a, b, c - sides of a triangle
Therefore:
a + b > c
a + c > b
b + c > a
---------------------------------
We have a = AB, b = 140mi, c = 100mi.
(1) a + b > c
AB + 140 > 100 <em>subtract 140 from both sides</em>
AB > -40 → AB > 0
----------
(2) a + c > b
AB + 100 > 140 <em>subtract 100 from both sides</em>
AB > 40
-----------
(3) b + c > a → a < b + c
AB < 140 + 100
AB < 240
<h3>Answer: 40 < AB < 240</h3>
A recent municipal call ordinance that prohibits emergency vehicles from being blocked in gridlock delivers a strong warning to drivers.
<h3>What are jumbled Sentences?</h3>
The grammar exercise in which we rearrange the words in an abrupt manner for the reader to arrange them back is known as jumbled sentences.
The reasoning behind Correct Answer C: This sentence's mistake can be seen at (C), where the subject and verb dispute. The solitary subject, "The uncompromising tone," cannot be referred to by the plural verb "carry." It must use the singular verb "carries."
The reason given for Wrong Answer A: Nothing is wrong here (A). The noun "tone" is appropriately modified by the adjective "uncompromising."
The reason given for Wrong Answer B: Nothing is wrong here (B). The ordinance, the noun that comes before it, is correctly modified by the participle "concerning."
Justification for Wrong Answer D: Nothing is wrong here (D). A stern warning is correctly connected to the noun "motorists" by the preposition "to."
Justification for Wrong Answer E: The statement contains a typo.
To learn more about Jumbled Sentences, visit:
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Because I see a graph in the picture, I am assuming you need to graph the equations. The two equations are in slope-intercept form. They are in the form
y = mx + b
Where m is the slope and b is the y-intercept. That is why it is called the slope-intercept form.
If you want to graph a slope-intercept form equation, first plug in a value for x then compute it to get the y-coordinate.
First, let's get some points with the equation y = 4x + 3
We will plug in three values for x. 0, 1, and 2.
When x = 0
y = 4(0) + 3
y = 3
When x = 1
y = 4(1) + 3
y = 7
When x = 2
y = 4(2) + 3
y = 11
Now we have the points (0, 3), (1, 7), and (2, 11)
These points are called ordered pairs. Where the first number is the x-coordinate and the second number is the y-coordinate.
The ordered pairs tell you how many times you move your point away from the origin. The origin is (0, 0).
The first number of an ordered pair tells you how many times to move in the x direction and the second number how many times in the y direction.
Now graph the second equation. y = -x - 2
Just plug in some values for x.
I picked 0, 1, and 2.
When x = 0
y = 0 - 2
y = -2
When x = 1
y = -1 - 2
y = -3
When x = 2
y = -2 - 2
y = -4
Now we have the points (0, -2), (1, -3), and (2, -4)
Now plot those points and draw a line through them.
If you need to find the intersection of the equations y = 4x + 3 and y = -x - 2 you need to find where they intersect. Or in other words, share a common point.
After playing around with the numbers, I got the intersection point for the both of the equations.
It is the ordered pair (-1, -1). This the solution to both of the equations. If you plug in the ordered pairs into both of the equations, they will show it belongs to their graphs.
Plug in the values for y = 4x + 3
-1 = 4(-1) + 3
-1 = -4 + 3
-1 = -1
Plug in the values for y = -x - 2
-1 = -(-1) - 2
-1 = 1 - 2
-1 = -1
So, this ordered pair is on both equations!
The correct answer is Diameter
Answer:
-2
Step-by-step explanation:
