You can solve it by replacing the Y in the 2nd equation with the solved Y in the first.
4x + 2(3x-15)= 22
that should give you...
4x + 6x - 30 = 22
then combine like terms...
10x - 30 = 22
now we need to get X alone so add 30 to each side....
10x = 52
now divide both sides by 10..
X = 52\10
both are divisible by 2...
X = 26\5
you should be done unless you need Y as well then go back to the first and plug in what you found for X...
Y = 3(26÷5)- 15
and that should give you Y.
a 2nd method you can make your own answer by making x = 0 ..
Y= 3(0) -15
Y= -15
now put that in the 2nd for Y...
4x+ 2(-15) = 22...
4x-30= 22
add 30 to both sides..
4x = 52
divide by 4....
X = 13
now take this to the first for x...
Y= 3(15) - 15
Y = 30
you can check your work by plugging in the two on top and see if the final is the same..
30 = 3(15) - 15
the 2nd way is faster though of course..
anyway X= 13 Y= 30
130, - 12, 56.1, 11.2
these are all arithmetic sequences with n th term formula
= 
+ (n - 1 )d
where d is the common difference and the first term
(1)
d = 10 - 4 = 4 - (- 2 ) = 6 and = - 14
= - 14 + (24 × 6) = - 14 + 144 = 130
(2)
d = 14 - 16 = 16 - 18 = - 2 and = 22
= 22 + (17 × - 2 ) = 22 - 34 = - 12
(3)
= 2.2 + (49 × 1.1) = 2.2 + 53.9 = 56.1
(4)
= - 4.2 + (11 × 1.4 ) = - 4.2 + 15.4 = 11.2
Y= -75x +1725
y= -75(20) +1725
y = -1500 + 1725
y= 225 = range
225= -75x +1725
225 - 1725= -75x
-1500=-75x
-1500/-75 = -75x/-75
x = 20 = domain
X = number of hours traveled
Y = Total miles on the car
Y = 60x +45 000
for 13 hours
Y = 60(13) + 45 000
Y = 45 780
Answer:
The area of the pentagon is approximately 21 square units
Step-by-step explanation:
The radius of the circle in which the regular pentagon is inscribed, r = 3
The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;
A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)
Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈ 21
The area of the pentagon, A ≈ 21 square units.
