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3 years ago

Write an equation of a line in point-slope form with the

Mathematics

1 answer:

Ulleksa [173]3 years ago

4 0

Answer: (y − 0) = -(1/6)(x − 6) or y=-(1/6)(x-6)

Step-by-step explanation:

An equation in Point Slope form: y − y1 = m(x − x1), where m is the slope and x1 and y1 are provided as a single point, (x1,y1). We have slope(m) = -(1/6) and are given (6,0). Therefore:

(y − 0) = -(1/6)(x − 6) (Point slope form)

y = -(1/6)(x-6)

Rewriting this into standard form, y = mx + b

y = -(1/6)x + 1

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The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ

NARA [144]

Answer:

Step-by-step explanation:

The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.

then

by equating the last two expressions we get: 23π = 2πr then r = 23/2

then

the area = π × r² = (23/2)²×π = (132.25)×π

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3 years ago

Read 2 more answers

Which is an x-intercept of the continuous function in the table?

Zielflug [23.3K]

Answer:

(-1, 0)

Step-by-step explanation:

output = 0 the function’s graph will have an x-intercept

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3 years ago

Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

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3 years ago

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STatiana [176]

Answer:

Step-by-step explanation:

9^2 = 81 bc 9x9=81

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strojnjashka [21]

I'm sorry, I don't see the question. Could you please retake the photo in better quality so I could answer it? Thanks!

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3 years ago