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2 years ago

2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100

Mathematics

1 answer:

Ahat [919]2 years ago

7 0

Answer:

b = 40 and -40

General form of Perfect square trinomial is

Therefore from

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, then

take consideration a=4x and b=-5 (different sign), then

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The perfect square is

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if we consider a=4x and b=5 (same sign), then

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The perfect square is

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The first solution

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is the best solution after comparing the expression given.

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Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence

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For this case we have that by definition, the area of a rectangle is given by:

$A = w * l$

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is $P = 2w + 2l = 24.$

Amy:

$l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6$

Thus, Amy's fence area is: $A = 6 * 6 = 36 \ ft ^ 2$

Zach:

$l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4$

Thus, the area of Zach's fence is: $A = 4 * 8 = 32 \ ft ^ 2$

Answer:

Amy's garden has a greater area

$36 \ ft ^ 2-32 \ ft ^ 2 = 4ft ^ 2$ , is $4 \ ft ^ 2$ greater

5 0

4 years ago

Read 2 more answers

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

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2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100​

2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100