What is the solution to 2x^2+8=x^2-16?

Let $G$ denote the centroid of triangle $ABC$. If triangle $ABG$ is equilateral with side length 2, then determine the perimeter

belka [17]

Hey there!

You are trying to find the perimeter of triangle ABC. Each side is 2. Since there are 3 sides on a triangle, multiply 2 by 3 to get 6. You do not need the centroid for this problem.

I hope this helps!

5 0

3 years ago

Surface Area of the pyramid

hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0

2 years ago

The answer to that algebra 2 equation

IRISSAK [1]

The answer is (2,-5)

3 0

3 years ago

What is the sum of the 12th square number and the 9th square number

Inessa [10]

Answer: 225

Step-by-step explanation:

<u>What is a square number</u>?

A square number is a product of a number times itself

So, the 12th square number would be 12 * 12, or 12²

The 9th square number would be 9 * 9, or 9²

The equation would be 12² + 9²

So:

12² + 9²

= 144 + 81

= 225

So, the answer is 225

6 0

2 years ago

Please help me with whatever you can i really need to get this done :)

Nady [450]

Answer:

7a) m=2x

7b) m=-3/4x

8)m=-5x

9) m=1/10x

10) 1/4x

Step-by-step explanation: So first what you want to do is take two points from your graph that you see that your line is on.

for example, on a), you would take lets say (3,2) and (0,-4)

*tip! if your X and Y intercepts are whole numbers it will be best to use them but if not, any two points will work.

so then you would first take your y coordinates of each point and plug it into the equation, $\frac{y^2-y^1}{x^2-x^1}$ .

so lets break it down!

so lets first take our y coordinates, (3,2) and (0,-4) and plug them into the equations

$\frac{-4-2}{x^2-x^1}$

so then lets subtract! -4 -2 gives us -6. so the numerator is -6.

lets now plug in our x values (3,2) and (0,-4)

$\frac{-6}{0-3}$

after we do the subtraction, we get -3 as our denominator.

so we are left with -6/-3. so -6/-3 gives us a slope of 2.

therefore you have Y=2x+b

Hopes this helps :)!

6 0

3 years ago