A, D and E are correct
given ( x - 4 ) is a factor then x = 4 is a root
the remainder on division by (x - 4 ) = 0 as indicated by the 0 on the right side of the quotient
(x - 4 ) is a factor of 3x² - 13x + 4 → A
the number 4is a root of f(x) = 3x² - 13x + 4 → D ( explained above )
thus 3x² - 13x + 4 ÷ (x - 4 ) = 3x - 1 → E
the quotient line 3 - 1 0
3 and - 1 are the coefficients of the linear quotient and 0 is the remainder
A'(-6, -10), B'(-3,-13), and C'(-5,-1) are the vertices of the ΔA'B'C' under the translation rule (x,y)→(x,y-3). This can be obtained by putting the ΔABC's vertices' values in (x, y-3).
<h3>Calculate the vertices of ΔA'B'C':</h3>
Given that,
ΔABC : A(-6,-7), B(-3,-10), C(-5,2)
(x,y)→(x,y-3)
The vertices are:
- A(-6,-7 )⇒ (-6,-7-3) = A'(-6, -10)
- B(-3,-10) ⇒ (-3,-10-3) = B'(-3,-13)
- C(-5,2) ⇒ (-5,2-3) = C'(-5,-1)
Hence A'(-6, -10), B'(-3,-13), and C'(-5,-1) are the vertices of the ΔA'B'C' under the translation rule (x,y)→(x,y-3).
Learn more about translation rule:
brainly.com/question/15161224
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The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.
I hope this helps.
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Y = 5<span><span>(x+<span>32</span>)^</span>2 </span>− <span><span>53/4 (the / is for fraction)</span></span>
