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1 year ago

The following graph shows a proportional relationship.

Mathematics

1 answer:

elena-s [515]1 year ago

8 0

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0. Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

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I need to simplify this (3x^2+2xy+4y^2) + (6x^2-5xy+3y^2) + (9y^2-25y^2)

Andreyy89

(3x² + 2xy + 4y²) + (6x² - 5xy + 3y²) + (9y² - 25y²)

Get rid of the parenthesis :)

3x² + 2xy + 4y² + 6x² - 5xy + 3y² + 9y² - 25y²

Add like terms.

(3x² + 6x²) + (2xy - 5xy) + (4y² + 3y² + 9y² - 25y²)

Simplify.

(9x²) + (-3xy) + (-11y²)

Get rid of the parenthesis.

9x² - 3xy - 11y²

~Hope I helped!~

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2 years ago

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insens350 [35]

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2 years ago

Find a formula for the described function. an open rectangular box with volume 9 m3 has a square base. express the surface area

Maru [420]

Let

x--------> the length side of the square base

h--------> the height of the box

we know that

the volume of the box is equal to

$V=x^{2} *h\\ V=9\ m^{3}$

$x^{2} *h=9\\\\h=\frac{9}{x^{2} }$

the surface area of the box is equal to

$SA=area\ of\ the\ base+perimeter\ of\ base*height$ (remember that the box is open)

area of the base= $(x^{2})\ m^{2}$

Perimeter of the base= $(4*x)\ m$

height=(h) m

$h=\frac{9}{x^{2}}$

substitute

$SA=x^{2} +4*x*h\\ \\ \\ SA=x^{2} +4*x*\frac{9}{x^{2} } \\ \\ SA=x^{2} +\frac{36}{x}$

we know that

the value of x can not be negative and the denominator can not be zero

therefore

the answer is

the domain of SA is x> 0

the domain is the interval-------------> (0,∞)

6 0

2 years ago

What is the decimal and percent of 1/3

lubasha [3.4K]

33 percent 0.33 that's your answer u could have divided 1 by 3

5 0

2 years ago

Read 2 more answers

-200p^2+12028p=180096

bekas [8.4K]

Answer:

Step-by-step explanation:

200 p²-12028p+180096=0

50 p-3007 p +45024=0

$p=\frac{3007 \pm\sqrt{(-3007)^2-4*50*45024} }{2*50} \\=\frac{3007 \pm \sqrt{9042049-9004800} }{100} \\=\frac{3007 \pm \sqrt{37249} }{100} \\=\frac{ 3007 \pm193}{100} \\p=32,28.14$

4 0

2 years ago