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Vaselesa [24]
3 years ago
15

What is the coordinates of the vertex in the equation: y = (x-3)^2 + 2?

Mathematics
1 answer:
SashulF [63]3 years ago
3 0
This equation is already in vertex form.
the vertex is when (x-3)=0, x=3
when x=3, y=2
so the vertex is (3,2)
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Jimmy drove to his cabin on the lake and back. it took 0.6 hours longer to go there than it did to come back. the average speed
Neporo4naja [7]
To answer this item, we let x be the distance that Jimmy drove from his origin and back. Given the speeds, the time it takes for him to travel to and fro are,
                                   t1 = x / 46
                                   t2 = x / 52
respectively.

The equation that would best represent the scenario is,
                              x/46 - x/52 = 0.6
The value of x from the equation is 239.2.

The trip there takes x/46 which is equal to 239.2/46 which is also equal to 5.2 hours. The travel from the cabin back took 4.6 hours. 
8 0
3 years ago
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A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 576 cm2. An exact number
saveliy_v [14]

Answer:

Area of floor = 21.6m2

area of tile = 576cm2=0.0576m2

now,

number of tiles = 21.6/0.0576

= 375

7 0
3 years ago
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Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the dist
lesya [120]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

v = x + ( x-3 )\\\\v = 2x - 3

Now, distance travelled in 3 hours is (98-2) miles .

So,

2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

5 0
3 years ago
X^2+y^2≤ 4y, x^2+y^2≤4x
lisabon 2012 [21]

Answer:

0 what is the question man what

7 0
3 years ago
Please help me!<br><br> ty :)
dalvyx [7]

Answer:

x intercept= (-3,0)  y intercept= (0,3)

Step-by-step explanation:

for x intercepts, y should equal zero

for y intercepts, x should equal zero

x intercept: -x+0=3

-x=3

x=-3  (x,y)--> (-3,0)

y intercept: 0+y=3

y=3 (x,y)--> (0,3)

4 0
2 years ago
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