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Mkey [24]
3 years ago
12

What is the distance between points (11,3) and (4,3) on a coordinate?

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

7

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2
Nimfa-mama [501]

First of all, we can observe that

x^2-6x+9 = (x-3)^2

So the expression becomes

\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}

This means that the expression is defined for every x\neq 3

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2

Since we can't accept 3 as an answer, the actual solution set is

(-\infty,-2] \cup [2,3) \cup (3,\infty)

7 0
3 years ago
The Marked price of an article is rupees 4500. After allowing some percent of discount and levying 10% VAT it is sold at 4400, f
dexar [7]

Answer:

given,

mp= 4500

now

discount amount=dis%of mp

=x%of 4500

=45x

now,

sp=mp- discount

=4500-45x

now,

vat=vat%of SP

=10%*4500-45x

=450-45x

now,

sp with vat=sp+vat amount

=4500-45x+450-45x

=4950-90x

now,

4950-90x=4400

or,-90x=-550

or, x=55/9

or, x=6.11%

therefore, dis percent is 6.11%

5 0
3 years ago
Read 2 more answers
Solve for x*<br> 3y + 5<br> 17x - 70<br> 3x+15<br> 2x+5
KiRa [710]

Answer is   = 3y - 34 +5

7 0
3 years ago
Help me pls it’s not too much!
ankoles [38]
9,240 yards = 5.25, or 5 1/4 miles.
3 0
3 years ago
5) The graph of the parent linear function f(x) = x is shown in black on the coordinate grid. Write the function that represents
djyliett [7]

Answer:

(m) increased, (b) unchanged.     g(x)

(m) decreased, (b) unchanged.   m(x)

(m) unchanged, (b) increased.      h(x)

(m) unchanged, (b) decreased.    n(x)

f(x): m = -1/2  b = 2

g(x): m = 1/3  b = -3

h(x): m = 2  b = 0

8 0
2 years ago
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