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3 years ago

7m - 6 + 3m + 7 = 21

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

Answer: m = 2

Step-by-step explanation: Coz I juss know

sveta [45]3 years ago

3 0

Answer:

m = 2

Step-by-step explanation:

7m - 6 + 3m + 7 = 21

(collect like terms)

10m + 1 = 21

10m = 21 - 1

10m = 20

(divide)

m = 2

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Can someone help me please help help help please!!!

GuDViN [60]

Answer:

part b is -y1

Step-by-step explanation:

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8 0

3 years ago

Find the distance between the point (-2, -3) and the line with the equation y=4-2/3x

otez555 [7]

Answer:

$D = \frac{25\sqrt{13}}{13}$

Step-by-step explanation:

Given

$y = 4 - \frac{2}{3}x$

$(x_1,y_1) = (-2,-3)$

Required

Determine the distance

$y = 4 - \frac{2}{3}x$

Write the above equation in standard form:

$Ax + By + C = 0$

So, we have:

$\frac{2}{3}x+y - 4 = 0$

By comparison:

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

The distance is calculated using:

$D = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$

Where:

$(x_1,y_1) = (-2,-3)$

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

This gives:

$D = \frac{|\frac{2}{3} * (-2) + 1 * (-3) - 4|}{\sqrt{(\frac{2}{3})^2 + 1^2}}$

$D = \frac{|-\frac{4}{3} -3 - 4|}{\sqrt{\frac{4}{9} + 1}}$

Take LCM

$D = \frac{|\frac{-4-9-12}{3}|}{\sqrt{\frac{4+9}{9}}}$

$D = \frac{|\frac{-25}{3}|}{\sqrt{\frac{13}{9}}}$

$D = |\frac{-25}{3}|/\sqrt{\frac{13}{9}}$

$D = \frac{25}{3}/\sqrt{\frac{13}{9}}$

Split the square root

$D = \frac{25}{3}/\frac{\sqrt{13}}{\sqrt{9}}$

Change / to *

$D = \frac{25}{3}*\frac{\sqrt{9}}{\sqrt{13}}$

$D = \frac{25}{3}*\frac{3}{\sqrt{13}}$

$D = \frac{25}{\sqrt{13}}$

Rationalize

$D = \frac{25}{\sqrt{13}} * \frac{\sqrt{13}}{\sqrt{13}}$

$D = \frac{25\sqrt{13}}{13}$

Hence, the distance is:

$D = \frac{25\sqrt{13}}{13}$

4 0

2 years ago

Determine if true:<br> 2x6-3=10

cestrela7 [59]

Answer:

False

Step-by-step explanation:

2x6=12

2x6=1212-3=9

Hence, the equation is false.

4 0

2 years ago

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How many hours must you run if you want to run 27 km at a rate of 9 km/h? (Apex)

Nuetrik [128]

Answer:

Step-by-step explanation:

27 km

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so 27/9=3

7 0

3 years ago

Simplify the expression completely. −4g+8−5+ 2g

BartSMP [9]

Answer:

g = 3/2

Step-by-step explanation:

−4g+8−5+ 2g

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-2g + 8 -5

-2g +3

2g = 3

g = 3/2

g = 1 1/2

5 0

3 years ago