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3 years ago

(-6.9), (7, -9) find the slope

Mathematics

2 answers:

Andrej [43]3 years ago

8 0

Answer:

$m=-\frac{18}{13}$

Step-by-step explanation:

Use the slope formula to find the slope m.

Slope between two points: $Slope=\frac{y_{2}-y_1 }{x_2-x_2}$

$(x_1,y_1)=(-6,9),(x_2,y_2),=(7,-9)$

$m=\frac{-9-9}{7-(-6)}$

Refine.

$m=-\frac{18}{13}$

trasher [3.6K]3 years ago

6 0

Answer:

if you are using point slope formula it will be y = − 6.9 x + 39.3

Step-by-step explanation:

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3 years ago

What is the sum of the expression (8- 4 i) + (-2+7i)?

prohojiy [21]

Answer:

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Step-by-step explanation:

In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is

(a + bi) + (c + di) = (a + c) + (b + d)i

Let us use this fact to solve our question

∵ The complex numbers are (8 - 4i) and (-2 + 7i)

∴ Their sum = (8 - 4i) + (-2 + 7i)

∵ The real parts are 8 and -2

∵ 8 + -2 = 8 - 2 = 6

∴ The sum of the real parts is 6

∵ The imaginary parts are -4i and 7i

∵ -4i + 7i = 3i

∴ The sum of the the imaginary parts is 3i

∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i

∴ (8 - 4i) + (-2 + 7i) = 6 + 3i

∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

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2 years ago

Please help! I'll mark it as brainliest

Drupady [299]

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2 years ago

Solve the given triangles by finding the missing angle and other side lengths.

coldgirl [10]

Answer:

a ≈ 27.65; B = 28°; c ≈ 19.17
a ≈ 163.30; B = 120°; c ≈ 59.77
A = 13°; b ≈ 0.3874; c ≈ 1.3737

Step-by-step explanation:

As long as you're seeking outside help, the use of a suitable tool is appropriate. Many graphing calculators, apps, and web sites are available for solving triangles.

Here, you're given two angles and a side. The third angle is the difference from 180° of the sum of the other two. For example, in the first problem, ...

B = 180° -A -C = 28°

The missing sides are found using the law of sines. Since you are given a side, use that as the reference, and its opposite angle as the reference angle. Then you have ...

side = sin(opposite angle)×<em>((reference side)/sin(reference angle))</em>

Note that the factor in italics remains the same for both remaining sides.

In the first problem, this becomes ...

a = sin(112°)·14/sin(28°) ≈ 27.65

c = sin(40°)·14/sin(28°) ≈ 19.17

The remaining problems are worked in similar fashion.

_____

<em>Comment on triangle solutions</em>

These are straightforward because you're given two angles. If you're given two sides and an angle, the solution method varies depending on which angle you're given (opposite the long side, the short side, or the unknown side). In the last case, the law of cosines is involved. In the second case, there are likely two solutions. Once you have two angles, you can proceed as above.

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2 years ago

Read 2 more answers