Answer:
x=5,y=2,z=-1
Step-by-step explanation:
x+y+z=6 ........1
2x-y+3z=5 ..........2
3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3
substitute for x in equation 1 and 2
13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3
<h2>z/3+y=5/3 first equation</h2>
2(13-2z)/3-y+3z=5
26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒
<h2>5z/3-y=-11/3 second equation</h2><h2>z/3+y=5/3 first equation</h2><h2>eliminate y </h2>
5z/3-y+z/3+y=-11/3+5/3
6z/3=-6/3
<h2>z=-1</h2><h2>x=(13-2z)/3 ( find x, bu substitute z=-1)</h2>
x=(13+2)/3
<h2>x=15/3 ⇒ x=5</h2><h2>x+y+z=6</h2>
5+y-1=6
y=6+1-5
<h2>y=2</h2><h2 /><h2 /><h2 />
Answer:
The function notation is when we represent one of the coordinate points as a function of the other ones.
In the general case, we will have:
y = f(x)
Now, we have that:
y = 7*x - 2
Then the function notation will be:
y = f(x) = 7*x - 2
or simply
f(x) = 7*x - 2
Answer: B' (x-4,y)
Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through <u>translation</u>.
So, when a point is translated, it means it changed its position.
Point B has x- and y-coordinates: B(x,y)
Point B' after being translated 4 units left means:
(x,y) → (x-4,y)
In other words, translated point B has coordinates
B(x-4, y)
Because moving left is saying the point is moving towards the negative "side" of the x-axis.
Answer:
option D
Step-by-step explanation:
Angle ADF and Angle FDE
ADF+ FDE
Answer:
Step-by-step explanation:
Given.
The end of a cave is 380 meters below the surface of the earth.
The surface of the earth is reference for all the measure with respect to earth
and it is 0 on the surface
If we go up side on the surface of the earth we will get the positive value and if we go inside of the earth we will get negative value.
So, integer representation of depth =
Therefore, the integer representation of depth is