Answer:
What action finally led to the release of the Iranian-held American hostages?
influence of Iranian citizens
payment to the Iranian government
an attack by the United States and other nations
sanctions by the United States and other nations
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Answer:
![y =\dfrac{12}{5}x + 22](https://tex.z-dn.net/?f=y%20%3D%5Cdfrac%7B12%7D%7B5%7Dx%20%2B%2022)
Step-by-step explanation:
Slope-intercept form of line:
First find the slope of the line AB. ie, m
Slope of the perpendicular line = -1/m
(2 , 3) ⇒ x₁ = 2 & y₁ = 3
(-10, 8) ⇒ x₂ = -10 & y₂ = 8
![\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}](https://tex.z-dn.net/?f=%5Cboxed%7BSlope%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%7D)
![= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B8-3%7D%7B-10-2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B-12%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-5%7D%7B12%7D)
![\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}](https://tex.z-dn.net/?f=%5Csf%20slope%20%5C%20of%20%5C%20the%20%5C%20perpendicular%20%5C%20line%20%5C%20m_1%20%3D%20%5Cdfrac%7B-1%7D%7Bm%7D%3D%20-1%20%5C%20%5Cdiv%20%5Cdfrac%7B-5%7D%7B12%7D)
![\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}](https://tex.z-dn.net/?f=%5Csf%20%3D%20-1%20%2A%20%5Cdfrac%7B12%7D%7B-5%7D%3D%5Cdfrac%7B12%7D%7B5%7D)
Equation of the required line: y = mx + b
![y =\dfrac{12}{5}x+b](https://tex.z-dn.net/?f=y%20%3D%5Cdfrac%7B12%7D%7B5%7Dx%2Bb)
The line passes through (-5 , 10). Substitute in the above equaiton,
![10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\](https://tex.z-dn.net/?f=10%20%3D%5Cdfrac%7B12%7D%7B5%7D%2A%28-5%29%20%2B%20b%5C%5C%5C%5C%2010%20%3D%20%28-12%29%20%2B%20b%5C%5C%5C%5C)
10 + 12 = b
b = 22
Equation of the line:
![y =\dfrac{12}{5}x + 22](https://tex.z-dn.net/?f=y%20%3D%5Cdfrac%7B12%7D%7B5%7Dx%20%2B%2022)
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes