Answer: 9" by 7"
Step-by-step explanation:
let the dimensions of the rectangle be x and y
equation 1: xy=63
equation 2: 2(x+y)=32
first, rearrange the terms
(1′): y=63/x
(2′): y=16−x
(1′)-(2′): 0=63/x−16+x
multiply the equation by x
0=x2−16x+63
0=(x−9)(x−7)
so x = 7 or x = 9
from this, y = 9 when x = 7 and y = 7 when x = 9
so, the dimension of the rectangle is 9″ by 7″
F(x) = 2x+1
f(-4) = 2(-4)+1
= -8+1
= -7
i hope it helps
answer.11.5
by the rule of bodmas first add and sunstract and divided
Answer: 36 square units
Step-by-step explanation:
Divide the figure into 2 shapes: a rectangle and a triangle. Count the squares to find the dimensions of each figure. The rectangle has a width of 4 units and a length of 6 units. The triangle has a base of 6 units and a height of 4 units.
The formula for the area of a rectangle is length * width. The area of the rectangle is 4*6 = 24 square units.
The formula for the area of a triangle is (base * height)/2. The area of the triangle is (4*6)/2 = 24/2 = 12 square units.
Add the areas of both the rectangle and triangle. 24+12 = 36 square units.
Step-by-step explanation:
9x+4=15
9x=15-4
9x=11
x=11/9 or 1 2/9