Need help ASAP pls due in 5 mins

Mathematics

2 answers:

castortr0y [4]3 years ago

8 0

Answer:

Jonathan Broke what is he doing buying cheap stuff

stealth61 [152]3 years ago

5 0

Well i cant do nothing about it

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A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c

777dan777 [17]

Answer:

1250 $ft^{2}$

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = $-2Y^{2} +100Y$ .

The general form of a quadratic equation is $y=ax^{2}+bx+c$ .

The maximum value of a quadratic equation is given by $x=\frac{-b}{2a}$ .

Therefore, the greatest value of $-2Y^{2} +100Y$ is at Y = $\frac{-100}{2 \times -2}$ = $\frac{-100}{-4}$ = 25.

Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.

Hence, the area of the rectangle is XY = 50 × 25 = 1250 $ft^{2}$ .

3 0

3 years ago

Write an equation in slope intercept form to model the situation.

lozanna [386]

Answer:

$y=-\frac{1}{2}x + 10$

Step-by-step explanation:

Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term ( $x$ ) is the slope (change) of the line, and the constant is the y-intercept. In essence;( $y=mx+b$ ), where ( $m$ ) is the slope and ( $b$ ) is the y-intercept.

The slope of the given line is ( $-\frac{1}{2}$ ) because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is ( $\frac{1}{2}$ ) because this is the rate of burning, the slope is also negative since the height is decreasing. ( $10$ ) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is ( $y=-\frac{1}{2}x + 10$ ), where the output ( $y$ ) is the current height of the candle, and the input ( $x$ ) is the time at which the measruement was taken.