<span>A diagonal cross section of a sphere produces a circle.
Regardless of how the sphere is cut, it will form a circle.
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A right triangular prism is a solid that has faces that consist of 2 equilateral triangles and 3 congruent rectangles. It is also described to have two parallel faces and 3 other faces that belong to the same place (and are not parallel to the parallel pair of faces).
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span> 6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 6x2-x-4</span>
The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span>
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is <span> -1 </span>.
<span><span> -24 + 1 = -23</span><span> -12 + 2 = -10</span><span> -8 + 3 = -5</span><span> -6 + 4 = -2</span><span> -4 + 6 = 2</span><span> -3 + 8 = 5</span><span> -2 + 12 = 10</span><span> -1 + 24 = 23
</span></span>
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span><span> 6x2 - x - 4 = 0 </span>
Scale factors of negative numbers are contractions
scale factors of numbers greater then 1 are expansions
scale factors of numbers greater then 0 but less then 1 are contractions
Answer:
(5, -3)
y= -3
x= 5
Step-by-step explanation:
-x-2y=1
x+y=2
solve the equation
-x-2y=1
x=2-y
substitute the value of x into an equation
-(2-y)-2y=1
remove parenthesis
-2-y-2y=1
subtract y to 2y
-2-y=1
add 2 from both sides
-y=3
divide both sides by -y
y= -3
substitute the value of y into an equation
x=2-(-3)
remove parenthesis
x=2+3
add 2 to 3
x=5
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(5,-3)
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