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2 years ago

Use the perfect square trinomial identity to write this expression in factored form:

Mathematics

2 answers:

grandymaker [24]2 years ago

5 0

X^2 + 10x + 25
(X + 5)^2

cestrela7 [59]2 years ago

5 0

Answer:

${x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2}$

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the total cost of a belt and a jacket was $82.78 if the price of the belt was $0.86 less than the jacket what was the price of t

Aloiza [94]

B=bellt price
j=jacket price

b+j=82.78

belt is 0.86 less than jacket
b=j-0.86
add 0.86 to both sides
b+0.86=j
sub
b+b+0.86=82.78
2b+0.86=82.78
minus 0.86 from both sides
2b=81.92
divid both sides by 2
b=40.96

belt=$40.96

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3 years ago

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The ratio of girls to boys in Liza’s classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students

andrezito [222]

Answer:

$15\ girls$

Step-by-step explanation:

Let

x-----> the number of girls

y-----> the number of boys

we know that

$x+y=27$ -----> equation A

$\frac{x}{y}=\frac{5}{4}$

isolate the variable y

$y=\frac{4}{5}x$ -----> equation B

Substitute equation B in equation A

$x+\frac{4}{5}x=27$

$\frac{9}{5}x=27$

$x=5*27/9=15\ girls$

3 0

3 years ago

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Explain the steps to solve for n in the equation - n/4 + 3= 12 .

ludmilkaskok [199]

Answer:

n=-36

Step-by-step explanation:

Solve for n by simplifying both sides of the equation, then isolating the variable.

5 0

3 years ago

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Find the area of a rectangle with a base of 5 feet and a height of 9 1/2 feet

bija089 [108]

The area is 47.5 feet squared.

3 0

3 years ago

The area of a rectangular carpet is 252 square feet. The length is nine feet more than the width. Find the length and the width

Whitepunk [10]

Answer:

<h3>Length = 30 feet </h3><h3>Width = 21 feet </h3>

Given - Length is nine feet more

Area is 252

To find -  Value of length and width

Solution- 

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

Solving the equation by splitting middle term

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21

3 0

2 years ago