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Lynna [10]
3 years ago
5

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basem

ent is Ask Your Teacher its length. What is the length of Louis’s basement?
Mathematics
1 answer:
Over [174]3 years ago
7 0
29.3938769134 ft

Take the radical of 864 to get an answer based on the limited info provided.
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Which table contains the vertex of the graph represented by y=x^2-6x+4?
Vaselesa [24]

vertex = (3,- 5 )

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² - 6x + 4 is in standard form

with a = 1, b = - 6 and c = 4, hence

x_{vertex} = - \frac{-6}{2} = 3

substitute this value into the equation for y- coordinate

y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5

vertex = (3, - 5 ) → second table




7 0
3 years ago
{(-5,9),(2, 31), (9, 143), (11, 151),(0, 42),(5, 97)}
wlad13 [49]

The number 7 is the best prediction of the output when the input is 13.

<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The equation of the line is found as;

\rm y-y_1=  \frac{y_2-y_1}{x_2-x_1}      \\\\ \rm y-9=                                         \frac{31-9}{2+5} (x+5)\\\\ 7y-63 = \frac{31-9}{2+5} (c+5)\\\\ 7y-63=22x+110\\\\ 7y= 22x+173 \\\\ but ,x=13\\\\ 7y=22 \times 13 +173\\\\ y= \frac{1259}{7} \\\\ y= 179

Learn more about straight line equation here:

brainly.com/question/380976

#SPJ1

8 0
2 years ago
Write an equation to represent the direct proportional relationship between the amount of gratuity (9) received by a room servic
AleksandrR [38]

Oh wait this is confusing.. i think somebody asked this question and got it answered

so search it up on here

3 0
3 years ago
Read 2 more answers
a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers
gizmo_the_mogwai [7]

Step-by-step explanation:

  • Let x be the smallest integer
  • Let 2x be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}

\mathrm{Multiply\:by\:LCM=}16x

\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x

Simplify

24=3x

\mathrm{Switch\:sides}

3x=24

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3x}{3}=\frac{24}{3}

x=8

So,

2x=16

<h2>Verification:</h2>

\frac{1}{8}\:+\:\frac{1}{16}

\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16

=\frac{2}{16}+\frac{1}{16}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{2+1}{16}

=\frac{3}{16}

Therefore,

\frac{1}{8}+\frac{1}{16}=\frac{3}{16}

Keywords:  word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

#learnwithBrainly

4 0
3 years ago
Find the X-Intercepts of <br> y=-x^2-2x+1
bekas [8.4K]

Answer:

(1,0)

Step-by-step explanation:

we can't factor this so we'll use the quadratic formula

\frac{-b+\sqrt{b^2-4ac} }{2a}\\\frac{-b-\sqrt{b^2-4ac} }{2a}

(use both of them because usually there  are two zeroes)

We have

\frac{2+\sqrt{4-4}}{2}=\frac{2}{2}=1

Therefore the x intercept is just (1,0)

6 0
3 years ago
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