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Rama09 [41]
3 years ago
6

What is the slope of a line passing through (5, 9) and (7, 15)?

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0
Slope = change in y / change in x
 
          = (15 - 9) / (7 - 5)
 
          =   6 / 2
    
          = 3   

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The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?
lara31 [8.8K]

Answer:

The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):

x² + x² = 18²

2x² = 324

x² = 162

x = 9√2

4 0
3 years ago
Which letters have more than one line of symmetry?
klemol [59]
The letter 'C' has 2 lines of symmerty
the upper-case 'D' has 2 lines of symmetry
the uper -case 'E' has 2 lines of symmetry
the upper case 'H' has 2 lines of symmetry
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3 0
3 years ago
Read 2 more answers
Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.
Flauer [41]

Answer:

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

Step-by-step explanation:

Given

\sqrt{128a^{6}b^{13}}

Required

Solve

\sqrt{128a^{6}b^{13}}

The expression can be split to:

\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}

So, we have:

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}

Rewrite as:

\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2}  * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

5 0
2 years ago
Find the distance from point B to point C. Please help 25 points!!
sweet-ann [11.9K]

Answer:

9.6 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan 58 = BC / 6

Multiply each side by 6

6 tan 58 = BC

9.602007174 =BC

Round to the nearest tenth

9.6 = BC

4 0
3 years ago
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Help please!<br> Thank you
Margarita [4]

Answer:

G

Step-by-step explanation:

Red marble probably currently: 12/32 = 3/8

Guess and check (using the multiple choice answers):

F: 12 + 13 / 32 + 13 = 25/45 = 5/6; does not equal 3/5

G: 12 + 18 / 32 + 18 = 30/50 = 3/5; does equal 3/5

H: 12 + 28 / 32 + 28 = 40/60 = 2/3; does not equal 3/5

J: 12 + 32 / 32 + 32 = 44/64 = 11/16; does not equal 3/5

K: 12 + 40 / 32 + 40 = 52/72 = 13/18; does not equal 3/5

8 0
3 years ago
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