Answer:
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Step-by-step explanation:
First consider the slope of this equation we must derive;
Slope Formula = Rise / Run,
y2 - y1 / x2 - x1 ⇒
5 - ( - 5 ) / 4 - ( - 3 ) ⇒
10 / 7 ⇒ Slope : 1 3 / 7
So far we can formulate an equation as such;
y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>
Given one of the points, substitute into this equation solving for b;
5 = 1 3 / 7 * ( 4 ) + b,
5 = 40 / 7 + b,
b = - 5 / 7
From this we can derive one point - slope from equation to be :
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
(2a-1 )exponent two•(3a + 2) exponent 2• (4a-3) exponent 2
Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
x = 450/tan 22 = 1,113.79
Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet
Answer:
hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...
June 30, 1861: Battle of Philippi. ...
July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...
August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...
October 21, 1861: Battle of Ball's Bluff. ...
November 7, 1861: Battle of Belmont. ...
January 19, 1862: Battle of Mill Springs.
