The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. if the bloeprint is a rectangle 18inches by 22 inches, what are the dimensions of the yard

36x44 feet are the dimensions of the yard.

Step-by-step explanation:

Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.

i.e. scaling factor is 1/2 for one foot.

If real dimension is 1 foot, it is shown as 1/2 inch in blue print.

Using this we can find the real dimensions if given blue print dimensions.

The blueprint is a rectangle 18inches by 22 inches,

Hence real length of rectangle = 18(2) feet = 36 feet

Width of rectangle = 22(2) = 44 feet

i.e. the yard has dimensions as 36x44 feet.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.