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Naddika [18.5K]
3 years ago
9

Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation​.

Mathematics
2 answers:
djyliett [7]3 years ago
9 0

Answer:

x=-3 and x=17. Success to the homework.

Mariana [72]3 years ago
4 0

Answer:

x = -3 and x = 17

Step-by-step explanation:

x² - 51 = 14x

x² - 14x - 51 = 0

(x + 3)(x - 17) = 0

x = -3 and x = 17

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Find two numbers which have a sum of 132 and that can be written as the simplified<br> ratio 3:8
Molodets [167]

Answer:

96 and 36

Step-by-step explanation:

3+8 = 11

132/11 = 12

so:

12 x 3 = 36

12 x 8 = 96

5 0
3 years ago
A 0.30 kg bird flies in a horizontal curve of radius 20 m at 15 m/s. The force exerted by the air on the bird is about
monitta

Answer:

<h2>b)  3.48 N approx.</h2>

Step-by-step explanation:

<em>The bird will experience a centripetal force, this is the force exerted on a body that moves through a curve path.</em>

F_c = \frac{mv^2}{r}

Fc=centripetal force

m=mass

v=velocity

r=radius

Step one:

given data

mass of bird m=0.3kg

the radius of curve r= 20m

velocity v= 15 m/s

Substituting we have

F_c = \frac{0.3*15^2}{20}\\\\F_c= \frac{0.3*225}{20}\\\\ F_c=\frac{67.5}{20}\\\\F_c=3.37N

<u>The force is 3.37N</u>

7 0
3 years ago
You put $600 in an account with a simple interest rate of 2.5%. How long does it take for the account to earn $45?
MA_775_DIABLO [31]

Answer:

3\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$600\\ A=\$600+\$45=\$645\\r=0.025

substitute in the formula above  and solve for t

645=600(1+0.025t)

t=[(645/600)-1]/0.025=3\ years

8 0
3 years ago
24 by 72 by 18 in cubic feet
Vadim26 [7]

I have to assume that the 24, the 72, and the 18 are feet.

If those are the dimensions of a rectangular prism, like a box, a crate,
or a humongous block of ice, then

            Volume = (length) x (width) x (height) =

                             (24-ft) x (72-ft) x (18-ft) =  <em>31,104 cubic ft</em>


If those numbers are <u>inches</u>, then here's the easy way to handle it:

       24 inches  =  2 ft
       72 inches  =  6 ft
       18 inches  =  1.5 ft

               Volume  =  (length) x (width) x (height) =

                                     (2ft) x (6ft) x (1.5ft)  =  <em>18 cubic feet


</em>
7 0
3 years ago
Hence, or otherwise, write down the coordinates of the turning point of the graph of
Inessa05 [86]

Answer:

\frac{1}{2}  \frac{45}{2}

6 0
3 years ago
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