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Lubov Fominskaja [6]
2 years ago
8

Which of the following is equal to the fraction below?

Mathematics
1 answer:
Talja [164]2 years ago
4 0

Answer:

C

{( \frac{a}{b}) }^{n}  =  \frac{ {a}^{n} }{ {b}^{n} }  \\ so \\    {( \frac{5}{9} )}^{8}  =   \frac{ {5}^{8} }{ {9}^{8} }

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Need help really pllzzzz.....
Dominik [7]
G(x)=-2x-4
f(x)=15+0.75x

the common solution Q is their intersection-> calculate x by setting them equal:
-2x-4=15+0.75x
-2x-(3/4)x=19
-(11/4)x=19
x=-4*19/11
x=-76/11

calculate y:
f(-76/11)=15+(3/4)*(-76/11)
=15+(-3*19/11)
=15+(-57/11)
=15+-5-(2/11)
=10-(2/11)
=108/11

so the solution is a) (-76/11, 108/11)
4 0
3 years ago
Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.
ladessa [460]

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)

\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)

On comparing both sides, we get

\dfrac{1+a}{2}=\dfrac{3}{2}

1+a=3

a=3-1

a=2

Similarly,

\dfrac{2+b}{2}=\dfrac{2}{2}

2+b=2

b=2-2

b=0

And,

\dfrac{1+c}{2}=\dfrac{-1}{2}

1+c=-1

c=-1-1

c=-2

Hence, the coordinates of vertex S are (2,0,-2).

4 0
3 years ago
Ethan put $150 into a CD that pays 3% interest, compounded monthly. According to the rule of 72, approximately how long will it
SSSSS [86.1K]
Hi there

The rule of 72 is
72/rate=time
72÷3=24 years

Hope it helps
7 0
3 years ago
Read 2 more answers
What’s the surface area of these<br><br> Only 10 minutes to answer
AURORKA [14]

Answer:

first is 243

2-  336

3- 375

Step-by-step explanation:

stuff

8 0
4 years ago
A number increased by 22% of itself is 488<br> Model the statement in an equation.
Ray Of Light [21]

Answer:

idk,i need the same answer

Step-by-step explanation:

6 0
3 years ago
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