Answer: 24 units.
Step-by-step explanation: Count out how many units long AB is. AB goes from -3 to 3, for a length of 6 units.
Count out how long AC is. AC goes from 4 to -4, for a length of 8 units.
To find BC, use the Pythgorean theorem (a^2+b^2=c^2). 8^2 is 64, and 6^2 is 36. Add 64 and 36 to get 100. Then find the square root of 100, which is 10.
Add all the lengths. 6+8+10=24.
27 = 2x + 3
- 3 - 3
--------------------
24 = 2x
------ ------
2 2
12 = x or x = 12
Answer:
nooooo
Step-by-step explanation:
The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
<h3>How to factor the expression?</h3>
The expression is given as:
(q² − r²s) (q⁴ + q²r²s + r⁴s²)
Expand the expression
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)
Open the brackets
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³
Evaluate the like terms
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ - r⁶s³
Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
Read more about expressions at:
brainly.com/question/11994062
#SPJ1
<h3>Complete question</h3>
Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)
