# To the nearest hundredth, what is the distance between point (-6, -1) and point (4, 3)?

QUESTION POSTED AT 15/01/2020 - 03:11 AM

The distance between point (-6, -1) and point (4, 3) is 10.77.

## Related questions

### The image of a point after a –90° rotation about the origin is (–4, 7). What are the coordinates of the preimage?

The point (-4, 7) is in the 2nd quadrant. The coordinate of the preimage of a -90 degrees rotation that resulted to point (-4, 7) will be in the third quadrant. (i.e. both x and y is negative). Hence, answer is (-7, -4).

ANSWERED AT 29/01/2020 - 05:41 PM

QUESTION POSTED AT 29/01/2020 - 05:41 PM

### How could Brent use a rectangle to model the factors of x2 – 7x + 6? A. He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12. B. He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6. C. He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6. D. He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12

That would be C....x^2 - 7x + 6 = (x - 1)(x - 6)

ANSWERED AT 29/01/2020 - 05:40 PM

QUESTION POSTED AT 29/01/2020 - 05:40 PM

### Solve for g. -6g + 3g + 12 > -18

Start by combining like terms on both sides
-6+3=-3
Now we have:

To isolate g we need to subtract 12 from both sides -18-12= -30

Now we have

Divide both sides by -3 to isolate g, now we have:

When we divide an inequality by a negative we flip the sign so:

becomes:

ANSWERED AT 29/01/2020 - 05:38 PM

QUESTION POSTED AT 29/01/2020 - 05:38 PM

### The domain of the following relation R {(6, −2), (1, 2), (−3, −4), (−3, 2)} is

The domain is all the x values...so he domain is { 6,1,-3}

ANSWERED AT 29/01/2020 - 05:38 PM

QUESTION POSTED AT 29/01/2020 - 05:38 PM

### If (f + g)(x) = 3x2 + 2x – 1 and g(x) = 2x – 2, what is f(x)? 3x2 + 1 3x2 – 1 3x2 + 4 3x2 – 4 x2 – 2

(f + g)(x) = 3x^2 + 2x – 1
g(x) = 2x – 2
f(x) = ? ; 3x^2 + 1

Check by Substituting:
3x^2 + 1 + 2x - 2

Simplify:
3x^2 + 2x - 1

ANSWERED AT 29/01/2020 - 05:38 PM

QUESTION POSTED AT 29/01/2020 - 05:38 PM

### A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 36t + 9. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?

A. At 36 ft/s , it would reach the maximum height in 0.81 seconds
B. Highest height would be 29.25 feet

ANSWERED AT 29/01/2020 - 05:37 PM

QUESTION POSTED AT 29/01/2020 - 05:37 PM

### Here's another one :) Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend \$10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet. x = __________________ ft

Area Of Triangle:

4/2 = 2
2x6 = 12

12x2 = 24ft^2

Remaining area:

150 - 24 = 126ft^2

Maximum length:

126/6 = 21

x = 21ft

ANSWERED AT 29/01/2020 - 05:37 PM

QUESTION POSTED AT 29/01/2020 - 05:37 PM

### How would the construction be different if you changed the compass setting in step 4 of the perpendicular bisector construction?

A bisecting line could not be drawn.

Step-by-step explanation:

If the compass width was changed, then we could not trace a bisecting line. Different arc measures would not intersect each other, at the center.

So, we would not be able to trace a bisecting line. We would have something like the picture below.

ANSWERED AT 29/01/2020 - 05:37 PM

QUESTION POSTED AT 29/01/2020 - 05:37 PM

### A given line has the equation 10x 2y -2.What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?)x 12O Submitted

10x + 2y = -2
2y = -10x - 2
y = (-10/2)x - 2/2
y = -5x - 1...the slope here is -5...a parallel line will have the same slope.

y = mx + b
slope(m) = -5
(0,12)...x = 0 and y = 12
now we sub...we r looking for b, the y intercept
12 = -5(0) + b
12 = b

so ur parallel line is : y = -5x + 12

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

### A given line has the equation 10x -2.2y What is the equation, in slope-intercept form, of the line that is parallel to given line passes through the point (0, 12)?the and )x 12submitted

10x + 2y = -2

2y = -10x - 2

y = -(10/2)x - 2/2

y = -5x  - 1    y = mx + c,   slope m = -5.

If it is parallel, then the slope of the second line ought to be -5 as well.

So you should fill -5 in the bracket.

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

### Simplify. Cos ^-1 (square root 3/2

Hello,

As

=π/6+2kπ or -π/6+2kπ

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

### Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 2x+7y=4 -4x -3y=14

2x + 7y = 4.....multiply by 2
-4x - 3y = 14
------------------
4x + 14y = 8 (result of multiplying by 2)
-4x - 3y = 14
11y = 22
y = 2

2x + 7y = 4
2x + 7(2) = 4
2x + 14 = 4
2x = 4 - 14
2x = - 10
x = -5

solution is : (-5,2)

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

### Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Check all that apply. a. 2.3p – 10.1 = 6.4p – 4 b. 2.3p – 10.1 = 6.49p – 4 c. 230p – 1010 = 650p – 400 – p d. 23p – 101 = 65p – 40 – p e. 2.3p – 14.1 = 6.4p – 4

1. In the right side you have three terms, two of them include p, so you can rewrite right side as

Then the whole equation is

as in option B. This means that option B is true and option A is false (because left sides are the same, but right sides differ).

2. Now multiply the equation by 100:

this equation is exactly as equation in option C. This gives you that option C is true.

3. Now multiply the equation by 10:

this equation differs from the equation in option D (because left sides are the same, but right sides differ). This gives you that option D is false.

4. At last, subtract 4 from the equation :

this equation differs from the equation in option E (because left sides are the same, but right sides differ). This gives you that option E is false.

