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3 years ago

Write a problem involving how much more than and solve it. Explain how drawing a diagram helpedyou solve the problem.

Mathematics

1 answer:

Viktor [21]3 years ago

8 0

What was the ACTUAL question? Like. what do we have to write?

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Factorise the following by taking out a common binomial factor. 7(x - 3) - (x + 3)(x - 3)

g100num [7]

Step-by-step explanation:

7(x - 3) - (x + 3)(x - 3)

(x - 3)(7 - (x + 3))

(x - 3)(7 - x - 3)

(x - 3)(4 - x)

7 0

3 years ago

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What are the solutions of x ^ 2 + 6x - 6 = 10 ? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2

zmey [24]

Answer:

x=-8 ,2

Step-by-step explanation:

x ^ 2 + 6x - 6 = 10

Add 6 to each side

x ^ 2 + 6x - 6+6 = 10+6

x ^ 2 + 6x = 16

Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side

6/2 =3 , 3^2 =9

x ^ 2 + 6x +9 = 16+9

(x+3)^2 = 25

Take the square root of each side

sqrt((x+3)^2) = ±sqrt(25)

x+3= ±5

Make 2 equations

x+3 = 5 x+3 = -5

Subtract 3 from each side

x+3-3 =5-3 x+3-3 = -5-3

x =2 x=-8

8 0

3 years ago

The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the

vivado [14]

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

$p = 2w + 2l$

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width. We can express that as $w = 3l - 6$ .

We can plug that definition of w into the perimeter equation to find the length:

$p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8$

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

$p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18$

So the width is 18

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3 years ago

How many units up was the graph of f(x) =∛x shifted to form the translation?

Alexus [3.1K]

The graph of f(x) =∛x was shifted 2 units up to form the translation.

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3 years ago

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A rectangle measures 3 feet by 24 inches. Find the area of the rectangle in square feet.

Setler79 [48]

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3 years ago

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