Answer:
x = -1 and y = -1.
Step-by-step explanation:
The given system of equations are :
y = 4x + 3 ....(1)
y = -x - 2 ....(2)
From equation (1) and (2) :
4x + 3 = -x - 2
Taking like terms together,
4x + x = -3 -2
5x = -5
x = -1
Put the value of x in equation (1)
y = 4(-1) + 3
= -1
The solution is also shown in the attached figure. Hence, the solution is x = -1 and y = -1.
Answer:
350 sq ft
Step-by-step explanation:
Given that:
840 sq ft area has a bedroom, kitchen and bathroom.
Let the area of bedroom be sq ft.
Then the area of kitchen will also be sq ft.
Let the area of bathroom be sq ft.
As per question statement:
Tiles ordered to cover two kitchens and two bathrooms is 980 sq ft.
i.e.
Subtracting equation (1) from (2):
i.e. (2) - (1):
sq ft
Putting the value of in (1):
Therefore, the carpet needed for each bedroom = <em>350 sq ft</em>
Answer:
The area of the shaded region is
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of the rectangle
so
we have
substitute the values
----> exact value of the shaded area