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yarga [219]
3 years ago
14

For what value of x does (x + 3)^2-5=0

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

x = -3±sqrt( 5)

Step-by-step explanation:

(x + 3)^2-5=0

Add 5 to each side

(x + 3)^2-5+5=0+5

(x + 3)^2 = 5

Take the square root of each side

sqrt((x + 3)^2 )=±sqrt( 5)

x+3 = ±sqrt( 5)

Subtract 3 from each side

x+3-3 = -3±sqrt( 5)

x = -3±sqrt( 5)

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio
icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = \frac{1}{2}\pi r^{2}

                                     = \frac{1}{2}\pi (OP)^{2}

                                     = \frac{1}{2}\pi (4)^{2}

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

                                              = 6.88 cm²

3 0
3 years ago
Hwong can fit 12 packets of coffee in a small box and 50 packets of coffee in a large box. He had 10 small boxes of coffee and w
nasty-shy [4]

Hwong could fill 12 packets of coffee in small boxes:

He has 10 boxes, so 10 x 12 = 120 packets total

Hwong's packets of coffee in the large boxes:

He can fit 50 packets into the boxes, so 120/50 = 2 large boxes and a remaining 20 packets of coffee

Therefore, Hwong can fit 12 packets of coffee to 1 small box and 8 packets to the other small box

5 0
3 years ago
Read 2 more answers
3(2x+5)=36<br>what is the value of x
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OLEGan [10]
1. slope of the given line = 1/5
    the equation is 
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    the equation is
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5 0
2 years ago
Find the slope of the line
Serhud [2]

Answer:

Slope is undefined.

Step-by-step explanation:

Slope of 0 is a horizontal line.

Slope of undefined is a vertical line.

Any other slope is something in between.

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