Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x,y) point.


y = x2 – 2x - 3


(X2) the 2 pose to be on the top right of x as in power to the 2

Answer: inches maybe

Step-by-step explanation:

Answer:

1. 9

2. 11

3. 2

4. 4.1

5. 0 if 2/3

6. 15 if it is 5/8 and 16.67 if it is 5/6

Given:

The vertex form of a quadratic equation is

[tex]y=-5(x+2)^2-10[/tex]

To find:

The standard form of the given quadratic equation.

Solution:

We have,

[tex]y=-5(x+2)^2-10[/tex]

Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex]y=-5(x^2+2(x)(2)+(2)^2)-10[/tex]

[tex]y=-5(x^2+4x+4)-10[/tex]

Using distributive property, we get

[tex]y=-5x^2-20x-20-10[/tex]

[tex]y=-5x^2-20x-30[/tex]

Therefore, the standard form of the given equation is [tex]y=-5x^2-20x-30[/tex].

Answer:

a) x = 10

b) DA = 24

c) perimeter = 110

Step-by-step explanation:

a) Since it's a parallelogram, the opposite sides are of equal length. This means that line DC = AB, so u can substitute in the values and solve for x:

DC = AB

5x - 18 = 2x + 12           (move terms so that like terms are on the same side)

5x - 2x = 12 + 18           (simplify like terms)

3x = 30                         (divide by 3 on both sides to isolate the x)

x = 10

b) now that u know the value of x, you can use it to find the length of DA. again, opposite sides are equal, so DA = BC, which means DA = 3x - 6. substitute in your known value of x and solve:

3x - 6

= 3(10) - 6

= 30 - 6

= 24

Therefore, the length of DA - 24

c) Since u know the length of DA (and therefore BC), u just have to find the length of either DC or AB and then multiply that by 2 and add it.

First, substitute in the value of x for either DC or AB (i'm gonna use AB)

2x + 12

= 2(10) + 12

= 20+12

= 32

now, to find the perimeter use this formula: 2(AB) + 2(DA)

this equals to 2(32) + 2(24) = 64+46 = 110

and that's the perimeter!

hope this helps!

Answer:

A. C. D.

Step-by-step explanation:

Original: 10-5(2)+(18-11)=7

A: 28/(4)=7

C: 49-43+(1)=7

D: 30-25+(2)=7

4.4 pounds $2.35 = $.53 per pound

10 pound $4.99 = $ .49 per pound

Answer:

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier- it will never be the same but there will be a pattern. Exponential functions are used in real world situations such as bacterial growth/decay, population growth/decline, and compound interest. Linear functions/equations can be used for comparing rates of pay. Hope this helped!

Step-by-step explanation:

Answer:

The tax is $1.60 bringing her total to $41.60

Answer: im getting free points dont get mad at me this person already answered so take full credit for him

Step-by-step explanation:

Answer:

Angle 1 is 58 and Angle 2 is 32 because all triangles equal to 180 and where the lines bisect creates a 90 degree angle in each triangle. Add 90 and 32 together, then minus 122 from 180 and you get angle 1 and the angle across from angle 1. For angle 2, add 58 and 90, then subtract that from 180. You'll end up getting 32

Answer:

Step-by-step explanation:

B, y=5x

Answer:

A

Step-by-step explanation:

6:30

12:60              ALL reduce to 1/5

18:90

Answer:

The correct answer is 1/2×8×3.

Step-by-step explanation:

15^2-12^2

225-144

81

√81=9

21÷9=2.3333(recurring)

2.33333×15=x

X=34.999

or X=35 to 1 d.p

Answer:

it's going to get an order of division or multiplication

Answer: B=NEGATIVE 8

Step-by-step explanation:

3(b+8)

b= -8

Expanded Form

3b+24

-----------------------------

a.

3b + 24

Derivative

d/db (3b+24)=3

-----------------------------

Root

B = -8 (negative eight)

(hope this helped)

Answer:

(Base x Height)/2

Step-by-step explanation:

Think of a triangle as a square. Use the height times the base, but divide by two because a triangle is 1/2 of a square.

Hope i helped!

Answer:

I'm also struggling with that too

Answer:

y=-x+11

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

when reflecting over the y axis you just changed the sign of the x value. (:

Answer:(4,2) just take out the - symbol.

Step-by-step explanation:

Answer:

Y= -2x + 5000

Step-by-step explanation:

The linear equation which model the situation is y = 5000 - 2x

Given:

Total water remaining in the pool = Total quantity of water in the swimming pool - (Leakage per minute × Number of minutes)

y = 5000 - (2 × x)

y = 5000 - 2x

Therefore, the linear equation which model the situation is y = 5000 - 2x

Learn more about linear equation:

https://brainly.com/question/4074386

Answer:

7/-6

Step-by-step explanation:

y2-y1/x2-x1

6--1/-2-4

6+1/-2-4

7/-6

Hope This Helps!!

Answer: angle 2 is 90     angle 1 is 90

4&5 are acute

1&4&5 are obtuse/180

3&2 are obtuse/180

1&3 are right angles/90

Step-by-step explanation:this will take way to long to explain so just ask your teacher if you don't understand it. but these are right.

Answer and Explanation

__________________________________________________________

__________________________________________________________

The answer is -24.5 because...

[tex]\frac{1}{2}[/tex] = [tex]0.5[/tex]

and

[tex]-24[/tex] = [tex]-24[/tex]

__________________________________________________________

[tex]-24[/tex] [tex]+[/tex] [tex]0.5[/tex] = -24.5

__________________________________________________________

Hope this helps! :)

__________________________________________________________

Answer:

Total number of cat and dogs = 32

Step-by-step explanation:

Missing:

Total number of puppies = 18

Puppies percent = 36%

Find:

Total number of cat and dogs

Computation:

Total number of Animals = 18 (100/36)

Total number of Animals = 50

Total number of cat and dogs = Total number of Animal - Total number of puppies

Total number of cat and dogs = 50 - 18

Total number of cat and dogs = 32

Answer:

Step-by-step explanation:

y=-3/2x+5