All categories

4 years ago

the area of a rectangle is 99ft^2,and the L is 7ft more than twice the width. find the dimension of the rectangle.

1 answer:

3 0

A = L * W
A = 99
L = 2W + 7

99 = W(2W + 7)
99 = 2W^2 + 7W
-2W^2 - 7W + 99 = 0
(-2W + 11)(W + 9) = 0

-2W + 11 = 0
-2W = -11
W = -11/-2
W = 5.5

W + 9 = 0
W = -9 .....not this one because it is negative

so the width (W) = 5.5ft <====
L = 2W + 7 .....2(5.5) + 7 = 18 ft is the length (L) <==

You might be interested in

On the sea,distances are measured in nautical miles rather than miles.

Musya8 [376]

A. 97,280 feet

B. 18.42mph

3 0

3 years ago

If f(x)= -4x - 11, find f(5) + 2

Kay [80]

Answer:

f(5)+2

Step-by-step explanation:

8 0

3 years ago

In one day, the stock price for Zell Computers rose from $50 to $57 per share. By what percent did this stock price rise?

netineya [11]

The stock price rose by 14%

Percentage is the fraction of a sum expressed as a number out of hundred.

Percentage price increase = (change in price / initial price) x 100

In order to determine the answer, the following information is needed :

Change in stock price:

New price - Initial price

$57 - $50 = $7

Initial price = $50

Percentage increase in stock price : ($7 / $50) x 100 = 14%

In order to determine the percentage increase in the stock price, express the increase in price as a fraction of the initial price and multiply by 100

To learn more about percentages, please check: brainly.com/question/92258?referrer=searchResults

4 0

3 years ago

A curve has equation y=x√x.find the equation of the tangent to the curve at the point(1, 5)

rewona [7]

Answer:

y - 5 = $\frac{3}{2}$ (x - 1)

Step-by-step explanation:

Note that $\frac{dy}{dx}$ = $m_{tangent}$

Differentiate using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = x $\sqrt{x}$ = x. $x^{\frac{1}{2} }$ = $x^{\frac{3}{2} }$ , then

$\frac{dy}{dx}$ = $\frac{3}{2}$ $x^{\frac{1}{2} }$

When x = 1

$\frac{dy}{dx}$ = $\frac{3}{2}$ . 1 = $\frac{3}{2}$

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = $\frac{3}{2}$ and (a, b) = (1, 5), thus

y - 5 = $\frac{3}{2}$ (x - 1) ← equation of tangent

3 0

3 years ago

On a huge site in San-Diego the whole new street of houses was constructed. To put the numbers on all new buildings the plates w

Papessa [141]

<h2>There are 45 houses on the left and require 95 plates, while there are 44 houses on the right and require 94 plates</h2>

Step-by-step explanation:

Houses are numbered from 1 to 99. So, there are 99 houses. Odd-numbered houses are on the left. So, there are 50 houses on the left, while there are 49 houses on the right.

For houses on left : The houses are numbered 1, 3, 5, 7, 9, 11, 13..... 97, 99

So 5 houses( 1, 3, 5, 7, 9) require only one plate for numbering, while the remaining 45 houses require 2 plates each. So total number of plates = $5\textrm{x}1+45\textrm{x}2$ = $95$ plates.

For houses on right : The houses are numbered 2, 4, 6, 8, 10, 12, 14.... 96, 98

So 4 houses( 2, 4, 6, 8) require only one plate for numbering, while the remaining 45 houses require 2 plates each. So total number of plates = $4\textrm{x}1+45\textrm{x}2$ = $94$ plates.

∴ There are 45 houses on the left and require 95 plates, while there are 44 houses on the right and require 94 plates.

8 0

3 years ago