Answer:
£72
Step-by-step explanation:
So here you basically want to take to total amount earned and divide it by the amount of days worked and you should get your daily amount paid. (360/5=72)
Answer:
y = -1/2x + 6
Step-by-step explanation:
Find the slope
( 5 , 2) ( -3 , 6)
m =( y2 - y1 )/ ( x2 - x1)
x1 = 5
y1 = 2
x2 = -3
y2 = 6
m = ( 6 -2)/(-3 - 5)
m = 4/-8
m = - 1/2
Substitute m into the equation of a line
y = mx + c.
y = -1/2x + c
Substitute any of the two points given into the equation
Let's pick (2 ,5)
x = 2
y = 5
y = -1/2x + c
5 = -1/2(2) + c
5 = -1*2/2 + c
5 = -2/2 + c
5 = -1 + c
c = 5 + 1
c = 6
y = -1/2x + 6
The equation of the line is
y = -1/2x + 6
Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
Using the rule for 2x2 matrices,
the determinant for your matrix is
Answer:
Vertex is (-1/3, -13/3)
Axis of symmetry is x = -1/3
Step-by-step explanation:
For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k
Vertex form for this equation is:
Y = -6(x + 1/3)^3 - 13/3
To find the vertex, the formula is (h,k)
So, ( -1/3, -13/3)
