Evaluating all the given expressions using the standard order of operations is as below
How to Evaluate Algebra Expressions?
We are given that;
x = -2
y = -3
z = 5
A) The algebraic equation 2x + 3y + z gives;
2(-2) + 3(-3) + 5 = -5
B) x - y gives;
-2 - (-3) = 1
C) 2(x + y)/z gives;
2(-2 - 3)/5 = -2
D) 3x² - 2x + 1
f(-2) = 3(-2)² - 2x + 1
f(-2) = 17
E) 3y(x + x² - y)
3(-3)(-2 + (-2)² - (-3))
-9 * 5 = -45
F) -z²(1 - 2x)/(y - x)
Thus;
-5²(1 - 2(-2))/(-3 - (-2))
= 625
Read more about Algebra Expressions at; brainly.com/question/4344214
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<span>-7+9= -9 + 7 is false
cause
-7 + 9 = 2
-9 + 7 = -2
2 can't equal -2</span>
You first need to figure out if all the triangles are the same and multiply the hypotonus by 2 to get the length of the ladder
the length of the shortest ladder that will reach from the ground over the fence to the wall of the building would be :
16.65 Ft
i hope this helps you out
The volume of such a can with base radius

and height

would be

We desire the base's circumference and the can's height to add to 120, i.e.

Substituting this into

allows us to reduce the volume to a function of a single variable

:

Taking the derivative with respect to

yields

Set this equal to 0 and find any critical points:

This suggests the can will have maximum volume when its radius is

cm, which would give a volume of about 20,371 sq. cm.
Answer:
The least value plotted on the line plot is 18.0
The greatest value plotted on the line plot is 22.0
The height of inches occurs the most often is 19.5 with 3 times
Step-by-step explanation:
A line plot is a graph that shows frequency (the number of times the data value occurs) of data along a number line.
The line plot has dots plotted on it over each value of the number line.