if your front yard is 65ft by 45ft and your backyard is 35ft by 45ft. how much fencing should you buy

1 answer:

3 0

If 45' is the width of the house, then the front yard would have 65+45+65 feet = 175 feet, and the back yard would have 35 + 45 + 35 = 115 feet.
the total would be 290 feet.

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3 years ago

Ethan Planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to

Sergeu [11.5K]

Answer: B. 1.85 + x = 5.30

Explanation:

The starting height of the tree was 1.85 meters. To find the number of meters the tree grew, you would subtract the current height from the previous height.
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What are the ordered pairs of the

9966 [12]

Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .