3 years ago

How do you complete the square of h(x)= x^2 + 6x + 7

Mathematics

1 answer:

evablogger [386]3 years ago

4 0

Answer:

$(x + 3)^{2} - 2$

Step-by-step explanation:

$h(x)= x^2 + 6x + 7 \\ = x^2 + 2.3.x + {3}^{2} - {3}^{2} + 7 \\ = (x + 3)^{2} - 9 + 7 \\ \purple { \bold{h(x)= (x + 3)^{2} - 2 }}$

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svetoff [14.1K]

There are 10,254 toy trucks

and 10,254 * 3 = 30,762 toy cars.

In total, there are 10,254+30,762= 41,016 toys

when we divide 41,016 by 35, the quotient is the number of the full boxes, and the remainder is the number of toys left.

41,016=35*1171+31

Answer: 1171 full boxes, 31 toys left for the last box

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3 years ago

Find the solutions x^2=27

g100num [7]

The answer is 5.196152423

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3 years ago

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weeeeeb [17]

Answer:

$25x^{3}-15x^{2} -38x-8$

Step-by-step explanation:

Multiply the equations together

(5x+4)(5x^2-7x-2)

25x^3-35x^2-10x+20x^2-28x-8

Add like terms

25x^3-15x^2-38x-8

7 0

3 years ago

Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.

algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.

Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is $=AB+BE+ED+DC+CA$