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Licemer1 [7]
3 years ago
15

The area of square abcd is 7cm^2 show that x^2+4x=3

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The area (A) of the square = s² ( s is the measure of the side )

Here s = x + 2 and A = 7 , thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

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The difference between two number is 6, and their product is 27. Find d number​
marusya05 [52]

Answer:

3, 9

Step-by-step explanation:

The only factors of 27 are 1, 3, 9, and 27, so we can look at the numbers and see which ones have a difference of 6. 3 and 9 have a difference of 6, so the numbers are 3 and 9. I hope I helped!

8 0
2 years ago
Read 2 more answers
The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0
3 years ago
The height in feet of a ball dropped from a 150 ft building is given by h(t)=-16 ft^2 +150, where t is the time in seconds after
ipn [44]

Answer:

Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft

Step-by-step explanation:

we have

h(t)=-16t^{2}+150

where

t ----> is the time in seconds after the ball is dropped

h(t) ----> he height in feet of a ball dropped from a 150 ft

Find h(2)

That means ----> Is the height of the ball  2 seconds after the ball is dropped

Substitute the value of t=2 sec in the equation

h(2)=-16(2)^{2}+150=86\ ft

therefore

After 2 seconds, the height of the ball is 86.00 ft.

7 0
3 years ago
Trig help please<br><br> Find the exact value of each trigonometric equation
gavmur [86]

The exact value for the equation is true but I don't really think that's the question so anyways...

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7 0
3 years ago
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A sweater for $36 at 7% sale tax
tresset_1 [31]
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3 0
3 years ago
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