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vodka [1.7K]
2 years ago
7

Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles. What tiles need to be added to both sides to remove the smaller x

-coefficient? What tiles need to be added to both sides to remove the constant from the right side of the equation?
Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

miss Akunina [59]2 years ago
6 0

Answer:

a) Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) Adding -4 on both sides will remove the constant from the right side of the equation

Step-by-step explanation:

Given equation:

5x + (−2) = 6x + 4

a) What tiles need to be added to both sides to remove the smaller x-coefficient?

Smaller x-coefficient is 5x to remove the smaller x-coefficient

So, Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) What tiles need to be added to both sides to remove the constant from the right side of the equation?

the constant on right side is 4

Adding -4 on both sides will remove the constant from the right side of the equation

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Answer:

Original sum of money = $2246.51

Step-by-step explanation:

Interest = $96.60

Interest is compounded 6 times in a year ; n = 6

time = 1 year ; Rate of interest (r) = 4.2%

Interest = Future Value - Principal Value ...........(1)

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Hence, the original sum of money borrowed = $2246.51

4 0
2 years ago
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant.
RUDIKE [14]

Answer:

0 < k < 2

Step-by-step explanation:

<u>In the first quadrant both of x and y get positive values, so </u>

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<u>And replacing x with 2k in the second equation:</u>

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<u>Combining both k > 0 and k < 2, we get:</u>

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3 0
2 years ago
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The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
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<em>Greetings from Brasil...</em>

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

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P = PQ + QR + PR

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JL has coordinates J(-6, 1) and L(-4,3).<br> Find the coordinates of the midpoint.
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Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are (x_{1},y_{1}) and (x_{2},y_{2}), then x=\frac{x_{1}+x_{2}}{2} and  y=\frac{y_{1}+y_{2}}{2}

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

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∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

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