Answer:
- (9.5, 6.5) and (-4.5, -7.5)
Step-by-step explanation:
Let the extended points be A' and B' and add the point M as midpoint of AB
<u>Coordinates of M are:</u>
- ((6 - 1)/2, (3-4)/2) = (2.5, -0.5)
Now point A is midpoint of A'M and point B is midpoint of MB'
<u>Finding the coordinates using midpoint formula:</u>
- A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)
- B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)
Hey there :)
We have two equations:
3a + 2b = 7
2a + 2b = 9
We need to solve simultaneously to find the values of a and b
eq.1 3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1 ) multiply by -1 to cancel 2b
3a + 2b = 7
- 2a - 2b = -9 ( Add both together )
-------------------
a = - 2 Substitute the value you found for a in a in order to find b
3( - 2 ) + 2b = 7 2( - 2 ) + 2b = 9
- 6 + 2b = 7 OR - 4 + 2b = 9
2b = 13 2b = 13
b =
b =
Ziad is 30 and marc is 10
Step-by-step explanation:
I have used substitution method here to find the value of x and y.
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

If we know that
and
, then:


The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:


If we know that
and
, then:


The length of BC is 51 units.