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3 years ago

4x +6y =0

2 answers:

4 0

Here, x - 2y = 14
x = 14 + 2y

Now, substitute this value into first equation,
4x + 6y = 0
4(14 + 2y) + 6y = 0
56 + 8y + 6y = 0
14y = -56
y = -56/14
y = -4

Substitute it into second equation,
x = 14 + 2(-4)
x = 14 - 8
x = 6

In short, Your Answer would be: (6, -4)

Hope this helps!

stiks02 [169]3 years ago

3 0

Subsitute
first solve for a single variable
solve for x in the 2nd ones

x-2y=14
add 2y
x=2y+14
sub that for x

4(2y+14)+6y=0
8y+56+6y=0
14y+56=0
minus 56 both sides
14y=-56
divide both sides by 14
y=-4
sub back

x=2y+14
x=2(-4)+14
x=-8+14
x=6

(x,y)
(6,-4)

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You move left 2 units and right 6 units. You end at (5, 5). Where did you start?

Flura [38]

Answer:

U started at point (1,5)

Step-by-step explanation:

-2 units, 6 units = (5,5)

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(1,5) after 2 units right

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3 years ago

An airplane is preparing to land at an airport. It is 41,300 feet above the ground and is descending at the rate of 3,100 feet p

MissTica

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Answer:

after 7 minutes
19,600 feet

Step-by-step explanation:

Here's the "pencil and paper" solution:

The two altitude equations are ...

y = 41300 -3100x
y = 2800x

They can be solved by setting the expressions for y equal to each other.

2800x = 41300 -3100x

5900x = 41300

x = 41300/5900 = 7

y = 2800·7 = 19600

The planes will both be at 19,600 feet after 7 minutes.

_____

Attached are solutions from a graphing calculator, and from a calculator app that is able to solve systems of equations.

I find the graphing calculator the easiest to use. I can enter equations using a keyboard, and the solution is displayed in a form that can be copied and pasted.

The calculator app on my phone requires equation entry using a small on-screen keyboard, with multiple key hits required to access some functions. (y is obtained by hitting the x key twice, for example.)

The "pencil and paper" solution is not so difficult, but requires a certain amount of writing (or good short-term memory). The solutions for x and y require separate calculations, whereas the other methods give both x and y at the same time.

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3 years ago

What is the length of a kite string that is 6 meters above and 9 meters away from where it is being held? Round to the nearest t

ivann1987 [24]

Answer:

10.8 meters

Step-by-step explanation:

This situation forms a right triangle, where the length of the kite string is the hypotenuse, the distance from where it is held is the long leg, and the height is the short leg.

Use the pythagorean theorem to solve for c, the length of the kite string.

a² + b² = c²

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36 + 81 = c²

117 = c²

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So, the length of the kite string is 10.8 meters

7 0

3 years ago

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3 years ago

Read 2 more answers

Which graph represents y= the cubed root of x

mars1129 [50]

ANSWER
See graph in attachment.
EXPLANATION

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The cubic root function is shown in the graph in the attachment.

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3 years ago