The equation for the rollercoaster before is f(x)=-0.2x^2-2x

Find the vertex algebraically

Hint: x=-b/2a

Answer/Step-by-step explanation:

Problem 1:

E is the centroid of the triangle.

Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.

This implies that:

AE = ⅔(AD)

AE = 21

Therefore:

21 = ⅔(AD)

3*21 = 2(AD)

(3*21)/2 = AD

31.5 = AD

AD = 31.5

Problem 2: Apply the centroid theorem. Thus:

DE = ⅓(AD)

DE = 12

Therefore,

12 = ⅓(AD)

12*3 = AD

36 = AD

AD = 36

Answer:

24, 21, 15, 12

Step-by-step explanation:

Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.

[tex]y=30-3(2)=30-6=24[/tex]  [tex](2, 24)[/tex]

[tex]y=30-3(3)=30-9=21[/tex]  [tex](3, 21)[/tex]

[tex]y=30-3(5)=30-15=15[/tex]  [tex](5, 15)[/tex]

[tex]y=30-3(6)=30-18=12[/tex]  [tex](6, 12)[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.

__

If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...

  y = 30-3(2) = 30 -6 = 24 . . . for x=2

Answer:

4

Step-by-step explanation:

2x-3 = 5

2x = 8

x = 4

Hope this helps

I hope this helps you

in similar triangle sides are can be rate

ABC~EFD

AB/EF=BC/FD=AC/ED

5/2x-3=6/FD=4/9

9.5/4=2x-3

11.25+3=2x

2x=14.25

x=7.125

Answer:

Yes.

Step-by-step explanation:

If you change nothing but the angle and positioning of the original shape, then it is congruent.

Answer:

love

Step-by-step explanation:

you

Answer:

b

Step-by-step explanation:

a submarine cant go above 0 and it shows on the graph the lowest it will go is -300

Let's consider the scenario after each year:

After the zeroth year, the population is: 120 000(1 + 0.04)⁰

After the first year, the population is: 120 000(1 + 0.04)¹

After the second year, the population is: 120 000(1 + 0.04)²

...

Thus, we can find the general rule:

After the nth year, the population is: 120 000(1 + 0.04)ⁿ

And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Answer:

the function f(x) = 2x - 1 indicates:

a downward shift of 1 unit

as the y-intercept: (0, -1)

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

:

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

Answer:

distance is estimated 11

Answer:

x= -1

Step-by-step explanation:

you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

Answer:

x=3

Step-by-step explanation:

Hope this help and plz give me brainlist.

Answer:   x=3

Step-by-step explanation:   cuz Im know how to solve for x.    Hope its good!

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Hi there,

In order to solve this problem, you have to know the Pythagorean Theorem:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).

⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]

⇒ 45 = [tex]c^{2}[/tex]

⇒ c = [tex]\sqrt{45}[/tex]

Hope this explanation helps. Cheers.

Answer:

C. 85

Step-by-step explanation:

If you look closely to the protractor, r is in the middle of 80 and 90 which is 85

Answer:

Decreased I think because they bumped into the other person

Step-by-step explanation:

Answer:

increased

 i just heard my brother say it because he's in highschool. TwT

Answer:

x = 2, y = -1

Step-by-step explanation:

Assuming it should be y not g

y = -2x + 3

-2y = -6x + 14

y = 3x - 7

-2x + 3 = 3x - 7

10 = 5x

x = 2

y = -1

Answer:

2 to the power of 2 times three to the power of 2

3 to the power of 2 times 5 to the power of 2

6 to the power of 2 times 7 to the power of 3

7 to the power of 2 times 5 to the power of 3

3 to the power of 2 times 5 to the power 2 times 7 to the power of 2

Step-by-step explanation:

Answer:

y<3

Step-by-step explanation:

6y<18

y<18/6

y<3

I hope this helps

Answer: you can see what number times 6 gets you 18 so it would be y<3

Step-by-step explanation: