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3 years ago

The expression 21m−49n factored using the GCF

Mathematics

2 answers:

rewona [7]3 years ago

5 0

Here is my work for the problem. Hope this helps!

aniked [119]3 years ago

5 0

Answer; 7(m+2n) you needed to distrubute the GCF

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Due Tomorrow at 4 help me

RideAnS [48]

Answer:

question 1: option C (1)

question 2: option A (3)

Step-by-step explanation:

hope it helps!

6 0

2 years ago

Read 2 more answers

The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line

Sauron [17]

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 = -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

6 0

3 years ago

Can you solve 27,28,39,30,31,32,33,34?

kozerog [31]

Answer:

27. x^7

28. 4x^13

29. 1/f^4

30. x^5

31. 2x^14

32. (4y^3 x^2)^2

33. (2y/x)^6

Step-by-step explanation:

$27. \: \: \frac{ {x}^{ - 1} }{ {x}^{ - 8} } \\ \frac{ {x}^{8} }{ {x}^{1} } \\ {x}^{8 - 1} = {x}^{7} \\$

$28. \: \: \: \frac{ {52x}^{6} }{ {13x}^{ - 7} } \\ \frac{ {52x}^{6} {x}^{7} }{13} \\ {4x}^{6 + 7} = {4x}^{13}$

$29. \: \: {f}^{ - 3} ( {f}^{2} )( {f}^{ - 3} ) \\ {f}^{( - 3) +2 + ( - 3) } \\ {f}^{ - 4} \\ \frac{1}{ {f}^{4} } \\$

$30. \: \: \frac{ {x}^{ - 4} }{ {x}^{ - 9} } \\ \frac{ {x}^{9} }{ {x}^{4} } \\ {x}^{9 - 4} = {x}^{5}$

$31. \: \: \frac{ {24x}^{6} }{ {12x}^{ - 8} } \\ \frac{ {24x}^{6} {x}^{8} }{12} \\ {2x}^{6 + 8} = {2x}^{14} \\$

$32. \: \: \frac{ {3x}^{2} {y}^{ - 3} }{ {12x}^{6} {y}^{3} } \\ \frac{ {3x}^{2} }{ {12x}^{6} {y}^{3} {y}^{3} } \\ \frac{ {x}^{2 - 6} }{ {4y}^{3 + 3} } \\ \frac{ {x}^{ - 4} }{ {4y}^{6} } \\ \frac{1}{ {4y}^{6} {x}^{4} } = \frac{1}{({ {4y}^{3} {x}^{2} ) }^{2} }$

$33. \: \: {( {2x}^{3} {y}^{ - 3}) }^{ - 2} \\ {2x}^{3 \times - 2} {y}^{ - 3 \times - 2} \\ {2x}^{ - 6} {y}^{6} \\ \frac{ {2y}^{6} }{ {x}^{6} } \\ {( \frac{2y}{x} )}^{6} \\$

4 0

2 years ago

Determine the slope of the line that is perpendicular to the line y = -7x - 12.

Mnenie [13.5K]

Answer:

None of these answers are correct.

Step-by-step explanation:

Perpendicular lines have opposite and reciprocal slopes, which means that we take the slope and we flip it. After we've done that, we change the sign.

Since the original slope is -7, first we flip it and get -1/7. Now we change the sign and get 1/7. Therefore, the perpendicular slope of this line would be 1/7

4 0

3 years ago

I need the correct answer and explanation

Arada [10]

Answer:

D - The elevator traveled upward at a rate of 2(2/5) feet per second.

Step-by-step explanation:

Okay, this is almost like kinematics, which deals with physics.

Here are your given values:

Position 1 = 70ft [down]

Position 2 = 10ft [down]

Change in time (Δt - time - scalar) = 25 seconds

The equation for displacement is d₂-d₁. This would be the change of position of the elevator during the 25 seconds.

So, we can use this equation to figure out the change in position.

Δd = d₂-d₁ = 10ft [down] - 70 ft [down] = 60ft [up]

The equation for velocity is Δd/Δt. This would be the rate of which the elevator travels. Velocity is simply speed but with a direction.

So, we can use this equation to solve.

v = Δd / Δt = 60 feet [up] / 25 seconds = 2.4 ft / second [up].

Now, we need to change 2.4 ft / second [up] into a fraction.

2.4 -> 2 (4/10) -> 2 (2/5)

All I am simply doing is figuring out the distance the elevator traveled and determined the direction of which the elevator traveled. Then, I divided that by the time the elevator traveled to determine its speed and the direction the elevator traveled.

4 0

3 years ago