On a scale drawing, the scale factor is 1/12. a plum tree is 7 inches tall on the scale drawing. what is the actual height of the tree?

The actual height of the tree is:

Step-by-step explanation:

When you see the scale reference in a drawing, you should denote that the first number reflects the measurement in the drawing, and the number after the two points reflects the actual height, handling the same units on both sides, therefore on the scale given by the exercise:

It means that for each inch in the drawing, it corresponds to 12 inches in reality, therefore, if it is known that the drawing has a 7-inch tree in the drawing, this value must be multiplied by 12 to know the actual size of the plum, then:

$12. that is my answer.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true