Answer:
m∠1 = 52°
m∠3 = 52°
Step-by-step explanation:
Step 1:
Since b is a straight line and is transversed by line m and we are given m∠6 = 128°, we can find m∠5, which is 180 - m∠6, giving us 52° for ∠5.
Step 2:
Because a and b are parallel, m∠5 and the m∠1 are the same, so we have m∠1 = 52° as one of our answers needed
Step 3: Because ∠3 is vertical to ∠1, we can use the vertical angles theory and say that m∠1 is equal to m∠3. Therefore, m∠3 = 52°
The answer: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Explanation:
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Given: " 4x⁴ − 24x³ + 36x² " ; The least common factor is: 4x² ;
since the least common NUMBER as a factor is "4"; and the least common "variable" as a factor is "x² " ;
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4x⁴ − 24x³ + 36x² = 4x² (x² − 6x + 9) ;
Factor the: "(x² − 6x + 9)" ;
(x² − 6x + 9) = (x − 3)(x − 3) ;
Rewrite: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
We have one point at (-5,-1) and there is another point at (1,-5)
The slope is
m= (y2-y1)/(x2-x1)
= (-5--1)/(1--5)
= (-5+1)/(1+5)
= -4/6
=-2/3
The point slope form of the equation is
y-y1 = m(x-x1)
y--1 = -2/3(x--5)
y+1 =-2/3( x+5)
Distribute
y+1 = -2/3 x -10/3
Subtract 1 from each side
y +1-1 = -2/3 x -10/3 -1
Get a common denominator
y = -2/3 x -10/3 -3/3
y = -2/3 x - 13/3
Answer:
r = 2
Step-by-step explanation:
