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____ [38]
2 years ago
8

If a=6 and b=24 what is (a+b)squared

Mathematics
1 answer:
Whitepunk [10]2 years ago
8 0

Answer:

900

Step-by-step explanation:

(6 + 24)^2

30^2

900

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Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions
Bingel [31]

These are three equations and three answers.


Answers:

  • A) infinite solutions, identity
  • B) one solution, x = 27, neither contradiction nor identiy
  • C) x = no solutions, contradiction

Explanation:


Equation A: 20 - 4x = 12 - x + 8 - 3x

The objective is clearing the unknown, which is to isolate it in one side of the equation.

These are the steps and properties that you need to use:


1.  Combine like terms on right side:

20 - 4x  = 20 - 4x


2. Use addition property of equality (add 4x on each side).

20 = 20 ↔ identity


Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.


Equation B: 5x + 4x - 3  =  24 + 8x (note that I placed the equal sign as it was missing)


1.  Combine like terms on each side:

9x - 3 = 24 + 8x


2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)

x = 27 ↔ solution (neither contradiction nor identity)


Conclusion: the solution is x = 27.


Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)


1. Comitne like terms on the right side:

5x + 6 = 5x - 9


2. Subtraction property of equality (subtract 5x from each side)


6 = - 9 ↔ contradiction


Conclusion: the equation does not have a solution since the final equality is always false (a condradiction or absurd).


For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.

6 0
3 years ago
Read 2 more answers
What is the surface area of a cube that’s measured 8 inches
MrRa [10]

Answer:

2

Step-by-step explanation:

Haven't done this in awhile but I think it's 2 because if you cube 2 it comes to 8. L x W x H = 8 | 2 x 2 x 2 = 8

7 0
2 years ago
Find the next term in the sequence 5, 25, 125, 625
gogolik [260]

the next term would be 3,125! the sequence is multiplying each number by 5.

5 0
3 years ago
Cameroon was paid $173.70 for working 18 hours. how much money does he make per hour?
PilotLPTM [1.2K]
Since you are looking for the dollar per hour, can just set the equation up as dollar divided by hour (dollar/hour). You take how much was made ($173.70) and divide it by the hours worked (18 hours).

$173.70/18 = x (x representing how much he makes an hour).

$173.70/18 = $9.65.

Cameroon makes $9.65 an hour.
6 0
3 years ago
In the figure, solve for x and y.
evablogger [386]

Answer:

y=124°

x=67°

Step-by-step explanation:

For the triangle on the right

180-74-50=56°

then y= 180-56=124°

For the triangle on the middle (that small triangle)

180-85(Head opposite angles)-50=45°

So

x=180-45-68=67°

5 0
3 years ago
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