Answer:
-2x-7y=-4
Step-by-step explanation:
5x+-7x=-2x
-9y+2y=-7y
1+-5=-4
So -2x-7y=-4
Answer:
(-3,-11)
Step-by-step explanation:
Compare the given quadratic equation with the general quadratic equation.
a=1, b=6 and c=-2
Subsitute for in given quadratic equation.
The minimum point is (-3,-11).
Answer:
Step-by-step explanation:
m ∠XOY = m ∠WOV
so, m XY = m WV --- (i)
{ If angle subtended by two arcs at the center are equal, then length of arc are equal}
m YZ = m ZW ------- (ii) {given}
Add (i) and (ii)
XY + YZ = WV + ZW
XZ = ZV
Hence proved.
I believe they are: (2,8), (4,6), (1,7), and (3,5) I could be wrong, but I'm almost certain that's it. Hope that helps.
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32