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matrenka [14]
3 years ago
12

Complete the following: a^2 − 16 = (a +______ )(a - _____ )

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

a^{2}  -16 =  (a + <u>4</u>) (a - <u>4</u>)

Step-by-step explanation:

The given equation is a^{2}  -16

Now, By ALGEBRAIC IDENTITY:

a^{2}  -b^{2}   =(a - b) (a + b)

Here, taking b^{2}  = 16, we get b = 4

as 4^{2}  = 16

So, the right hand side of a^{2}  -16 is (a + 4) (a-4)

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Solve for x.<br><br><br><br> Enter your answer in the box.
rewona [7]

Answer:

x=61

Step-by-step explanation:

A 5 sided shape always has 540 degrees in angles in total. So, 540-90-107-144-138. Do this, and it gets you 61 degrees. Therefore x = 61 degrees

6 0
3 years ago
Write an algebraic expression that has three terms. two of the terms should be variable terms, and one of the terms should be th
artcher [175]
The height of a tree is 10
10
meters long and it grows 1
1
cm in a year.
Then its height after one year = 10
10
meters 1
1
cm
Its height after 3
3
years = 10
10
meters 3
3
cm
Its height after 6
6
years = 10
10
meters 6
6
cm
Its height after x
x
years = 10
10
meters x
x
cm

Where x
x
represents an unknown number. From the last line, we can find height of the tree after a certain number of years by taking x
x
equal to that number. For example, we simply let x=15
x
=
15
, 25
25
and 55
55
. Thus, the value of x
x
depends on our choice. We can give x
x
any value or number we want. In other words, the value of x
x
is not fixed, it varies from one situation to the other. Therefore, we call x
x
a variable whereas 10
10
is a fixed number whole value does not change. So 10
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Read more: http://www.emathzone.com/tutorials/basic-algebra/algebraic-expression.html#ixzz4fDkFcbpZ
3 0
4 years ago
Whoever helps with number 5 gets brainliest answer and 10 points :)
nata0808 [166]
Count:5Sum:341Mean:68.2Median:62Mode:48, 40, 93, 62, 98
6 0
3 years ago
Read 2 more answers
If 7x + 5 = -2, find the value of 8x
kolbaska11 [484]

Answer:

-8

Step-by-step explanation:

you add 5 to -7 to get -2

7 x -1 is -7

so x = -1

8 x -1 = -8

6 0
3 years ago
If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form
adelina 88 [10]

Answer:

Given  

if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form

We need to find the ratio p:q:r

Given p:q = 2/3 : 3 = 2/3 / 3  = 2/9

and p : r = 3/4 : 1/2 = 3/4 / 1/2  = 3/2  

Now p/q = 2/9 and p/r = 3/2

We need to make p equal numerators so we get

p/q = 2/9 x 3/3 = 6/27 and

p/r = 2/3 x 3/2 = 6/4

Therefore p : q : r = 6 : 27 : 4

6 0
4 years ago
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