Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
Answer:
Step-by-step explanation:
Let the packages contain maximum amount of plates.
<u>Find the GCF of both numbers:</u>
- GCF(32, 56) = (2*2*2) = 8
<u>Lisa bought:</u>
<u>Greg bought:</u>
Answer:
B v D v M ;
(B ٨ M) V (B ٨ D) V (M ٨ D) ;
B V (D ٨ M)
Step-by-step explanation:
Given :
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
1.)
This means that any one of the three must be presented :
Birth certificate OR Driver's license OR Marriage certificate
B v D v M
2.)
This means any two combination of the three certificates :
(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)
(B ٨ M) V (B ٨ D) V (M ٨ D)
3.)
That is birth certificate alone will suffice or a driver's incense and a marriage certificate
B V (D ٨ M)
Answer:
Your teacher is correct.
Step-by-step explanation:
Common knowledge about coordinates:
The first number in a coordinate is the "x coordinate".
The second number is the "Y coordinate".
The X axis is the horizontal line.
The Y axis is the vertical line.
The origin is the middle of the two axis's.
For A, the x coordinate is -4. You go right on the horizontal line because it is a negative number. The y coordinate is 4, so you go up from -4 to 4 because it is a positive number. there, you'll get your coordinate (-4 , 4).
For B, because the x coordinate is 0, you don't move at all, and you stay on the x origin. The y coordinate is 6, so you go up from the origin to 6. There, you'll have (0, 6).
C is pretty self explanatory if you understand the concept.
