as an algebra problem.
*Divide 12 on both sides*
x = 6.
Answer: 2 units.
Step-by-step explanation: When you graph the points given, it gives you this shape in the image below. The hypotenuse (longest side of triangle) is found by doing the following:
a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.
5^2 + 2^2 = 29.
√ 29 ≈ 5.38, and that is the length of the hypotenuse.
The shortest side is the bottom side, which is 2 units. Therefore, that is your answer.
Let me know if this is right! :)
Answer:
Once the equation is in standard form, factor the quadratic expression. 2x2 + 7x + 3 = 0 (2x + 1)(x + 3) = 0. Using the Zero Product Property set ...
2x2 + 7x = -3
2x2 + 7x + 3 = 0
Once the equation is in standard form, factor the quadratic expression.
2x2 + 7x + 3 = 0
(2x + 1)(x + 3) = 0
Using the Zero Product Property set each factor equal to 0 and solve for x.
2x + 1 = 0
2x + 1 - 1 = 0 - 1 x + 3 = 0
2x = -1 x + 3 - 3 = 0 - 3
2x 2 = -1 2 x = -3
x = -1 2
The solutions to the equation are -1 2 and -3.
I think the answer would be 11.85 11.94
