The lengths of two sides of a triangle are shown below:

Mathematics

1 answer:

Feliz [49]3 years ago

3 0

Answer:

Part A) $(3x^2 - 6x - 10) + (5x^2 + 9x - 8 ) =8x^2 + 3x - 18$

Part B) $(10x^2 - x - 3) - (8x^2+3x-18) = 2x^2 -4x+15$

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Given:<br> f(x)=x^2<br> g(x)=x-1<br> Find f(g(2))+g(f(-1))

Marina CMI [18]

Answer:

-1

Step-by-step explanation:

First, we need to work out the left-hand side.

find g(2) → g(2) = 2 - 1 which is 1
next, find f(1) → f(1) = 1³ which is 1

Now, we can work out the right hand side.

find f(-1) → f(-1) = -1³ which is -1
then, find g(-1) → g(-1) = -1 - 1 = -2

Finally we can work out the full sum: 1 + -2 = -1.

Hope this helps!

8 0

2 years ago

Kate wants to divide 20,000 peso savings between her 2 cousins. If she divides it in the ratio 2:3 between Maria and Ana, respec

lara [203]

Maria: 2x

Ana: 3x

2x + 3x = 20000

5x = 20000

x = 20000/5

x = 400

Maria: 2x

2× 400

8000

Anna: 3x

3 × 400

12000

8 0

2 years ago

What is the area of the shaded segment?

Whitepunk [10]

Answer:

$6\pi-9\sqrt{3$

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation $A=\pi nr^2/360$ where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is $\pi (60)(6^2)/360=6 \pi$

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is $\sqrt{3}r^2/4$ where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of $9 \sqrt{3}$