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3 years ago

Write 128 as a product of primes

Mathematics

1 answer:

Lyrx [107]3 years ago

3 0

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

2^7

Step-by-step explanation:

2 is the only prime number you can multiply to get 128.

as such your answers are :

2^7

2 x 2 x 2 x 2 x 2 x 2 x 2.

(if you don't know yet, 2^7 is just a simple way to say 2 times itself 7 times.)

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What is the solution of the system? Use elimination. 5x + 6y = 17 −10x − 9y = −43

shutvik [7]

By using elimination method the solution for the given equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.

Step-by-step explanation:

The given equations are,

$5x+6y=17$ ..................................(1)

$-10x-9y=-43$ ..............................(2)

Step:1

By elimination method,

Multiplying the equation (1) by 9 ( Eqn (1) × 9)

$45x+54y=153$ .................................(3)

Multiplying the equation (2) by -6 ( Eqn (2) × -6)

$60x+54y=258$ ................................(4)

Step:2

Subtracting the Equations (3) and (4),

$45x+54y=153$

$60x+54y=258$

( - )

( $45x-60x$ ) + ( $54y-54y$ ) = ( $153-258$ )

( $-15x$ ) = ( $-105$ )

$x = 7$

Step:3

Substitute the x=7 in equation (1),

$5x+6y=17$

( 5 × 7 ) + ( $6y$ ) = 17

$6y$ = -18

$y$ = -3

Step:4

Check for solution,

Substitute the x and y values in Eqn (1),

$5x+6y=17$

( 5 × 7 ) + ( 6 × -3 ) = 17

( 35 ) - ( 18 ) = 17

17 = 17

Result:

The solution for the equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.

5 0

3 years ago

Help please Give the slope of y+2=3(x-7) and a point on the line.

Rashid [163]

Point slope form:

y - y1 = m(x - x1) where m = slope and coordinate point (x1, y1)

In this case y+2= 3(x-7), slope = 3 and a coordinate point (7, -2)

Answer is D

The slope is 3 and (7, 2) is on the line

8 0

3 years ago

Which graph shows the line joining the complex numbers -i and 2+!?

Artist 52 [7]

Answer:

Step-by-step explanation:

You are given two complex numbers -i and 2+i.

For the complex number z=x+iy, the ordered pair (x,y) represents this complex number on the coordinate plane.

So, the numbers:

$-i=0-1\cdot i$ is represented by the ordered pair (0,-1)
$2+i=2+1\cdot i$ is represented by the ordered pair (2,1).

Plot these two points on the coordinate plane and coonect them with a straight line. You'll get the last option of graph.

7 0

3 years ago

Which expression is equivalent to √4j^4/9k^8?

solmaris [256]

$\frac{ 2j^{2} }{ 3^{4} }$
SQRT each individual bit: 4 and $j^{4}$ and 9 and $k^{8}$

6 0

3 years ago

Read 2 more answers

Substitution Method 2x+5y=-1 y=3x+10

Grace [21]

Substitution for both equations is (-3,1)

8 0

3 years ago