Number 1: To find number 1 use hypotenuse theory. 180-(69+31) is the equation. After you solve it you get m<1 as 80.
Number 2: Since you already found m<1 find the other angle across from it.
Equation is: 180-80, which equals to 100.
Then once you have two angles use the theory again: 180-(100+45)=35.
Therefore m<2=35.
Number 3: Still using m<1, 180-100=80. Now you have to angles you get the equation:
180-(80+47), which equals to 53. Therefore m<3=53
Answers: m<1=80; m<2=35; m<3=53
Step-by-step explanation:
slope formula when it's perpendicular : m1 × m = -1
Now Differentiate the quadratic function given.
d/dx ( x^2 - x + 1 ) at an x value of -1 from the point "(-1 , 3 )"
= 2x - 1 .... plug in the x value
= 2 × -1 - 1 = -3.
Use this equation...
y - y1 = m(x - x1)
m = slope = derivative at x = -1
y1 = value found by subbing -1 into the original function
x1 = the x value often given.
y - 3 = 1/3 (x + 1)
= 1/3x + 1/3 + 3
y = 1/3x + 10/3.
not sure about this one - it probably intersects at the x & y intercepts of the equation of the normal line.
y = 0 + 10/3 = 10/3
1/3x = 0 - 10/3
x = -10/3 / 1/3 = -10
so the point .... (-10 , 10/3)
x ≤ -2
Step-by-step explanation:
<span>272mi/68mi/hr= 4 hr
Example:
Calculate the acceleration of a boat that has been cruising at 15 m/s but speeds up to 45 m/s in about 6 seconds. Don’t forget your units, m/s2. In order to calculate the acceleration of the boat we first have to identify the suited formula for acceleration in this scenario. </span>
<span>Hence, a = vf – vi / t. Vi = 15 m/s Vf = 45 m/s T = 6 seconds </span>
<span>Solution: </span>
<span>A = 45 m/s – 15m/s / 6s </span>
A = 5m/s^2<span>
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