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3 years ago

A garden has a length of (x + 2) feet and a width of (2x - 1) feet. The garden’s total area is 88 square feet. Find the length.

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

Answer:

Length=x+2

Width=2x-1

Area of garden =length×width

88sq.ft=2x-1 × x+2

88sq ft=2x^2+3x-2

2x^2+3x-2=88

2x^2+3x-2-88=0

2x^2+3x-90=0

2x^2+(15x-12x)-90=0

x(2x+15)-6(2x+15)=0

(x-6)(2x+15)=0

x-6=0

x=6 eq.1

2x+15=0

2x=-15(since length cant come in negative so it would not be the value of x)

Since x=6 according to eq. 1 ,therefore

Length =x+2

Length=6+2

Length=8..

alexandr402 [8]3 years ago

5 0

Answer:

x= 29

Step-by-step explanation:

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Find the standard form of the equation for the circle with the following properties.

nataly862011 [7]

Answer:

$(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}$

Step-by-step explanation:

So, we know that the center of the circle is at (-6, -7/6).

To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.

Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).

So, find our distance by subtracting our x-values:

$d=r=0-(-7/6)$

Subtract:

$d=r=7/6$

So, our distance, which is also our radius, will be 7/6.

Now, we can use the standard form for a circle, which is:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:

$(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}$

We can confirm by graphing (using a calculator):

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3 years ago

Sabre uses the LIFO method of valuing inventory. On October 31, they sold 175 shredders. Find the cost of goods sold. Enter your

Tamiku [17]

Answer: The cost of goods sold= 5881.75

Step-by-step explanation:

Cost of available goods = 75x32.97 + 75x33.78 + 150x35.02= $10259.25

Units available= 150 + 75 + 75= 300

Sold units= 175

Ending inventory= 300-175=125

Value of ending inventory= 125x35.02= $4377.5

Cost of goods sold= cost of available goods – value of ending inventory

Cost of goods sold= 10259.25 – 4377.5= $5881.75

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3 years ago

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Sergio039 [100]

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3 years ago

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find the slope of the curve y=x^2-2x-5 at the point P(2,5) by finding the limit of secant slopes through point P

Fynjy0 [20]

The point (2, 5) is not on the curve; probably you meant to say (2, -5)?

Consider an arbitrary point Q on the curve to the right of P, $(t,y(t))=(t,t^2-2t-5)$ , where $t>2$ . The slope of the secant line through P and Q is given by the difference quotient,

$\dfrac{(t^2-2t-5)-(-5)}{t-2}=\dfrac{t^2-2t}{t-2}=\dfrac{t(t-2)}{t-2}=t$

where we are allowed to simplify because $t\neq2$ .

Then the equation of the secant line is

$y-(-5)=t(x-2)\implies y=t(x-2)-5$

Taking the limit as $t\to2$ , we have

$\displaystyle\lim_{t\to2}t(x-2)-5=2(x-2)-5=2x-9$

so the slope of the line tangent to the curve at P as slope 2.

- - -

We can verify this with differentiation. Taking the derivative, we get

$\dfrac{\mathrm dy}{\mathrm dx}=2x-2$

and at $x=2$ , we get a slope of $2(2)-2=2$ , as expected.

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3 years ago

Alfredo is buying a watch for $200. He will make an initial payment of $50 and

Bogdan [553]

Answer:

Step-by-step explanation:

There is nothing to choose from.

However, 200-50 down payment will leave 150 left on the watch. 150 divided 15 a month is 10 months.

200=50+15(n)

200=50+15(10)

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3 years ago