Since the first equation says y= x-4, substitution that for the y value in x + y = 6
x + x - 4 = 6
add up the x’s to get 2x - 4 = 6
add 4 to both sides to get 2x = 10
divide both sides by 2 to get x = 5
the x value is 5
then, to figure out the y value, substitute 5 for the x value in y = 5-4
the y value is 1
final answer: x = 5 and y = 1
hope this helped!!
Answer:
the rate of change of the distance from the particle to the origin at this instant = 3.33unit/secs
Step-by-step explanation:
The approach to solve the question involves , concept of rate of change in differentiation, implicit differentiation and appropriate substitution were made to get the rate of change of distance.
The steps are as shown in the attached file.
The feeders in battling machine are represented in proportions and fractions.
- The equation that represents the problem is:

- The feeder can hold <em>30 baseballs</em>, when full
The given parameters are:
<em />
<em> ------ 1/6 full</em>
<em />
<em> --- baseballs added</em>
<em />
<em> ---- 2/3 full</em>
<em />
So, the equation that represents the problem is:

So, we have:

The number of baseballs it can hold is calculated as follows:

Multiply through by 6

Collect like terms


Divide through by 3

Hence, the feeder can hold 30 baseballs, when full
Read more about proportions and fractions at:
brainly.com/question/20337104
Answer:
10
Step-by-step explanation:
10+3 = 13
13 x 7 = 91