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1 year ago

Solve P=2G + 2M for G. G=

Mathematics

1 answer:

shusha [124]1 year ago

6 0

Answer:

$G=\frac{P-2M}{2}$

Step-by-step explanation:

$P=2G+2M \\ \\ P-2M=2G \\ \\ G=\frac{P-2M}{2}$

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Find ST if S(-3, 10) and T(-2, 3)

FrozenT [24]

We have the following points and their coordinates:

$\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}$

We must compute the distance ST between them.

The distance ST between the two points is given by:

$ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},$

where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.

Replacing the coordinates of the points in the formula above, we find that:

$\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}$

Answer: ST = √50

3 0

11 months ago

PLEASE PLEASE PLEASE HELP ME

lubasha [3.4K]

Answer:

CE = 17

Step-by-step explanation:

∵ m∠D = 90

∵ DK ⊥ CE

∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK

In the two Δ KDE and KCD:

∵ m∠KDE = m∠KCD

∵ m∠DKE = m∠CKD

∵ DK is a common side

∴ Δ KDE is similar to ΔKCD

∴ $\frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}$

∵ DE : CD = 5 : 3

∴ $\frac{KD}{KC}=\frac{5}{3}$

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ $\frac{KE}{KD}=\frac{5}{3}$

∴ $\frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}$

∴ $KC + 8 = \frac{25}{9}KC$

∴ $\frac{25}{9}KC - KC=8$

∴ $\frac{16}{9}KC=8$

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

7 0

3 years ago

MATH!!!! HELP ME!!!!!! PLEASE!!!!!

worty [1.4K]

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6 0

3 years ago

Write Algebraically: Thirty less than negative fifteen times a number is greater than 54 more than negative three times a number

Yuri [45]

Answer

-15x - 30 > -3x + 54

Explanation

Let's break this sentence down.

Thirty less than means [whatever goes before] minus 30.

Negative fifteen is -15.

Times a number means multiplying by a number. The number will be a variable. And in this case, the variable will be x.

Is greater than means more than.

Negative three is -3.

Times a number means multiplying by a number (in case you forgot or get confused, I wrote it again). That number will be a variable; x. This is the same number.

Now let's write down the equation.

Let's break both sides of the inequality, meaning the left side of 'greater than' and the right side.

The left side says this; "thirty less than negative fifteen times a number."

So let's write this.

So thirty less is minus 30. You are subtracting from "negative fifteen times a number."

Negative fifteen is -15... times a number is -15x.

So the left side of the inequality is -15x - 30.

The right side says this; "54 more than negative three times a number."

54 more than means adding 54 meaning + 54.

And you are adding 54 to "negative three times a number."

Negative three is -3, times a number is -3x.

So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

6 0

3 years ago

Raoul has to finish a 473-page book in a week. He decides to read the same number of pages each weekday and 30 extra pages on Sa

hodyreva [135]

Answer:

$59$ pages

Step-by-step explanation:

Variable:

x = number of pages he has to read on a weekday

x + 30 = The number of pages read on Saturday and Sunday

$5x+2(x+30) = 473$

$==> 5x + 2x + 60 = 473$

$==> 7x =413$

$==> x = 59$

Meaning that Raoul has to read 59 pages on Wednesday

6 0

3 years ago