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motikmotik
3 years ago
9

What is the vertex of y=2(x+3)²+6

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0
Since the equation is given in vertex form, you can easily find the vertex.
The vertex form of the equation of a parabola is y=a(x-h)^2+k. The vertex is (h, k).
In your question, the vertex is (-3, 6).
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Jayson’s car can go 300 miles on 12.5 gallons of gasoline. How far can he drive on 42 gallons of gas?
fomenos
300\ miles\ on\ 12,5\ gallons\\
x\ miles\ \ on\ \ \ 42\ gallons\\\\
Making\ proportion:\\
300-12,5\\
x-42\\\\
Cross\ multiplication\\
300*42=12,5x\\\\12600=12,5x\ \ \ | divide\ by\ 12,5\\\\
x=1008\\\\
He\ can\ drive\ 1008\ miles\ on\ 42 \ gallons\ of\ gas.
6 0
3 years ago
Mr. James has cylindrical beakers that measure 4 inches in diameter and 9 inches high. What is the volume contained within the b
goblinko [34]
So 4 inches diameter result the radius is 4/2 = 2 inches 

area of base = pir^2 = 3,14*2^2 = 3,14*4 = 12,56 inches squared 

volume = area of base *height 

V = 12,56 *9 = 113,04 so rounded 113,05 inches cubed 

hope this will help you 
3 0
3 years ago
A jet travels at 483 miles per hour. Which equation represents
WINSTONCH [101]

Answer:

d=483t

Step-by-step explanation:

If i recall correctly

distance = velocity * time

This means that

d=483t

8 0
3 years ago
Choose a room in your home. Suppose small lights are going to be hung from one corner of this room to the opposite corner across
Natalka [10]

Answer:

Bed Room

Step-by-step explanation:

You can see what shape the room is.

But you cant awnser this because it has no visual work to use

3 0
3 years ago
Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1? (1, –1) (0, 0) and (0, –1) (0,
olganol [36]

ANSWER

No solution

EXPLANATION

The first equation is

y =  {x}^{2}  - 2x

and the second equation is

y =  - 2x  - 1

We equate the two equations to obtain;

{x}^{2}  - 2x =  - 2x - 1

This implies that

{x}^{2}  =  - 2x + 2x - 1

{x}^{2}  =  - 1

There is no real number whose square is -1.

Therefore, the equation has no solution.

6 0
3 years ago
Read 2 more answers
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