Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answers
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
Learn more about Equation of Line:
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Answer:
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Step-by-step explanation:
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Answer:
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hi i need to know if i did this correctly, thanks.
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Step-by-step explanation:
Hi,
Store A: y = 9p
Store B: y = 9p + 5
Store C: y = p + 5
Store D: y = p + f
Second Part:
Store A: T = 9n
Store B: T = 9n + 5
Store C: T = n + 5
Store D: T = p + f
I hope this helps :)
which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?
Answers
Hi there!
[tex]\large\boxed{\text{Center: (7,2); radius =} \sqrt{10}}}[/tex]
We know that the standard form of the graph of a circle is:
(x - h)² + (y - k)² = r²
Where:
h = x-coordinate of center
k = y-coordinate of center
r = radius
We can identify the following from the given equation:
(x - 7)² ⇒ h = 7
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Thus, the correct answer is C.
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Math Problem Below.
Match Each Expression from the column on the left to an equivalent expression in the column on the right.
Answers
1. 5a - 8b + 7b + 3a
→ 5a + 3a - 8b + 7b
→ 8a - b ★
2. -5a + 8b - 7b - 3a
→ -5a - 3a + 8b - 7b
→ -8a + b ★
3. 5a + 8b - 7b + 3a
→ 5a + 3a + 8b - 7b
→ 8a + b ★
4. -5a - 8b + 7b - 3a
→ -5a - 3a - 8b + 7b
→ - 8a - b ★
Final answers ;
[tex] \boxed {\sf { 5a - 8b + 7b + 3a = 8a - b } } [/tex]
[tex] \boxed {\sf { -5a + 8b - 7b - 3a = -8a + b } } [/tex]
[tex] \boxed {\sf {5a + 8b - 7b + 3a = 8a + b } } [/tex]
[tex] \boxed {\sf {-5a - 8b + 7b - 3a = - 8a - b} } [/tex]
5a – 8b + 7b + 3a
Solution:-5a – 8b + 7b + 3a
= 5a + 3a – 8b + 7b
= 8a – b ( Answer )
________________________________________________
Question:-–5a + 8b – 7b – 3a
Solution:-–5a + 8b – 7b – 3a
= –5a – 3a + 8b – 7b
= –8a + b ( Answer )
________________________________________________
Question:-5a + 8b – 7b + 3a
Solution:-5a + 8b – 7b + 3a
= 5a + 3a + 8b – 7b
= 8a + b ( Answer )
________________________________________________
Question:-–5a – 8b + 7b – 3a
Solution:-–5a – 8b + 7b – 3a
= –5a – 3a – 8b + 7b
= –8a – b ( Answer )
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Step-by-step explanation:
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Answers
Answer:
Cost of Kid's tickets =16.66
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Step-by-step explanation:
Adult Tickets=7
Kids Tickets=7
Both total = 50$
So 14 tickets =50$
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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have a great day.
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Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
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If we solve the equation we have
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a = +/-9
we take only the the positive value because a length can’t be negative
a = 9