What is the turning point of the quadratic function y=1/2(x+10)^2)-6

The coordinates of the turning point will be:

The graph is also attached.

Step-by-step explanation:

Given the expression

simplifying

We know that the quadratic equation generally represents Parabola. We know that a turning point of the parabola of the quadratic equation depends upon the direction of the Parabola and the value of the leading coefficient.

The point, where the parabola tends to change the direction, is called the 'vertex'.

In other words, the vertex of the quadratic Parabola represents the turning point of the quadratic function.

Given the expression

Parabola params are:

a = 1/2, b = 10, c = 44

As the leading coefficient = 1/2 which is less than 1, thus it represents the up-down facing Parabola.

Thus, the x-coordinate of the vertex:

x = -b/2a

putting x = -10 in the original equation

Therefore, the coordinates of the turning point will be:

The graph is also attached.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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