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3 years ago

Which of the following satisfies Ž -2 = 12

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

7 0

Answer:

Step-by-step explanation:

if z is 14 than z-2=12

because 14-2=12

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Which side of triangle XYZ is the longest. x=62, y=55, and z=63

Semenov [28]

Z because 63 is larger than 55 and 62

8 0

3 years ago

Do any of you know how to do this

Gre4nikov [31]

Answer:

$(x + 5)$

Step-by-step explanation:

${x}^{2} + 8x + 15 \\ {x}^{2} + 3x + 5x + 15 \\ x(x + 3)5(x + 3) \\ (x + 3)(x + 5) \\ length \: = \frac{(x + 3)(x + 5)}{(x + 3)} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (x + 5)$

5 0

3 years ago

Read 2 more answers

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followin

dezoksy [38]

Answer:

32 days

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

First night: 1 penny = 2⁰

Second night: 1 × 2 pennies = 2¹

Third night: 2 × 2 = 2²

Fourth nigth: 2² × 2 = 2³

nth night: 2ⁿ⁻¹

You want 2ⁿ⁻¹ ≥ 2,000,000,000

Which you solve in this way:

2ⁿ⁻¹ ≥ 2,000,000,000

2ⁿ⁻¹ ≥ 2,000,000,000

n-1 log (2) ≥ log (2,000,000,000)

n - 1 ≥ log (2,000,000,000) / log (2)

n - 1 ≥ 30.9

n ≥ 31.9

Since n is number of days, it is an integer number, so n ≥ 32.

Hence, she will have a total of more than $ 2 billion after 32 days.

You can prove that by calculating 2³² = 2,147,483,648.

5 0

3 years ago

The venticles of a right angle are a[0,4], b[3,-2] c[-3, -4] Find It's area.

givi [52]

Answer:

The area of this triangle is about 21.2132 square units.

Step-by-step explanation:

First, find the lengths of the legs AB and BC.

Length of AB ===

Find the difference in position vertically:

$-2-4=-6$

The points are 6 units apart vertically.

Find the difference in position horizontally:

$3-0=3$

The points are 3 units apart horizontally.

These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:

$a^2+b^2=c^2\\3^2+6^2=c^2\\9+36=c^2\\45=c^2\\c\approx6.7082$

AB is about 6.7082 units long.

Length of BC ===

Same process as above.

Find the vertical distance:

$-4--2=-2$

2 units apart vertically.

Find the horizontal distance:

$-3-3=-6$

6 units apart horizontally.

Use the pythagorean theorem:

$2^2+6^2=c^2\\4+36=c^2\\40=c^2\\c=6.3246$

BC is about 6.3246 units long.

Area ===

Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:

$A=\frac{b\times h}{2}\\\\A=\frac{6.7082\times6.3246}{2}\\\\A=\frac{42.4264}{2}\\\\A=21.2132$