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3 years ago

Given: f(x) = x2 + 8x – 9 g(x) = x² – 2x + 15 What is f(x) – g(x)?

Mathematics

2 answers:

Mice21 [21]3 years ago

6 0

Answer:

(f⋅g)(x)=8x^2−2x−15

Step-by-step explanation:

To find the expression (f*g)(x), multiply f(x) into g(x) using the distribution property.

(f*g)(x) = (2x - 3)(4x + 5) = 8x² - 12x + 10x - 15 = 8x² - 2x - 15

Doss [256]3 years ago

5 0

F(x)-g(x)
=(x2 +8x -9)
- (x2 -2x +15)
______________
(do this at calculator)
first , (x2-x2) = 0
second ,(+8x-(-2x)) = 10
third , (-9-(+15))= -24

=0+10x-24

you can try this on calculator by the brackets that i have shown you
in basic math
:when +(- = -
: when -(- = +

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Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

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y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

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Now let's divide the shortest sides of each triangle in the same order

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Repeat for the middle-most sides

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

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2 years ago

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fiasKO [112]

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