All categories

3 years ago

The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.

Mathematics

1 answer:

Serggg [28]3 years ago

7 0

Answer:

length = 8

width = 4

Step-by-step explanation:

Area = length x breadth

Let x represent the width

length = x + 4

32 = x × (x + 4)

32 = x² + 4x

x² + 4x - 32 = 0

solving using quadratic equation =

(x² - 4x) -32 + 8x

x = 4 or -8

since width cannot be a negative number, we would use 4

You might be interested in

Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art

mash [69]

I’m pretty sure the answer is 8 inches :) mark as brainleist pls

3 0

3 years ago

Ten " subtracted from twice a number" is

Sauron [17]

Answer:

ten " subtracted from twice a number" is...so 20- 10=10

10-5=5

Step-by-step explanation: I don't really understand this question sorry if I got it wrong!

Have a Great Day or Night! :)

7 0

3 years ago

Y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

Luda [366]

$\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-6)}}}\implies \cfrac{3}{3+6}\implies \cfrac{3}{9}\implies \cfrac{1}{3}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{3}}[x-\stackrel{x_1}{(-6)}] \implies y-1=\cfrac{1}{3}(x+6) \\\\\\ y-1=\cfrac{1}{3}x+2\implies y=\cfrac{1}{3}x+3$

6 0

3 years ago

The 24 students in Mr. Brown’s homeroom sold 72 magazine subscriptions and 28 students and Mrs. Garcia’s homeroom so 98 magazine

ladessa [460]

Mrs. Garcia sold more

8 0

4 years ago

Read 2 more answers

Does anyone know how to do this by solving with substitution

IRISSAK [1]

Answer:

Step-by-step explanation:

Question 1

System of equations is,

y = -6x -------(1)

y = -4x - 2 ---------(2)

Substitute the value of y from equation (1) to equation (2)

-6x = -4x - 2

-6x + 4x = -2

-2x = -2

x = 1

From equation (1)

y = -6(1)

y = -6

Question (2)

System of equations is,

-y = x --------(1)

3x + 5y = 20 ---------(2)

Substitute the value of x from equation (1) to equation (2)

3(-y) + 5y = 20

-3y + 5y = 20

2y = 20

y = 10

From equation (1)

-y = x

x = -10

Question (3)

System of the equations is,

y = -2x - 7 --------(1)

9x - 10y = 12 ----------(2)

Substitute the value of y from equation (1) to equation (2)

9x - 10(-2x - 7) = 12

9x + 20x + 70 = 12

29x = 12 - 70

29x = -58

x = -2

From equation (1)

y = -2(-2) - 7

y = 4 - 7

y = -3

8 0

3 years ago