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3 years ago

The dimensions of a rectangle can be given by x+9 and x-2. If the area is 60ft^2, what is the value of X?

Mathematics

1 answer:

Veronika [31]3 years ago

6 0

Answer:

Step-by-step explanation:

(x + 9) * (x - 2) = 60

x^2 - 2x + 9x - 18 = 60

x^2 + 7x - 18 = 60

x^2 + 7x = 78

FACTORING:

x(x + 7) = 78

x = 6

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The equation of the graphed line 2x + 3y = -6 written in standard form is, $\rm y= -\frac{2}{3}x -2$ and for line 2x + 3y = 6 will be, $\rm y = \frac{-2}{3}x+2$

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

$3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2$

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

$\rm 3y= 6-2x \\\\ y= \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2$

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is, $\rm y= -\frac{2}{3}x -2$

To learn more, about equations, refer;

brainly.com/question/10413253

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What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

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2 years ago

A cone's height is equal to the radius of its base. The area of its base is 1,386 square units. The approximate radius of the co

maxonik [38]

Answer:

21 units
9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

A = πr²

so the radius is ...

r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

The volume is given by ...

V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

V = (1/3)(1386)(21) = 9702 . . . . cubic units

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4 years ago

HELP WILL GIVE BRAINLESS Which choice is equivalent to the fraction below? (Hint: Rationalize the

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Answer:

C. $\sqrt{x + 2} - \sqrt{x}$

Step-by-step explanation:

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3 years ago