<h3>Answer:</h3>
(5, -2, -3)
<h3>Explanation:</h3>
We assume your equations are ...
- x +3y -z = 2
- 4x +2y +5z = 1
- 3x +0y +z = 12
These have solution (x, y, z) = (5, -2, -3).
_____
<em>How we know</em>
Trying the choices in the last equation eliminates the first and last. Trying the second choice in the first equation eliminates it, leaving the 3rd choice as the answer you're looking for.
We also know because we can ask a graphing calculator to solve the matrix equation (or row-reduce the augmented matrix).
<em>Comment on this problem</em>
The hardest part of this problem is figuring your intent. The equations are not well-separated, so we have a hard time telling what is a constant and what is a coefficient. It took a couple of guesses to sort it out. A little editing before posting would be helpful.
Given the coordinates of the three vertices of a triangle ABC,
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>
Answer:
The correct answer is y ≥ 8
Step-by-step explanation:
In order to graph this, we must first solve the equation for y.
193 + y ≥ 201
y ≥ 8
Now that we have the solved version, we can graph on a number line. Draw a closed circle on the point 8 and then draw an arrow to the right to show that it is greater.
Answer:
There is no solution because the slopes of the line are the same.
Step-by-step explanation:
4y - 4x = 48
+ 4x + 4x Add 4x to both sides
4y = 4x + 48 Divide both sides by 4
y = x + 12
Now set both equations equal to each other since they equal y
x + 12 = x - 11
-x - x Subtract x from both sides
12 ≠ -11 No Solution
If this answer is correct, please make me Brainliest!
Answer:
Step-by-step explanation:
<u>Reflection over x-axis results in:</u>
- f(x) → - f(x) translation
<u>Therefore the new function is:</u>