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2 years ago

2x^2+9x-35 factor or foil

Mathematics

2 answers:

Alexandra [31]2 years ago

5 0

The final answer is:

(2x - 5)(x + 7)

notka56 [123]2 years ago

4 0

You would need to facto 2x² + 9x - 35 to get (2x - 5)(x + 7).

We can find this first by dividing the 2x² into 2x and x, which we can put into the brackets:

(2x _ _)(x _ _)

Then we need to find two factors of -35 that have a difference of 9 when one is multiplied by 2, which gives us +7 and -5 as (7 × 2) - 5 = 14 - 5 = 9.

This gives our final answer as:

(2x - 5)(x + 7)

We cannot use foil on this expression as there are no brackets to expand.

I hope this helps!

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2 years ago

PLEASE HELP!!

PSYCHO15rus [73]

Answer:

The bird is approximately 9 ft high up in the tree

Explanation:

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

Therefore, we can apply special trigonometric functions

These functions are as follows:

$sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}$

Now, taking a look at our diagram, we can note the following:

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the tan function

This is done as follows:

$tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft$ which is 9 ft approximated to the nearest ft

Hope this helps :)

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3 years ago