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3 years ago

Rewrite y= x^2-6x+2 in vertex form and state the coordinates of the vertex

1 answer:

6 0

Because Vertex form is f(x)=a(x-h) $^{2}$ +k, when (h,k) in the vertex

and y= $x^{2} -6x+2 = x^{2} -6x+9-7 = (x-3) ^{2} -7$

so $y= (x-3) ^{2} -7$ will be the vertex form

so the vertex will be (3,-7)

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Solve triangle ABC with m

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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

4 years ago

On a map, the distance between Greenville and Fairview is 7 1/4 inches. If the map uses a scale of 1/2 inch = 40 miles, what is

lubasha [3.4K]

The actual distance between cities is 580 miles.

Step-by-step explanation:

Map distance = $7\frac{1}{4}$ inches = $\frac{29}{4}\ inches$

Scale used;

$\frac{1}{2}\ inches = 40\ miles$

Multiplying both sides by 2

$2*\frac{1}{2}=40*2\\1\ inch = 80\ miles\\$

Now,

$\frac{29}{4}\ inches = \frac{29}{4}*80\\\\\frac{29}{4}=29*20\\\\\frac{29}{4}\ inches = 580\ miles$

The actual distance between cities is 580 miles.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

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