-43 - 4r = 3 - 27r
Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3
Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.
Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2
r = 2
The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
<h3>How to express in standard form?</h3>
The expression is given as:
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Collect the like terms
8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³
Evaluate the like terms
7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³
Rewrite in standard form
n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Read more about expressions at:
brainly.com/question/723406
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Question 1:
Since the triangles are congruent, we know that QS = TV
This means that
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8 AND TV = 8
Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.
Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides.
In order for us to prove congruence by SAS, AD must be congruent to BC.
Have an awesome day! :)
You are inversing for subtraction which is addition so D
