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Novosadov [1.4K]
3 years ago
14

The width of a rectangle is six meters less than three times its length. If the area of the rectangle is 105 square meters. what

is the length
Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

length = 7 meters

Step-by-step explanation:

l = length

w = width

w = 3×l - 6

l×w = 105 m²

l×(3×l - 6) = 105

3×l² - 6×l = 105

l² - 2×l = 35

l² - 2×l - 35 = 0

solution of a squared equation is

(-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = -2

c = -35

(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =

(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6

l1 = 1+6 = 7 meters

l2 = 1-6 = -5 meters, which did not make any sense for an actual object.

so, l = 7 meters remains.

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A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.
vichka [17]

Answer:

14878.04878miles/hours^2

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

A=(Vf-Vi)/T where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

A=(65miles/hour - 6miles/hour)/14.8seconds, but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)

X=0.0041hours

Using X=0.0041hours in the previous equation instead of 14.8seconds we  have:

A=(65miles/hour - 6miles/hour)/0.0041hours

A=(61miles/hour)/0.0041hours

A=(61miles)/(hour*0.0041hours)

A=61miles/0.0041hours^2

A=14878.04878miles/hours^2

In conclusion, the acceleration rate is 14878.04878miles/hours^2

7 0
3 years ago
What is the area of the rectangle?<br><br> [1] un2
mezya [45]
(-2,3) to (2,-3)

6^2 + 4^2 = c^2

c = 7.21

————

(-2,3) to (1,5)

2^2 + 3^2 = c^2

c = 3.61

————

3.61 * 7.21 = approx. 26.03

The area is 26.03un^2
5 0
3 years ago
(5x+7)(8x+7) = 0<br>Find the two possible values.​
NeTakaya

(5x + 7)(8x + 7) \\  \\ 5x + 7 = 0 \\  \\ 5x =  - 7 \\  \\ x =  \frac{ - 7}{5}  \\  \\ 8x + 7 = 0 \\  \\ 8x =  - 7 \\  \\ x =  \frac{ - 7}{8} .

the values of x are -7/5 and -7/8 .

4 0
1 year ago
Read 2 more answers
Easy question.. giving brainliest<br> x/16 = 10/36<br> x=_
irina [24]

Answer:

x=40/9

Step-by-step explanation:

\frac{x}{16}  =  \frac{10}{36}  |first \: you \: cross \: multiply|  \\ x(36) = 16(10)  |open \: bracket  |  \\ 36x = 160 |divide \: both  \: side \:by \: 36 |  \\  \frac{36x}{36}  =  \frac{160}{36}  \\ x = \frac{40}{9}

6 0
3 years ago
What is the midpoint of the segment with two endpoints (4,-6) and (-2,-3)? Put your answers in decimal from, if applicable.
Ber [7]
Answer: 1,-4.5

Explanation: you can find this by finding the difference in y and the difference in x. The difference in x is -6, and the difference in y is +3. All you have to do after that is divide that by 2: -3,1.5, than add that to the first coordinate. That should be the midpoint.
4 0
1 year ago
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