The equation of a line that is parallel to 3x=4y and has the same y-intercept as 2x-3y=6 is:
y = (3/4)*x - 2
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How to get the equation of the line?</h3>
A general linear equation is written as:
y = a*x + b
Where b is the y-intercept and a is the slope.
Such that two lines are parallel if the lines have the same slope but different y-intercepts.
So, if we want to have a line parallel to:
3x = 4y
y = (3/4)*x
Then the slope must be 3/4.
And the line must have the same y-intercept than:
2x - 3y = 6.
We can rewrite that to get:
-3y = 6 - 2x
y = (6/-3) + (2/3)*x
y = (2/3)*x - 2
So this linear equation has a y-intercept equal to -2, then our linear equation is:
y = (3/4)*x - 2
If you want to learn more about linear equations:
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Answer:
c. 6x6
Step-by-step explanation:
because 6x6 is =36
What do you mean?????????????
Answer:
The sentence which accurately completes the proof is: "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem." ⇒ 2nd answer
Step-by-step explanation:
Let us revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
In Parallelogram ABCD
∵ Segment AB is parallel to segment DC
∵ Segment BC is parallel to segment AD
- Construct diagonal A C with a straightedge
In Δs BCA and DAC
∵ AC is congruent to itself ⇒ Reflexive Property of Equality
∵ ∠BAC and ∠DCA are congruent ⇒ Alternate Interior Angles
∵ ∠BCA and ∠DAC are congruent ⇒ Alternate Interior Angles
- AC is joining the congruent angles
∴ Δ BCA is congruent to Δ DAC by ASA Theorem of congruence
By CPCTC
∴ AB is congruent to CD
∴ BC is congruent to DA
The sentence which accurately completes the proof is: "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem."
i think its pi because im smarts thats why