In summary. The graph of each equation is a straight line, m is the gradient of the line and c is the y-intercept. Conversely, if a straight line has gradient m and y-intercept c it has equation y = mx + c.
Answer: 19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the length of the ladder) and a and b are the other sides.
Replacing with the values given:
20^2 = (4 1/2)^2 + x^2
400=20.25 + x ^2
400-20.25 = x^2
379.75 = x^2
√379.75 = x
x = 19.48
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
Answer:
7 1-yard rolls
Step-by-step explanation:
1 yard = 36 inches.
6(42 in) = 252 inches.
252 in/36 in = 7
Therefore, 7 1-yard rolls are needed.
Answer: 24 grams of element would remain.
Step-by-step explanation:
Exponential function for decay:
....(i) , where A = initial value , b = decay factor, x = time , n= time per period
As per given,
A = 569 grams , 
n= 5 years, t = 23 years
Put all values in (i) , we get

Hence, after 23 years , 24 grams of element would remain.
Answer:
Step-by-step explanation:
6 -Question 13.4