Answer: correct choices are B and C.

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

### What is the common ratio for the sequence 1, 4, 16, 64

Multiply the value by 4 for the next value.
1:4 ratio

ANSWERED AT 29/01/2020 - 05:34 PM

QUESTION POSTED AT 29/01/2020 - 05:34 PM

### A cylindrical container is packaged inside a prism-shaped box. The box has a volume of 96 cubic units. If the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? Round the answer to two decimal places.

The volume of the empty space is 20.57 unit³.

Step-by-step explanation:

Given,

The volume of the box = 96 cubic units,

Also, the cylindrical container is packed inside the box.

We know that,

The volume of a cylinder is,

Where r is the radius of cylinder,

h is its height,

Here, r = = 2 unit   ( Radius = Diameter / 2 )

And, h = 6 units

Thus, the volume of the cylindrical container is,

Hence, the volume of the empty space between the cylinder and the box = Volume of the box - Volume of the container

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

### What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2? the quantity of 3 over 2 the quantity of x plus 3, all over 2 the quantity of x minus 3, all over 2 the quantity of 2x plus 11, all over the quantity 2

we know that the expression is equal to

Subtract the two fractions

therefore

the quantity of over

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

### The coordinates on the coordinate grid is (-1,5) the point is reflected across the x-axis to obtain a new point . The coordinate of the reflected point is?

1,5 I think because the x is negative so it would become positive and the y would stay the same.

ANSWERED AT 29/01/2020 - 05:32 PM

QUESTION POSTED AT 29/01/2020 - 05:32 PM

### Find the zeros of the function. f(x)= 3x^3- 12x^2- 15x a. 0, 1, and -5 b. -1 and 5 c. 0, -1, and 5 d. 1 and -5

F(x) = 3x³ - 12x² - 15x

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:
3x = 0
x + 1 = 0
x - 5 = 0

3) Solve:
x = 0, -1, 5

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

### Evaluate 32 + (7 − 2) ⋅ 4 − 6 over 3.

Parenthesis statements are evaluated first such that 7-2 Is 5.
From left to right, multiplication and division are evaluated: 5×4=20 6/3 =2
Finally addition and subtraction equating finally to: 32 + 20 - 2 = 50

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

### If square root of 5 - x = 4 , then x= Is it 11 or -11 Please show your work. Here's mine Square root of 5 - x =4 (Square root of 5 - x)^2 = (4)^2 5 - x =16, x = -5. -5, × = ___________ X = 11

Hello,

√(5-x)=4
==>5-x=16
==>x=-11

Proof:

√(5-(-11))=√16=4

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

### What value of x makes this equation true? 6x/-4=6(-1/2) a) -2 b)2 c)3 d)-3

6x/-4 = 6(-1/2)
6x/-4 = - 3...multiply by -4
6x = -3 * -4
6x = 12
x = 2

ANSWERED AT 29/01/2020 - 05:30 PM

QUESTION POSTED AT 29/01/2020 - 05:30 PM

### A square field has an area of 10 square miles. What is the approximate length, to the nearest thousandth, of one side of this field? A.) 2.5 miles B.) 3 miles C.) 3.162 miles D.) 3.612 miles

Area x² = 10

x = √10 ≈ 3.16227

x ≈ 3.162 mile to the nearest thousandth.    Option C.

ANSWERED AT 29/01/2020 - 05:30 PM

QUESTION POSTED AT 29/01/2020 - 05:30 PM

### What is the equation of a line that is perpendicular to y=3x-2 and passes through the point (6,8)

APEX - y = -1/3x +10

Step-by-step explanation:

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

### A person who looks at a sequence of 14, 12, 10, 8 and decides that the next two terms are 6 and 4 is doing deductive thinking.

Yes so whats the question

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

### If g(x ) = 3x - 5, then g -1(x )=

G(x) = 3x - 5

let g(x) = y

y = 3x - 5

y + 5 = 3x

3x = y + 5

x = (y + 5)/3

From y = g(x),  x = g⁻¹(y)

x = (y + 5)/3

g⁻¹(y)  = (y + 5)/3

g⁻¹(x)  = (x + 5)/3

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

### A triangle has dimensions 3,4, and 5. A similar triangle is drawn with a scale factor of 2. What are the dimensions of the new traingle?

5,8, and 10 because you're scale factor is by 2, so you multiply your originals by the scale factor

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

### The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Step-by-step explanation:

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

By Pythagoras theorem,

In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

Hence,

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

### If ƒ(x ) = 3x + 1 and ƒ -1 = , then ƒ -1(7) =

F(x) = 3x + 1

let f(x) = y

y = 3x + 1

y - 1 = 3x

3x = y - 1

x = (y - 1)/3

From y = f(x),  x = f⁻¹(y)

x = (y - 1)/3

f⁻¹(y)  = (y - 1)/3

f⁻¹(7)  = (7 - 1)/3 = 6/3 = 2

f⁻¹(7) = 2

ANSWERED AT 29/01/2020 - 05:28 PM

QUESTION POSTED AT 29/01/2020 - 05:28 PM

### Divide: 6x^4-2x^3-13x-7 by 3x+8

Quotient: 2x^3 - 6x^2 +16x - 47 with a remainder of 369/(2x + 8)

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM

### The image of a point after a –90° rotation about the origin is (–4, 7). What are the coordinates of the preimage? A.(–7, –4) B.(–7, 4) C.(4, –7) D.(7, –4)

The point (-4, 7) is in the 2nd quadrant. The coordinate of the preimage of a -90 degrees rotation that resulted to point (-4, 7) will be in the third quadrant. (i.e. both x and y is negative). Hence, answer is (-7, -4).

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM