Write a quadratic equation for a parabola with roots at (-2, 0) & (4,0) and a y-intercept at ( 0, -16) Write your answer in factored form

[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]

[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]

See workings in the attached picture !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

Answer:

f(_6) = _7(_6)_5

=42_5

=37

Answer:

62.5957447

Step-by-step explanation:

= 62 R 56

= 62 56/94

= 62 28/47

Answer:

The answer is 62.6

Step-by-step explanation:

Answer:

Hi! The correct answer is 3x-4y=8

Step-by-step explanation:

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

Answer:

C) 20

Step-by-step explanation:

3^4−21/3

Convert the exponent to a number

=81−21/3

Subtract

=60/3

Simplify

=20

It's always okay if your not sure about something

keep on trying :D

Answer:

C

Step-by-step explanation:

I read it.

Answer:

Step-by-step explanation:

To increase Readers' interest.

Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.

Answer:

B, 4

Step-by-step explanation:

The greatest common factor of 20 and 28 is 4

Answer:

The new points under the translation are (-8,8) and (-8,8)

Step-by-step explanation:

The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw  

similar it is just 3 times bigger but similar

Answer:

3.25

Step-by-step explanation:

Answer: 3/5

Step-by-step explanation:

[tex]\frac{6-3}{5-0}=\boxed{\frac{3}{5}}[/tex]

Answer:

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do

39 x 20 = 780

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

Answer:

a) b^4×b^5

hope it helps..,

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Answer:

someone answer this pls

Step-by-step explanation:

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

Answer:

36

Step-by-step explanation:

88 - 52

=36

Answer:

1. The judge should set a reasonable bail

2. All women

Step-by-step explanation:

Answer:

11. C. Maria should be allowed to call witnesses to support her innocence.

12. C. All women

Step-by-step explanation:

11. If she's pleading not guilty then she should have the right to get a witness.

12. This is the 19th amendment that granted women the right to vote.

Answer:

The distance should be 10 I believe

Answer:

1/2

Step-by-step explanation:

So we multiply 2 by 6, and get 12.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators

So now our fractions look like this:

12/18-3/18

Since our denominators match, we can subtract the numerators.

12 − 3 = 9

So the answer is:

9/18

So we reduce it:

9/18divided by 3=3/6

so since it’s equivalent we reduce it again

3/6divided by 3 which equals 1/2

and that’s our final answer 1/2

I hoped that this helps :)

Answer:

N-Natural

R-Real

Z-integer

Q-rational

Answer:

The answer is 357

Step-by-step explanation:

Answer:

V=πrh/2

Step-by-step explanation:

volume of a cylinder can be calculated using below formula

V=πr2h

Given:

radius =2r cm

height= h/4cm

If we substitute the given value into the formula we have πrh/2

V= π ×(2r) ×(h/4)

Simplyfying

V=πrh/2

Hence, The volume of a cylinder is V=πrh/2

Answer:

2/7

Step-by-step explanation:

7x/7=2/7

Simplify:Cancel terms that are both the numerator and denominator

Solution: 2/7