Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)
In a dot plot, each one of the dots represents a value in the data set. When there are multiple values at a particular number, the dots just get stacked on top of each other. Using the dots in the plot, you can find the mean, median, mode or any other statistic that you need to summarize the data.
Answer:
x = 58°
Step-by-step explanation:
The sum of the angles in Δ AHI = 180 , then
∠ AIH = 180° - (66 + 56)° = 180° - 122° = 58°
x and ∠ AIH are corresponding and are congruent , then
x = 58°
Answer:
No
Step-by-step explanation:
5x-5 is not equivalent to 5(x+2)-7 because when you multiply out the 5 in 5(x+2)-7 you get 5x+10-7, which simplifies to 5x+3.
5x-5 ≠ 5x+3
1/3 of 39,900 equals 1/3*39900
(1/3)*(39900/1)= 39900/3
39900/3= 13300
Final answer: 13,300