3 years ago

Which statement is true?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

All recatangles have 4 angles which are 90°. Though all squares are rectangles, remember, not all rectangle are squares

Hope this helps, Bye!

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(1 point) For the equation given below, evaluate ′ at the point (−1,2). (5−)^4+4^3=2433. ′ at (−1,2) =

ryzh [129]

Answer:

$\dfrac{343}{71}$

Step-by-step explanation:

Given the equation

$(5x-y)^4+4y^3=2433$

Find the derivative:

$((5x-y)^4+4y^3)'=(2433)'\\ \\4(5x-y)^3\cdot (5x-y)'+4\cdot 3y^2\cdot y'=0\\ \\4(5x-y)^3\cdot (5-y')+12y^2y'=0$

Substitute

$x=-1\\ \\y=2,$

then

$4(5\cdot (-1)-2)^3\cdot (5-y')+12\cdot 2^2\cdot y'=0\\ \\4(-5-2)^3(5-y')+48y'=0\\ \\4\cdot (-7)^3\cdot (5-y')+48y'=0\\ \\-1,372(5-y')+48y'=0\\ \\-6,860+1,372y'+48y'=0\\ \\1,420y'=6,860\\ \\y'=\dfrac{6,860}{1,420}=\dfrac{686}{142}=\dfrac{343}{71}$

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All this means the answer is A.

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