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3 years ago

PLZ HELP QUICKLY!!!!!!!

Mathematics

2 answers:

Serjik [45]3 years ago

8 0

To complete the square (x+2/5)^2 it would be x^2+(4/5)x+4/25

vlabodo [156]3 years ago

4 0

Answer:

$x^2+\frac{4}{5}x+\frac{4}{25}$

$\left(x+\frac{2}{5} \right)^2$

Step-by-step explanation:

Taking the middle coefficient:

$ax^2+bx+c$

$c=\left(\frac{b}{2} \right)^2$

$c=\left(\frac{\frac{4}{5} }{2} \right)^2$

$c=\left(\frac{4 }{10} \right)^2$

$c=\left(\frac{2 }{5} \right)^2$

$c=\frac{4}{25}$

Completing the square:

$x^2+\frac{4}{5}x+\frac{4}{25}$

$\left(x+\frac{2}{5} \right)^2$

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3 years ago

ales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150

Aneli [31]

Answer:

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Step-by-step explanation:

150/x=100/7

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4 0

3 years ago

Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird h

EastWind [94]

1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle: $A=wl$
where
$A$ is the area
$w$ is the width
$l$ is the length
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so $w=24$ and $l=48$ . Lets replace those values in our formula:
$A=wl$
$A=(24)(48)$
$A=1152$ square inches

Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: $A=2(wl+hl+hw)$
where
$A$ is the surface area
$w$ is the width
$l$ is the length
$h$ is the height
We already know those values, so lets replace them:
$A=2(5*5+8*5+8*5)$
$A=210$ square inches

Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.

2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.

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3 years ago