Mathematics, 31.05.2021 20:30 maggiestevens5321

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Answer from: NehemiahPate2006

Answer and Step-by-step explanation:

We first need to solve for x, and by doing that, we would need to multiply the length and width of the shaded box, have it be subtracted by the area of the inside box, and then equal it to the area.

(6x * x) -[(x + 4)(x - 1)] = 40.

$6x^2 - x^2 -3x + 4 = 40\\\\Simplify\\5x^2 - 3x + 4 = 40\\\\$

Subtract 40 from both sides of the equation.

5x^2 - 3x - 36 = 0

Now, factor the equation.

$(5x+12)(x-3)\\$

Solve for x.

x = $\frac{-12}{5}$

x = 3

If we were to plug in $\frac{-12}{5}$ for the width of the flower bed rectangle, we would get a negative side value, which we know isn't possible.

So, x is equal to 3.

Now, we plug 3 in for the x values.

3 + 4 = 7

3 - 1 = 2

Finally, we multiply the sides to get the area.

7 * 2 = 14.

The area of the flowerbed is 14 m^2 .

#teamtrees #PAW (Plant And Water)

Answer from: Quest

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

= √(225 +64)

= √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

Hurry need your use the image below to answer the following question. find the value of sin x° and

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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