Answer:
Option A
Step-by-step explanation:
A system of equations is consistent when it has at least one solution. If the system is represented by lines it's not consistent if the lines that represent it never intercept each other. Now, if a system is consistent and has an infinite number of solutions then we say that is also dependent. When you graph the equations of a consistent and dependent system those graph must all be the same. Let's use this to find the answer. As you can see the graph of option B is composed of two different lines that we can identify so this is not a dependent system. The same happens with C and D, the graph of each of these systems is composed of two lines instead of one. Now let's see if A is dependent. We have the following equations:
y=2x+1
y-1=2x
If the second equation can be rewritten as the first one then they represent the same line and the system is dependent. Let's take the second equation and add 1 to both sides:
y-1+1=2x+1
y=2x+1
Which is exactly the same equation as the first one. Then these two equations represent the same line. Then the answer is option A.
Hence, the correct answer is Option A
Answer:
25 in; C
Step-by-step explanation:
Hey!
There probably is a reason she is deleting. You could contact her or ask some help elsewhere.
Anyway! I'm trying to get this in fast. (Remember the Pythagorean Theorem?) That will be very useful here since it is a right triangle.
<u>L² + L² = H² (or H² - L² = L²):</u>
In that case, we'll use the second one because our Hypotenuse is given.
We can substitute each value of the numbers:
65² - 60² = L²
Evaluating:
4225 - 3600 = 625
√625 = 25 inches
Thusly, the third side would be
<em>Also note we could have simplified into a Pythagorean Triple. This method is a simpler more basic method for learning the concept.</em>
Hope this helps!
Answer:
-0.75
Step-by-step explanation:
To get the z score we have to use this formula
Z = X-mean/standard deviation
X = 2300
Mean = 3200
The standard deviation = 1200
When we plug these values into the z formula above, we have:
2300-3200/1200
= -900/1200
= -0.75
the z-score for a backyard structure costing $2,300 is therefore -0.75
All numbers less than 20 with 3 factor pairs are:
Since JL = 12 inches, that's the amount for AC