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The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.
We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.
DIFFERENCE IN Y-VALUES
3-(-3)
3+3
6
DIFFERENCE IN X-VALUES
-2-3
-5
Now, we divide the two answers, giving us -6/5.
So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!
-3=-6/5(3)+b
-3=-3 3/5+b
We add 3 3/5 to both sides to isolate the b.
b=3/5
This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.
Now you can find the slope of a median! Have a wonderful day! :D
Answer:
16 cups of cashews
12 cups of almonds
Step-by-step explanation:
Let's say x is the cups of cashews and y is the cups of almonds.
We can write two equations:
x / y = (1/3) / (1/4) = 4/3
x + y = 28
Solve the system of equations using substitution.
x = 4/3 y
4/3 y + y = 28
7/3 y = 28
y = 12
x = 16
Answer:
y=4x-4
slope of the line=-4/-1
4/1
since perpendicular,
m1.m2=-1
4.m2=-1
m2=-1/4
The equation of line passing through the point (4,2)is
y-y1=m2(x-x1)
y-2=-1/4(x-4)
Step-by-step explanation:
i don't say that you have to mark my ans as brainliest but my friend if it has helped you a bit also don't forget to thank me.....
Answer:
D.) All the above answer choices are good characteristics of a summary.
Step-by-step explanation:
A summary is one-third of the original context. It gives the main idea of the writing. It includes all the most important and relevant supporting details. One can understand the whole story or text by reading the summary.
Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:
3. Solve the square root:
4. Simplify the rest:
5. Separate the solutions:
Thus, options B and C are the answers.
hope this helps!
