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3 years ago

What is the slope between (2,4) and(3,-6)

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer:

m = -10

Step-by-step explanation:

y = -10x + 24

RSB [31]3 years ago

6 0

Answer:

2/5

Step-by-step explanation:

m=change in y/change in x

m= $y_{2} - y_{1}/x_{2}-x_{1}$

m = 6-(4)/3-(-2)

m=2/3-(-2)

m= 2/3+2

m=2/5

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Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean

Leno4ka [110]

Answer:

a = $\sqrt{7}$

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

$a^2+b^2=c^2$

Given that: b=3 and c=4

$a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7$

so a = $\sqrt{7}$

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}$

Please have a look at the attached photos.

3 0

3 years ago

Find the value of the following expression (2^8 • 3^-5 • 6^0) write your answer in simplified form show all your steps Help Fast

vitfil [10]

${( {2}^{8} \times {3}^{ - 5} \times {6}^{0} })^{ - 2} \\ = \frac{1}{ {( {2}^{8} \times {3}^{ - 5} \times {6}^{0} })^{2} } \\ = \frac{1}{ {(256 \times \frac{1}{ {3}^{5} } \times 1 })^{2} } \\ = \frac{1}{ {(256 \times \frac{1}{243} \times 1 })^{2} } \\ = \frac{1}{ ({ \frac{256}{243} })^{2} } \\ = \frac{1}{ \frac{ {256}^{2} }{ {243}^{2} } } \\ = \frac{1}{ \frac{65536}{59049} } \\ = \frac{59049}{65536}$
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9Pi x Height

Height is 6

9pi x 6 =

54 pi.

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Anna71 [15]

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