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Gemiola [76]
3 years ago
13

A snail travels at a rate of 2.35 feet per minute. Write a rule to describe the function. How far will the snail travel in 5 min

utes?
Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

distance = speed x time

distance = 2.35 x time

distance = 2.35 x 5

distance = 11.75 feet in 5 minutes

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gladu [14]

Answer:

6 times 3 times 4

18 times 4

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Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
2 years ago
Clare and Noah play a game in which they earn the same number of points for each
Korvikt [17]

6x+3y=6  and 8x+9y= -22  describes the outcomes of Clare and Noah.

Step-by-step explanation:

Let,

x represents the number of points for a goal.

y represents the number of points for a penalty.

Therefore,

6 goals = 6x

3 penalties = 3y

8 goals = 8x

9 penalties = 9y

According to given statment;

6x+3y=6    Eqn 1

8x+9y= -22   Eqn 2

6x+3y=6  and 8x+9y= -22  describes the outcomes of Clare and Noah.

Keywords: linear equation, variables

Learn more about linear equations at:

  • brainly.com/question/13218251
  • brainly.com/question/1332667

#LearnwithBrainly

5 0
3 years ago
M<br> /<br> n<br> (x), x not equal to
azamat

Answer:

In M/n(x) x cannot be 0

Step-by-step explanation:

If any number is divided by 0, then that number is undefined and has no answer, so in math this is always avoided by not dividing with 0.

4 0
3 years ago
Use substitution method &amp; show your work.<br>y = x^2 + 3x - 1<br>4x + 1 = y
irina1246 [14]
4x + 1 = x^2 + 3x - 1
4x = x^2 + 3x - 2
0 = x^2 -x - 2
0 = x^2 -x + 1 - 3
0 = (x - 1)^2 - 3
3 = (x - 1)^2
sqrt 3=(x-1) and (-(x-1))
x = 1+sqrt 3 and 1-sqrt 3
sqrt means square root
7 0
3 years ago
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