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2 years ago

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Mathematics

1 answer:

Alchen [17]2 years ago

4 0

Answer:

$\large\boxed{y=\dfrac{4}{3}x}$

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

$m=\dfrac{y}{x}$

We have the point (6, 8). Substitute:

$m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}$

Finally:

$y=\dfrac{4}{3}x$

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Evaluate this problem<br> 8²+18-2(6+2)÷4

ale4655 [162]

I hope this helps. Good Luck!

4 0

3 years ago

Read 2 more answers

2 1/6 - (-8/3) + (-4 7/9) =

Vladimir [108]

Answer:

1/18

Step-by-step explanation:

First make it so they all have the same denominator.

So...

2 3/18 - (- 48/18) + (- 4 14/18)

Then we remove parenthesis...

2 3/18 +48/18 - 4 4/18

1/18

hope this helps

brainliest?

5 0

2 years ago

Which are the solutions of x2 = -5x + 8?

Oksana_A [137]

Answer:

1.27, -6.27 to the nearest hundredth,

or if you require it in exact form,

-2.5 + √14.25, -2.5 - √14.25.

Step-by-step explanation:

x^2 = -5x + 8

x^2 + 5x = 8

Competing the square:

(x + 2.5)^2 - 6.25 = 8

(x + 2.5) = 14.25

x + 2.5 = +/-√14.25

x = -2.5 + √14.25, -2.5 - √14.25

x = -2.5 + 3.77, -2.5 - 3.77

= 1.27, -6.27.

6 0

3 years ago

For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory bu

zhenek [66]

Answer:

Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Step-by-step explanation:

cost of gas per gallon = $2.78

it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.

Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Let the quantity of gas bought be x gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Thus, Cory bought 6.47 gallons

rate of change is $2.78 per gallon

4 0

3 years ago

Rotate angle ABC 90 degrees clockwise about the origin and then reflect over the x-axis

Lady_Fox [76]

Rotation and reflection are instances of transformation

See attachment for the new position of $\triangle ABC$

From the question, we have:

$A = (-1,1)$

$C = (-2,4)$

The rule of 90 degrees clockwise rotation is:

$(x,y) \to (y,-x)$

Using the above transformation, the new points would be

$A' = (1,1)$

$B' =(3,3)$

$C' = (4,2)$

The next transformation is reflection over the x-axis

The rule of this transformation is:

$(x,y) \to (x,-y)$

So, the new points would be:

$A" = (1,-1)$

$B" = (3,-3)$

$C" = (4,-2)$

See attachment for the new points