Answer:
Step-by-step explanation:
x + y = 7 ------------(I)
y = 7 - x ------------(II)
x + 2y = 11 --------------(III)
Substitute y = 7 - x in equation (III)
x + 2 * (7 -x) = 11
x + 2*7 - 2*x = 11
x + 14 - 2x = 11
x - 2x + 14 = 11
- x + 14 = 11
Subtract 14 from both side
-x = 11 - 14
-x = -3
Multiply both sides by (-1)
x = 3
Substitute x=3 in equation (II)
y = 7 - 3
y = 4
Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.
Answer:
8√5 units.
Step-by-step explanation:
See the diagram in the coordinate plane attached.
A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.
The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).
Therefore, side length of the rhombus will be
units.
So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)
The distance between two points 
and 
on a coordinate plane is given by
Answer:
50 dollars
Step-by-step explanation:
college website
The slope (m) = -13.
We can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let (x1, y1) = (7, 26)
(x2, y2) = (12, -39)
Plug in the values into the formula:
m = (y2 - y1) / (x2 - x1)
m = (-39 - 26) / (12 - 7)
m = -65/5
m = -13
