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Travka [436]
3 years ago
15

Find the translation that moves the figure 2 to figure 3 on the coordinate plane.

Mathematics
1 answer:
laila [671]3 years ago
5 0
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X=4, y= -7, z=9 solve: -2x-3y+z
vesna_86 [32]

Answer:

22

Step-by-step explanation:

To solve this we can plug the values in.

-2x-3y+z

-2(4)-3(-7)+(9)

Simplify.

-8+21+9

Add.

22

8 0
3 years ago
Solve this equation <br><br> 18 = n -18<br><br> n=
Mandarinka [93]

Answer:

n= 36

Step-by-step explanation:

18=n-18 (add 18 to both sides of the equation, 18 and -18 cancel out)

36=n

8 0
2 years ago
Read 2 more answers
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
Me ayudan con esa ecuacion por sustitucion con la comprobacion pliss
attashe74 [19]
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5

1/5x+3y/2=2  => (1/5)x + (3/2)y = 2

Eliminate the fractional coefficients:  Mult. the first equation by 4 and mult. the second equation by 10:


2x + 15y = 20     

</span><span>Multiply the 1st equation by -1:

-</span>2x - 3y = -20
2x + 15y = 20 
-------------------
       12y = 0, so y = 0.  Then the first equation becomes  2x + 3(0) = 20, or
                                     x=10.

Solution is (10,0).
8 0
3 years ago
Lucy throws a fair six sided dice . so like the letter that matches the probability of the dice landing on a number between 1 an
irakobra [83]

Answer:

Letter B matches the probability.

Step-by-step explanation:

Lucy throws a fair six sided dice.

Probability of the dice landing on a number between 1 and 6 = \frac{\text{Favorable outcome}}{\text{Number of events}}

= \frac{1}{6}

On a number line fraction \frac{1}{6} can be represented by,

An small section (A to B) will represent the fraction = \frac{1}{6}

Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.

4 0
2 years ago
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