Answer:
x = -1, y = 2 and z = -4.
Step-by-step explanation:
-2x + 5y + 4z = -4 ......(A)
-5x - y + z = -1 .............(B)
2y + 2z = -4..................(C) Multiply (A) by 5 and (B) by -2:
-10x + 25y + 20z = -20 ....(D)
10x + 2y - 2z = 2 ..............(E) Adding D + E:
27y + 18z = -18 Dividing by 9:
3y + 2z = -2 ............(F) Subtract: (C) - (F):
-y = -2
y = 2.
Substitute for y is (C):
4 + 2z = -4
2z = -8
z = -4.
Substitute for y and z in (A):
-2x + 5(2) + 4(-4) = -4
-2x = -10 + 16 - 4 = 2
x = -1.
1.) Height of a coffee cup
2.) Kitchen tiles
3.) Height of a microwave
Answer:
Center = (4, -5)
radius = 6
======================================================
Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
Rewrite the given equation into this form
(x-4)^2 + (y- (-5))^2 = 6^2
We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.
Answer:
the answer is 3.71
Step-by-step explanation:
Answer:
The time of a commercial airplane is 280 minutes
Step-by-step explanation:
Let
x -----> the speed of a commercial airplane
y ----> the speed of a jet plane
t -----> the time that a jet airplane takes from Vancouver to Regina
we know that
The speed is equal to divide the distance by the time
y=2x ----> equation A
<u><em>The speed of a commercial airplane is equal to</em></u>
x=1,730/(t+140) ----> equation B
<u><em>The speed of a jet airplane is equal to</em></u>
y=1,730/t -----> equation C
substitute equation B and equation C in equation A
1,730/t=2(1,730/(t+140))
Solve for t
1/t=(2/(t+140))
t+140=2t
2t-t=140
t=140 minutes
therefore
The time of a commercial airplane is
t+140=140+140=280 minutes
