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4 years ago

How to solve 5y + 34 = -2 (-7y+1)

Mathematics

1 answer:

luda_lava [24]4 years ago

5 0

Answer:

y = 4

Step-by-step explanation:

Step 1: Write out equation

5y + 34 = -2(-7y + 1)

Step 2: Distribute

5y + 34 = 14y - 2

Step 3: Subtract 5y on both sides

34 = 9y - 2

Step 4: Add 2 to both sides

36 = 9y

Step 5: Divide both sides by 9

4 = y

Step 6: Rewrite

y = 4

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Answer:

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Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

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