I need help to do the work 57÷3591 to put in my math book

Mathematics

1 answer:

Alexxandr [17]4 years ago

4 0

Answer:

see below

Step-by-step explanation:

It's just long division. Shown is the way I learned. In recent times, other techniques have been taught. At each stage, the divisor is multiplied by the quotient digit and the result subtracted to get the new dividend.

The result is a repeating decimal with a 6-digit repeat. It is the same as 1/63, which is the result of reducing the fraction 57/3591.

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Consider the quadratic function f(x)=−x^2+4x+12

777dan777 [17]

<h2>Answer:</h2>

The smallest x-intercept is x= -2

The largest x-intercept is x= 6

The y-intercept is y= 12

<h2>Step-by-step explanation:</h2>

We are given a function as follows:

$y=f(x)=-x^2+4x+12$

The x-intercept of a function is the value of x where the function is equal to 0.

i.e.

$y=f(x)=0$

$-x^2+4x+12=0$

i.e.

$x^2-4x-12=0\\\\x^2-6x+2x-12=0$

( We used the method of splitting the middle term)

$x(x-6)+2(x-6)=0\\\\(x+2)(x-6)=0$

i.e.

$x=-2\ and\ x=6$

Hence, the smallest x-intercept is: x= -2

and the largest x-intercept is: x=6

The y-intercept is the value of y where x=0

i.e. we have:

$y=-0^2+4\times 0+12\\\\y=12$

4 0

4 years ago

Find the distance between the pair of points, round to the nearest tenth if necessary.

Helga [31]

Step-by-step explanation:

distance between the two points is given by formula

$\sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } = \sqrt{( - 2 - 4)^{2} + {( - 3 - 0)}^{2} } = \sqrt{( - 6)^{2} + ( - 3)^{2} } = \sqrt{36 + 9} = \sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5}$