3 years ago

Solve the simulateous equation 3x-4y=18 , 9x+2y=12

Mathematics

1 answer:

Naya [18.7K]3 years ago

6 0

X=2 Y=-3
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Find the perimeter of the polygon with the vertices A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

Brilliant_brown [7]

Given:

The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

To find:

The perimeter of ABCD.

Solution:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(4-(-1))^2+(1-1)^2}$

$AB=\sqrt{(4+1)^2+(0)^2}$

$AB=\sqrt{(5)^2}$

$AB=5$

Similarly,

$BC=\sqrt{(4-4)^2+(-2-1)^2}=3$

$CD=\sqrt{(-1-4)^2+(-2-(-2))^2}=5$

$AD=\sqrt{(-1-(-1))^2+(-2-1)^2}=3$

Now, perimeter of ABCD is

$P=AB+BC+CD+AD$

$P=5+3+5+3$

$P=16$

Therefore, the perimeter of ABCD is 16 units.

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3 years ago

What is the equation of the line that passes through the points (1, 1) and (5, 5)?

OLEGan [10]

Answer:

(5-1)/(5-1)= 4/4= 1

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Step-by-step explanation:

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Differentiate. The answer is supposed to be -3/ sqrt 4-x^2

Margarita [4]

Answer:

Step-by-step explanation:

$g(x)=\cos^{-1} (\frac{x}{2})\\g'(x)= \frac{- 1}{\sqrt{1-(\frac{x}{2})^2}}*\frac{1}{2} \\=\frac{-1}{\sqrt{4-x^2} }$

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4 years ago

Can you help me with these two problems please?? 35 and 36.

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35. You just do 35 * .6 and you get 21 rocks.

36. Multiply 10 yards by 3 to get 30 feet then by 12 to get 360 inches and then divide by 6 to get 60 pieces.

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Use the graph to find the solution to this system of linear equations.

leva [86]

Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

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3 years ago