Answer:
16 13 13 11 11 9 9 8 Median = 11 Mean = 11.25
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
Answer:
Option A.
Step-by-step explanation:
The given equation is
Step 1: Multiply both sides by (x-4).
Step 2: Multiply both sides by 7.
Step 3: Using distributive property.
Step 4: Isolate all terms on one side.
Step 5: Find factors by splitting the middle term.
Step 6: Using zero product property, we get
It means student solved the equation correctly.
Therefore, the correct option is A.
Answer:
x-intercept= 12
y-intercept=-4
Step-by-step explanation:
A) f(-4)-f(-5)=-3- (-11)=-3+11=8
f(-2)-f(-3)=13-5= 8
f(0)-f(-1)=29-21= 8
f(2)-f(1)=45-37=8
f(3)-f(2)=53-45=8
all are 8
b) f(-3)-f(-5)= 5- (-11)= 5+11=16
f(-2)-f(-4)=13-(-3)=13+3=16
f(1)- f(-1)=37-21= 16
f(3)-f(1)=53-37=16
c) f(-2)-f(-5)=13-(-11)=13+11=24
f(-1)-f(-4)=21-(-3)=21+3=24
f(0)-f(-3)=29-5=24
f(1)-f(-2)=37-13=24
f(2)-f(-1)=45-21=24
d) The differences have the same ratio.
cause is a linear function f(x)=ax+b
f(x+3)-f(x)=a(x+3)+b-ax-b=ax+3a-ax=3a
f(x+2)-f(x)=2a
f(x+1)-f(x)=a
so it is the same for every x
