Answer:
160 2p coins
Step-by-step explanation:
3/8 x 640 = 240 = 1p coins
240 = 5p coins
240 + 240 = 480
640 - 480 = 160
I might be wrong in this one but I am certain to the right Is definitely -3. If I get it wrong can you tell me what I got wrong to improve from my mistakes.
Answer: 42°
<u>Step-by-step explanation:</u>
HJ is an angle bisector of ∠IHK so
∠IHJ ≅ ∠KHJ ⇒ m∠IHJ = m∠KHJ
3a + 6 = 5a - 18
6 = 2a - 18
24 = 2a
12 = a
∠IHJ = 3a + 6
= 3(12) + 6
= 36 + 6
= 42
Answer:
C and D
Step-by-step explanation:
Equating the line A and the parabola, we get
-3x + 2 = x² - 3x + 4
0 = x² - 3x + 4 +3x - 2
0 = x² + 2
-2 = x²
which has no real solutions. Then, the line A and the parabola don't intersect each other.
Equating the line B and the parabola, we get
-3x + 3 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 3
0 = x² + 1
-1 = x²
which has no real solutions. Then, the line B and the parabola don't intersect each other.
Equating the line C and the parabola, we get
-3x + 5 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 5
0 = x² - 1
1 = x²
√1 = x
which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.
Equating the line D and the parabola, we get
-3x + 6 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 6
0 = x² - 2
2 = x²
√2 = x
which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.
Answer:
2.7 miles
Step-by-step explanation: