I'm not sure if this is a trick question, but the definition of a linear function prevents the function from having more than one y-intercept. x-values can't be shared in a function; there is a unique x value for every y value. at the y-axis, the value of x is 0. two y-intercepts would mean that x would be 0 for TWO points on the linear function, which doesn't pass the vertical line test and, therefore, isn't a function.
a graph CAN, however, have more than one x-intercept. the line y = 0, which passes the vertical line test and sits directly on top of the x-axis, has infinitely many x-intercepts and it is still a linear function.
Answer:
The invalid statement is 4) Segment AP is congruent to segment PQ.
We conclude that 2) Segment RB is congruent to segment CS.
Step-by-step explanation:
Given, line segment AB & CD
Here, P is the midpoint of AB ⇒ AP=PB
& Q is the midpoint of CD ⇒ CQ=QD
It is given that P is point on AB not on CD ∴ there is no relation of point P with line segment CQ.
Hence, the invalid statement is
Segment AP is congruent to segment PQ.
Now, given that R is the midpoint of AP ⇒ AR=RP
& S is the midpoint of QD ⇒ QS=SD
AB≅CD (Given)
≅
PB ≅ CQ (∵from midpoint statements)
∵ PA=QD ⇒ PR=QS
Because PB≅CQ
PB+PR≅CQ+QS
⇒ RB≅CS
Therefore, Segment RB is congruent to segment CS
Answer: y = -2x + 1
Solution:
To find the the equation use first find the slope using the equation:
m= y2-y1/x2-x1
m = -1-3/1-(-1)
m = -4/2
m = -2
Using the equation below,
y = mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
so to write the equation of line we need to find the y-intercept (b)
substitute the slope (-2) and any of the given pair of coordinates , right now i will be using (1,-1)
y = mx + b
-1 = (-2)(1) + b
-1+2 = b
1 = b
So the line of equation,
y = mx + b
y = -2x + 1
GIVEN: y(x−1)=zy(x−1)=z
Divide both sides by y to get: x−1=zyx−1=zy
Add 1 to both sides to get: x=zy+1
Your goal here is to determine the value of x.
Use the principle of similar triangles:
x is to 12 as 6 is to 8:
x 6
--- = ----
12 8
Therefore, 8x = 72, and x = 9 (answer)