Answer:
A.) y = 0.4x^(2) + 3.4x + 4
Step-by-step explanation:
x = -5
y = -3
The formula of the perimeter of a rectangle is 2l+2w so look at the photo
(2x - 1)(x + 2y - 3) =
2x(x + 2y - 3) + (-1)(x + 2y - 3) =
2x^2 + 4xy - 6x - x - 2y + 3 =
2x^2 + 4xy - 7x - 2y + 3
Answer:12.1
Step-by-step explanation:
Angle D=180-(82+52)
Angle D=180-134
Angle D=46
Using sine rule
e/sinE=d/sinD
e/sin52=11/sin46
e/0.7880=11/0.7193
e/0.7880=15.29
Cross multiply
e=15.29 x 0.7880
e=12.05
e=12.1 approximately
If a = first term and r = common ratio we have
a + ar + ar^2 = 13 and ar^2 / a = r^2 = 9
so r = 3
and a + 3a + 9a = 13
so a = 1
so they are 1,3 and 9
2.
in geometric series we have
4 , 4r ,4r^2 , 60
Arithmetic;
4, 4r , 4r + d , 4r + 2d
so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30
so d = 30 - 2r
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0
2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24
and the numbers are 4*3 = 12 , 4*3^2 = 36
first 3 are 4 , 12 and 36 ( in geometric)
and last 3 are 12, 36 and 60 ( in arithmetic)
The 2 numbers we ause are 12 and 36.
