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3 years ago

What number must be added to the expression below to complete the square

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Where is it? In order to help you I need to see what the problem is.

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Pia printed 2 maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second m

Marianna [84]

The scale factor from the first map to the second map can be determined by:

scale factor = (length of trail in first map) / (length of trail in second map)

8 cm / 6 cm = 1.33

The landmark on the first map is a triangle with side lengths of 3mm, 4mm, and 5mm.

3mm = 3 * 1.33 mm = 3.99mm
4mm = 4 * 1.33 mm = 5.32mm
5mm = 5 * 1.33 mm = 6.65mm

5 0

2 years ago

A 31 foot board is cut in two pieces so that the longer piece is 1 foot less than three times the shorter piece

strojnjashka [21]

X is the short piece
(3•x-1)+x=31
4x=31+1
X=32/4=8

Short piece is 8
Long piece is 3•8-1=23

Check 8+23=31 ✔️

8 0

2 years ago

A large rectangular movie screen in an IMAX theater has an area of 7,875 square feet. Find the dimensions of the screen if it is

pickupchik [31]

Answer:

Width=75

length=105

Step-by-step explanation:

Width=x

length=30+x

= 7875=x*30+x

x^2+30x-7875=0

x^2+105x-75x-7875=0

x(x+105)-75(x+105)=0

5 0

2 years ago

1.2 x 10^19 x 5.88 x 10^12

Lapatulllka [165]

9514 1404 393

Answer:

7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

(10^a)(10^b) = 10^(a+b)

$(1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}$

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

<em>Additional comments</em>

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

7 0

2 years ago

A. Alternate exterior angles

tresset_1 [31]

Answer:

Step-by-step explanation:

Supplementary = 180 degrees aka straight line

3 0

2 years ago