Since the jet bomber arrived over its Target at the same time as its fighter jet escorted, it took the jet bomber 0.34 h to reach the target.
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To find the number of hours, we need to solve simultaneous equations.
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What are simultaneous equations?</h3>
Simultaneous equations are pair of equations which contain two unknowns.
<h3>How to calculate the number of hours the bomber jet took off?</h3>
Let
- D = distance travelled by both bomber jet and fighter jet.
- t = time bomber jet took off
- v = speed of bomber jet.
- T = time fighter jet took off and
- V = speed of fighter jet.
So, D = vt
D = 500t (1)
Also, D = VT
D = 60T (2)
Since jet bomber traveling 500 mph arrived over its Target at the same time as its fighter jet escorted which left the same fate 2.5 hours after the bomb took off.
T = t + 2.5
So, D = 60(t + 2.5) (3)
<h3>
The required simultaneous equations</h3>
D = 500t (1)
D = 60(t + 2.5) (3)
Equating equations (1) and (3), we have
500t = 60(t + 2.5)
500t = 60t + 150
500t - 60t = 150
440t = 150
t = 150/440
t = 15/44
t = 0.34 h
So, it took the jet bomber 0.34 hours to reach the target.
Learn more about simultaneous equations here:
brainly.com/question/27829171
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Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Times both sides by -1
-8x=x²-20
add 8x both sides
0=x²+8x-20
factor
what 2 numbers multiply to get -20 and add to get 8
-2 and 10
0=(x-2)(x+10)
set to zero
x-2=0
x=2
x+10=0
x=-10
x intercepts at x=-10 and 2 or at the points
(-10,0) and (2,0)
Answer:
The integer is -65
Step-by-step explanation:
Hope that helps