Which is the equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5)?

Answers

Answer 1
Answer: (-x-3)^2 + (y-1)^2 = 25

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The dimensions of a large room are double the dimensions of a small room.Both rooms are rectangular prisms. The volume of the small room is 10 cubic
metres.
What is the volume of the large room?

Answers

The volume would be 80 cubic metres. Think about the three different dimensions for the small room as x,y and z. Therefore the volume is x*y*z= xyz. Now for the bigger room, the dimensions would be 2x,2y and 2z. Therefore, its volume would be 2x*2y*2z= 8xyz. Since xyz (volume of the smaller room)= 10 cubic metres, the bigger room's volume will be 8*10= 80 cubic metres.

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Answers

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3  = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation that models the diver's position with respect to time.

Answers

Answer:

f(t)=t²-12t+11

Step-by-step explanation:

1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).

These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.

2) Plugging it in and writing it as groups:

f(t) = returns in feet

t= for time

f(t) =(t-1)(t-11)

Distributing the factors multiplying (t-1) times (t-11), goes:

f(t) =t²-12t+11

x^2 -12x +11

We have the x intercepts so we can create the equation (x-1)(x-11).  Multiply it and you get your answer

The ages of Sara and Samia are in the ratio 3: 5. Six years from now the ratio oftheir ages will be 2:3.Find their present ages.

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Even i need help with this one lol

What times what equals 56

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7x8 = 56 so 7x8 is the correct answer
6 * 7 = 56
6 and 7 are the two numbers easiest to multiply to get 56.

What is the slope of a line that is perpendicular to the line y = -x + 4?The slope of the line is
y=5-6x

Answers

Answer:

1 is the slope

Step-by-step explanation:

For perpendicular lines, you need to find the negative recipricol which would be 1 for -1

Answer:

y=x+4

Step-by-step explanation:

just flipped the sign of the slope and the line will go the other way

this question is worded a little weird because the y is not what represents slope in the formula so. Assuming that, the answer to the first part should be correct