Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
N would equal 28 since 60-32 is 28
Answer:
The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft
Step-by-step explanation:
Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.
We will then find the position to place the plant where the suns rays can get to the base of the plant
Note that the fence is in between the sun and the plant, therefore we have
Height of fence = 5 ft.
Angle of location x from the fence = lowest angle of elevation of the sun, θ
This forms a right angled triangle with the fence as the height and the location of the plant as the base
Therefore, the length of the base is given as
Height × cos θ
= 5 ft × cos 27.5° = 4.435 ft
The plant should be placed at a location x = 4.435 ft from the fence.
Answer:
he will walk about 8 miles
Step-by-step explanation:
