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2 years ago

Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2

Mathematics

1 answer:

sergey [27]2 years ago

3 0

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Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

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Point-slope form:-

$\sf{y-y_1=m(x-x_1)}$

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

$\sf{y-1=2(x-0)}$

So we conclude that Option B is correct.

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A circle with radius of 2cm sits inside a circle with radius of 4cm

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3 years ago

Look at the circle you created that has point C (the midpoint of AB) as its center and passes through point A. What can you say

Mice21 [21]

The inscribed angle on the circumference of the circle subtended by the diameter at the center is a right angle

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What can be said about angle BDA is; Angle BDA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BDA is 90°

What can be said about angle BEA is; Angle BEA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BEA is 90°

The given diagram shows;

Circle with midpoint C, along AB, and radius AC

The diameter of circle C = AB

Circle with midpoint A, intersecting with circle C at points D and E

Tangents from point B on circle, C, intersect with circle A at points D and E

Required parameters;

What can be said about AB

The segment AB is a line that intersects the circle C at two points and also passes through the the point C which is the center of the circle C

Therefore, the segment AB is the diameter of the circle with center at C

What can be said about angle BDA

The angle BDA is the inscribed angle of circle C subtended by the points A and B which specifies the diameter of the circle with midpoint C

Therefore, the angle BDA is subtended by the diameter of the circle at the center

According to circle theorem, we have;

Angle subtended at the center = 2 × The angle subtended at the circumference

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Therefore;

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Angle BDA = 90°

What can be said about angle BEA

Similarly, we have;

The angle subtended at the center = 180° = 2 × Angle BEA

Angle BEA = 180°/2 = 90°

Angle BEA = 90°

Find out more about inscribed angles of a circle here:

brainly.com/question/17021375

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3 years ago

Can somebody help me solve this?

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Answer:

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sin 76°/z = sin 51°/2.6

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z·(sin 51°) = 2.6·(sin 76°)

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3 years ago

Find the area of a rectangle whose length is 8 and breath is 3

natulia [17]

Answer:
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3 years ago

Please help me I don’t understand this

Lyrx [107]

When you're given a point and the slope of a line, it is often easiest to write its equation in point-slope form.

This is $y-y_1=m(x-x_1)$ , where $(x_1,y_1)$ is the ordered pair for the point you are given and m is the slope.

Here, you would write $y-8=-3(x-7)$ . Then, you simplify to get to slope-intercept form, which is $y = mx+b$ , where b is the y-intercept.

$y-8=-3(x-7) \\ y=-3x+29$

The correct answer is A.

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3 years ago