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SOVA2 [1]
3 years ago
5

Use the points (1, -3) and (5, 9) for the following problems. a. Determine the slope between the two points above using the slop

e formula. Show all work.
b. Use the slope from part (a) and one point from above to write the equation in point-slope form.
Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Slope =3

process--

\frac{9- (-3)}{5-1}=\frac{12}{4} =3

Point-slope form is 3x-y-6=0 (using the first set of points, (1,-3) )

process--

y-9=3(x-5)

y-9=3x-15

y=3x-15+9

y=3x-6

<u><em>3x-y-6=0</em></u>

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3 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Svetlanka [38]

Option a: 17.32 \ {m} is the length of b

Explanation:

The angle of B is \angle B=60^{\circ} and a=10 \ m

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

\angle A+\angle B+\angle C=180^{\circ}

\angle A+60^{\circ}+90^{\circ}=180^{\circ}

       \angle A+150^{\circ}=180^{\circ}

                   \angle A=30^{\circ}

Thus, the angle of A is \angle A=30^{\circ}

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

\frac{a}{\sin A}=\frac{b}{\sin B}

where a=10 \ m , \angle A=30^{\circ} , \angle B=60^{\circ}

Thus, we have,

\frac{10}{\sin 30}=\frac{b}{\sin 60}

Simplifying, we get,

\frac{10}{0.5}=\frac{b}{0.866}

Multiplying both sides by 0.866, we get,

\frac{10\times0.866}{0.5}=b

Multiplying the numerator, we have,

\frac{8.66}{0.5}=b

Dividing, we get,

17.32=b

Thus, the length of b is b=17.32 \ m

Hence, Option a is the correct answer.

7 0
2 years ago
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Answer:

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Step-by-step explanation:

5.641 in words can be written as

the first number is considered same, decimal is considered as and and digits after decimal are considered as regular number.

So, 5.641 in word form is:

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3 years ago
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Verdich [7]

Answer:

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Step-by-step explanation:then ill answer

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