Answer:
Step-by-step explanation:
The point ( -2 , 3) lies in the 2nd quadrant
Point are generally in the form (x , y). The point you need to plot is ( -2 , 3) which means the value of x = -2 and the value of y = 3.
I have attached an image you can check it out.
Answer:
2a²
Step-by-step explanation:
Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.
Lets deal with the top of the fraction first:
4ax3a³
Rearrange it so you have numbers beside numbers and 'a's beside 'a's:
(4x3)x(axa³)
12x(a⁴) <em>(because nᵃxnᵇ=nᵃ⁺ᵇ)</em>
12a⁴
Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²
First divide the numbers: 12/6 =2
Now divide the 'a' parts: a⁴/a²=a² <em>(because nᵃ/nᵇ=nᵃ⁻ᵇ)</em>
Now we have 2a²
We're going to go ahead and eliminate one answer out of the four. It <u>cannot be B</u> (the second answer) <em>because the graph is made of dotted lines. </em>
Dotted Lines = > or <
Solid Lines = ≤ or ≥
Next, let's focus on the straight line on the graph.
The equation for the line is
y = x - 4
Since the shaded region is <em>below </em>the line,
the equation will be <u>y < x - 4 </u>
We can now <u>eliminate </u>answer <u>A </u>
Since the second equation is y < - l x - 2 l
It will be shaded below the graph since it uses the ( < ) (less than symbol)
This means <em><u>the answer is C</u></em>
Hope I helped, message me if you have any questions : )
Answer:
JL = 70
Step-by-step explanation:
Since K is the midpoint of JL then JK = KL and
JL = JK + KL = 9x - 1 + 2x + 27 = 11x + 26
solve for x using JK = KL
9x - 1 = 2x + 27 ( subtract 2x from both sides )
7x - 1 = 27 ( add 1 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4, hence
JL = 11x + 26 = (11 × 4 ) + 26 = 44 + 26 = 70
