Answer:
The equation in the slope-intercept form is:
Step-by-step explanation:
Given the equation
We know that the slope-intercept form of a line equation is
where
Writing the equation in slope-intercept form
-2(3x+5y)=10
-6x -10y = 10
Add 6x to both sides
-6x -10y + 6x = 10 + 6x
-10y = 10 + 6x
Divide both sides by -10
-10y / -10 = (10 + 6x) / -10
y = -3/5x - 1
Thus, the equation in the slope-intercept form is:
Answer:
it is the third one
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
find perimeter (25 + 25 + 45 + 45 = 140)
divide your perimeter by 5 (140 ÷ 5 = 28)
therefore you need 28 fence posts
Answer:
The load weight is 2.29 N
Step-by-step explanation:
We note that at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;
∑M =0
∑F = 0
The parameters given are;
The distance of the load from the hinge = 35 cm
The distance of the load from the spring balance = 15 cm
The applied force on the spring balance = 4 N↑
The direction of the applied force on the spring balance = Upwards
Let the weight of the load = W↓
The direction of the weight of the load = Downwards
We use downward negative and upward positive coefficients for the forces
We take moment about the hinge as follows;
Sum of moments equals zero gives;
4 × (35 - 15) - W × 35 = 0
∴ 4 × (35 - 15) = W × 35
4 × 20 = W × 35
W = 4 × 20/35 = 2.29 N
The weight of the load = 2.29 N.
Answer: 
Step-by-step explanation:
Given: The area of a city = 598 square miles
The population of city = 21,500 people.
The population density for a city is given by :-
Hence, the population density of a city =
