Answer:
29.15 km
Step-by-step explanation:
Given;
George walks; 25km west and then 15 km south
Resolving the directions to x and y axis;
North and South represent positive and negative y axis.
East and West represent positive and negative x axis respectively.
25km west
Rx = -25 km
15 km south
Ry = -15 km
The resultant displacement from the house is;
R = √(Rx^2 + Ry^2)
Substituting the values;
R = √((-15)^2 + (-25)^2)
R = √(225+625)
R = √(850)
R = 29.15 km
Therefore, he is 29.15 km from house
The answer is the first chart which would be A
Answer:
<h3>y=4x+3</h3>
Step-by-step explanation:
m =4
![(-2,-5)=(x_1,y_1)](https://tex.z-dn.net/?f=%28-2%2C-5%29%3D%28x_1%2Cy_1%29)
Substitute values into slope intercept form
![y-y_1=m(x-x_1)\\\\y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8\\\\y=4x+8-5\\\\y=4x+3](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cy-%28-5%29%3D4%28x-%28-2%29%29%5C%5C%5C%5Cy%2B5%3D4%28x%2B2%29%5C%5C%5C%5Cy%2B5%3D4x%2B8%5C%5C%5C%5Cy%3D4x%2B8-5%5C%5C%5C%5Cy%3D4x%2B3)
Since the percent lost per hour is constant, this is a linear equation, and the slope-intercept form of a linear equation is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where <em>m</em> is the slope and <em>b</em> is the intercept.
In this case, we want to formulate how much percentage is left based on how many hours have passed, so the percent left is dependent upon the time passed. This means that the dependent quantity is the percent of battery life left, and this will be variable <em>y</em>.
Answer:
y=-3/9x+3
Step-by-step explanation:
The equation should be in y=mx+c form. The m is the slope and the c is the y intercept. You follow this equation to find the slope. y1-y2/x1-x2.