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Studentka2010 [4]
2 years ago
9

Identify the properties of equality needed to isolate a varaible and solve a given equation. Use the drop-down menus to show you

r answer.
Mathematics
1 answer:
Anna71 [15]2 years ago
4 0

Answer:

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

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Point B is between A and C on AC use the given information to write an equation in terms of X . Solve the equation. Then find AB
Mars2501 [29]

Answer:

26

Step-by-step explanation:

3 0
3 years ago
Factorize (X + 2 y)square - (2 x minus y) square​
gulaghasi [49]

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

3 0
3 years ago
The figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔACD ≅ ΔBCD?
Daniel [21]

Answer:

C

Step-by-step explanation:

Yes, ACD = BCD by AAS since they have 2 congruent angles & share a side.

3 0
2 years ago
Solve for n. 2/3(1+n)=-1/2n
notka56 [123]

Answer:

=−4/7

Step-by-step explanation:

And yh I'm sorry if I got it wrong

5 0
3 years ago
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a
erma4kov [3.2K]

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

4 0
3 years ago
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