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3 years ago

Need help solving to complete the square

Mathematics

1 answer:

aev [14]3 years ago

4 0

Answer:

b=9 and b=-21

Step-by-step explanation:

first step: move 195 to the other side by adding to get:

b^2+12b=189

now to find the constant you take the b value which is 12 divide that by 2 and square it. then add the product to both sides. 12/2=6, 6^2=36

b^2+12b+36=189+36

next factor b^2+12b+36.

(b+6)^2=225

square root both sides to get:

b+6=15 and b+6=-15

solve by subracting 6 to both sides and you get the 2 final answers.

b=9 and b=-21

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Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0

raketka [301]

Answer:

$f(0)=-2\\f(1)=e-1$

Step-by-step explanation:

According to intermediate value theorem, if a function is continuous on an interval $[a,b]$ , and if $k$ is any number between $f(a)$ and $f(b)$ , then there exists a value, $x=m$ , where $a$ , such that $f(m)=k$

In the given question,

Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.

Here,

$f(x)=e^x-3+2x$

Put $x=0$

$f(0)=e^0-3+2(0)=1-3+0=-2$

Put $x=1$

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3 years ago

If the volume of a sphere is 288(3.14) what is the surface area

VikaD [51]

Using formula A=4πr2
A=π⅓(6V)⅔=π⅓·(6·288)⅔≈210.90123
So area is apprix 210.9

7 0

3 years ago

Megan wants to build a fence around her pool. The pool is 28 feet long by 23 feet wide. The fence is to be 15 feet from the edge

marshall27 [118]

To determine the amount of fencing needed to enclose the pool area, you will need to add 15 feet to both sides of both dimensions to find the new dimensions that will need enclosed.

28 feet + 15 feet + 15 feet = 58 feet

23 feet + 15 feet + 15 feet = 53 feet

The fence will need to be 2 x 58 + 2 x 53 or 222 feet long for the 53 feet by 58 feet area.

5 0

3 years ago

Can you help me with this work please?

svp [43]

9514 1404 393

Answer:

OL = 7

Step-by-step explanation:

Triangle JKL is isosceles and N is the midpoint of JL, so NL = NJ = 14.

Triangle LMN is isosceles and O is the midpoint of NL, so NL = 2(OL).

OL = NL/2 = 14/2

OL = 7

There is no WY.

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3 years ago

When carbon is burned in air, it reacts with oxygen to form carbon dioxide. When 16.8g of carbon were burned in the presence of

dlinn [17]

The balanced chemical reaction is written as:

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4 0

3 years ago

Need help solving to complete the square ​

Need help solving to complete the square