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2 years ago

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Mathematics

1 answer:

bulgar [2K]2 years ago

6 0

Answer:

x=15

Step-by-step explanation:

$18^2=12(x+12)\\\\324=12(x+12)\\\\323=12x+144\\\\\cfrac{180}{12} =\cfrac{12x}{12} \\\\x=15$

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The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calori

IRISSAK [1]

He will burn 225 calories. if you divide 150/20 it will equal 7.5 then multiply 7.5 by 30 and you’ll get 225

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3 years ago

Please Complete the page.

Alexxandr [17]

7. -8/3
8. 4/35
9. -21/50
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3 years ago

What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

Solution:

Factorisation:

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Methods of factorisation:

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

Factoring out the GCF:

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

The sum-product pattern

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

The grouping method

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

The perfect square trinomial pattern

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

The difference of squares pattern

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

$x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)$

6 0

3 years ago

The marine green turtle has been known to swim 480 km (300 miles) in 10 days." How far, in kilometers, could a marine green turt

AnnyKZ [126]

Answer:

864

Step-by-step explanation:

You need to divide 480 by 10. Then multiply the answer which is 48 miles per day. Then take the 48 times 8 for the next 8 days. Then add the answer of that which is 384 and add it to 480.

Hope this helps.

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3 years ago

Find the area of the composite figure.

larisa86 [58]

Find the area of all the separate figures and add them together
area of rectangle = length x width
11 x 3 = 33 ft
area of square = a^2
3^2 = 9ft
area of triangle = base x height over 2
11 x 3 = 33
33 over 2 = 16.5 ft
33 + 9 + 16.5 = 58.5 ft ^ 2

8 0

3 years ago