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2 years ago

OUICK PLEASE Find the equation of the line

Mathematics

1 answer:

snow_lady [41]2 years ago

6 0

Answer:

y = 2x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = ( 0, 4) ← 2 points on the line

m = $\frac{4-0}{0-(-2)}$ = $\frac{4}{0+2}$ = $\frac{4}{2}$ = 2

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 2x + 4 ← equation of line

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Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

4 years ago

NEVER MIND I SOLVED IT

IRISSAK [1]

Answer:

There is none

Step-by-step explanation:

I dont know

3 0

3 years ago

Can a triangle be formed with the side lenghts of 8cm, 4cm, and 12cm

ioda

No, because the sum of the measures shorter legnths of the sides must be greater than the measure of the greatest angle

4+8=12
so therefor the side legnths if you tried to make into a triangle, it would make a line 12 units long

<span>no is the answer</span>

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3 years ago

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The wholesale price for a dozen pairs of socks is $4.30. The retail price for the same dozen pairs of socks is $9.25. What is th

Mandarinka [93]

Answer:

the mark up used by the retailer is 115.12% of the wholesale price

Step-by-step explanation:

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Mark-up = (difference between retail and whole sale price / retail price ) x 100

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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