Answer:
x=17
Step-by-step explanation:
(5x-58)=(2x-7) ->(because of cosine-rule)
3x=51
x=17
Answer:

Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,




When automobile is 30 miles past the intersection,
For x = 30

Since 
Therefore,


Answer:
The equation to determine the number of days Margo has owned the plant is
.
Step-by-step explanation:
Given:
Actual length of the tree = 5 cm
Current length of the tree = 65 cm
Per day growth Rate of plant = 2.5 cm
Let number of days she owned the plant be 'x'
Now We can say that,
Current length of the tree is equal to sum of Actual length of the tree and Per day growth Rate of plant multiplied by number of days she owned the plant.
Farming the above sentence in equation form we get;

Hence the equation to determine the number of days Margo has owned the plant is
.
Answer:
m + 2
2 dollars + one dollar per minute
It takes at least 12 hours for the newer machine to make 10,000 cans