Answer:
(B) 18.
Step-by-step explanation:
We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).
First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.
We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.



Therefore, the perimeter of the given quadrilateral is 18 units.
Answer:
9.33 feet = 111.96 inches
Step-by-step explanation:
If we have similar triangles, the rate between matching sides is the same.
So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):
18 / 7 = 24 / x
x = 7 * 24 / 18
x = 9.33 feet
To find this measure in inches, we just need to multiply by 12:
x = 9.33 * 12 = 111.96 inches
ANSWER
D) 10
EXPLANATION
We want to solve the radical equation,

Square both sides,

Expand brackets on right hand side,

Rewrite in general quadratic equation form,

Factor to obtain,

Apply the zero product principle to get,

We put n=2 into the equation to get,


This statement is false, hence 2 is an extraneous solution
We put n=10, to get



This is true, hence the only solution is
Answer:
THIS IS A RIDDLE
Step-by-step explanation:
GO TO THE RIDDLE SECTION