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Schach [20]
4 years ago
5

PLEASE HELP ASAP!!!!! Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which

of the following is the equation of Leo's line? line on coordinate plane that passes through 0 comma negative 2 and 1 comma 1 y − F = −1 over 3 (x − G) y − G = −1 over 3 (x − F) y − G = −3(x − F) y − F = −3(x − G)
Mathematics
1 answer:
aliya0001 [1]4 years ago
7 0

Answer:

y -G = -1/3 ( x- F)

Step-by-step explanation:

The line on the plane has a slope

m = (y2-y1) /(x2-x1)

(0,-2) and (1,1)

   = (1- -2)/( 1-0)

   = (1+2)/(1-0)

    = 3/1

Perpendicular lines have slopes that multiply to -1

m * 3 = -1

Divide by 3

m = -1/3

The perpendicular line has a slope of -1

The point slope equation is

y - y1 = m(x-x1)

y -G = -1/3 ( x- F)

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liberstina [14]
Micheal has 40ft of fencing for the rectangular dog run. So the perimeter of the dog run is 40ft.

Perimeter=40ft

The perimeter of a rectangle is:

P=2l+2w

Since we know the length is 5 and the perimeter is 40, we can solve for the width.

P=2l+2w
40=2*(5)+2w
40=10+2w
subtract 10 from both sides
30=2w
divide both sides by 2
15=w

The width of the fence is 15feet.

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3 years ago
Write the differential equation model that fits the given description. (a) The rate of change of the volume of a snowball (due t
miskamm [114]

Answer:

a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3

\frac{dV(t)}{dT} = A*V(t)^{2} \\ and V(0) = 900cm^{3}

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to V(t)^{2}. Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.

(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.

\frac{dr(t)}{dt}  = B*\sqrt{r(t)}

Here again appears a constant B for the "proportional" part. And i wrote the velocity as \frac{dr(t)}{dt} "the rate of change of the position with respect to te time".

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3 years ago
Okay these last two are the last ones i need help on!
icang [17]
21) 5 shelves
22)385mm

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3 years ago
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leonid [27]

Answer:

23/4

Step-by-step explanation:

8 0
3 years ago
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3 years ago
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