Answer:
x = 4.75
Step-by-step explanation:
<u>(5 +X</u><u> )/3</u> = 2 - <u> X/4</u>
<h3>
<u>(5 +X</u><u> )/3</u> = 8 - X </h3><h3>5+ X = 3 (8 - X) </h3><h3> 5+ X = 24 - 3X transposing terms</h3><h3>X+ 3X= 24 -5</h3><h3> 4X = 19</h3><h3> X = 19/4 </h3><h3>X = 4.75</h3>
2. The line segments XW and ZW are congruent because the line segments that are bisected are congruent
4. YW = YW because they are common for both triangles YXW and YZW
YW = YW . They are identical
5. the triangles WXY and WZY are the mirror reflection of one another. because they have common line segment YW and also XW= ZW
6. The triangles WXY and WZY are congruent so the sides lengths and angles are same.Hence XY = ZY
Answer:
1) Exactly one solution
2) Exactly one solution
3) No solution
4) Infinite many solution
5) No solution
Step-by-step explanation:
As given
1)
y = 3x + 1 ......(1)
y = -3x + 7 ......(2)
Put the value of y in equation (1) , we get
-3x + 7 = 3x + 1
⇒7 - 1 = 3x + 3x
⇒6 = 6x
⇒x = 1
Now as
y = -3x + 7
⇒y = -3(1) + 7 = -3 + 7 = 4
∴ we get
x = 1, y = 4
Unique Solution ( Exactly one solution )
2)
y = 3x+ 1 ......(3)
y = x+1 .......(4)
Put the value of y in equation (3), we get
x + 1 = 3x + 1
⇒1 - 1 = 3x - x
⇒0 = 2x
⇒x = 0
Now, as
y = 3x + 1
⇒y = 3(0) + 1 = 1
∴ we get
x = 0, y = 1
Unique solution ( Exactly one solution )
3)
y = 3x + 1 ........(5)
y = 3x + 7 ........(6)
Put the value of y in equation (5), we get
3x + 7 = 3x + 1
⇒7 - 1 = 3x - 3x
⇒6 = 0
No Solution
4)
x+y=10 ........(7)
2x+2y=20 .........(8)
Divide equation (8) by 2, we get
x + y = 10 .....(9)
⇒y = 10 - x
Put the value of y in equation (7), we get
x + 10 - x = 10
⇒10 = 10
Infinite many solutions
5)
x + y = 10 .......(10)
x + y = 12 .......(11)
⇒y = 12 - x
Put the value of y in equation (10) , we get
x + 12 - x = 10
⇒12 = 10
No solution
Answer:
2
Step-by-step explanation:
Graph 1 is not a function because in some places, it has two y values for each x value. Graph 2 and 3 are both functions.
A good way to test for functions and non-functions on graphs is to use the "vertical line test." If you draw lines parallel to the y-axis, those lines should only pass through the graph ONCE. If at any point the same vertical line touches the graph twice or more, then it fails the test and is not considered a function.