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ANEK [815]
3 years ago
10

Find the y-intercept of the line on the graph

Mathematics
2 answers:
amm18123 years ago
8 0

Answer:

Step-by-step explanation: The y intercept is positive 2

atroni [7]3 years ago
8 0

Hey there!

The y-intercept is positive two (2) You can determine this because when the line crosses over the y-axis, it’s on the 2

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx

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a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
3 years ago
What is the slope of y = 1 + 5?
IgorLugansk [536]

Step-by-step explanation:

if there is no typo, then that is

y = 1 + 5 = 6

y = 6

has no term in x.

that means 6 is the constant result of the line function, no matter what x value we pick.

and that means this is a horizontal line (parallel to the x-axis) going through the point y=6 or (0, 6).

remember that the slope is the ratio "y coordinate change / x coordinate change".

but y is not changing at all, the change or difference is always 0 no matter what points we pick on the line.

and so, the slope ratio is always "0/...". and that is 0.

so, the slope of that line is 0.

but if there is a typo, then please know : the slope of a line

y =ax + b

is always a (the factor of x).

6 0
3 years ago
What is 2-1+5×4×11 order of operation ​
Alenkasestr [34]

Answer:

221

Step-by-step explanation:

2 - 1 + 5 · 4 · 11 = 2 - 1 + 20 · 11  = 2 - 1 + 220

2 - 1 + 220 = 1 + 220

7 0
3 years ago
What is 8/16 I will give brainlyist
zepelin [54]

Answer:one half

Step-by-step explanation:

3 0
3 years ago
An empty cubical carton is side 7cm. Can you fill 1000 cubes of side 1cm in it ?
Shalnov [3]
An empty cubical carton of side 7cm has the volume:
7 x 7 x 7 = 343cm³

A cube of side 1cm has the volume:
1 x 1 x 1 = 1cm³

From this, we can see that a 1000 cubes of side 1cm has the volume:
1000 x 1cm³ = 1000cm³

But we know that the cubical carton of side 7cm only has a volume of 343cm³.

Since 1000cm³ > 343cm³,
you cant fill 1000 cubes of side 1cm in such a carton.

TL;DR
No

Hope this helps
8 0
2 years ago
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