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

Answered by admin AT 15/01/2020 - 03:11 AM

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

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

-6g + 3g + 12 \ \textgreater \  -18

Start by combining like terms on both sides 
-6+3=-3
Now we have:
-3g+ 12 \ \textgreater \ -18

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

Now we have
-3g \ \textgreater \ -30

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

g\ \textgreater \ -10
When we divide an inequality by a negative we flip the sign so:
g\ \textgreater \ -10
becomes:
g\ \textless \ 10

Final answer:

g\ \textless \ 10

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

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

Answer:

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
cos(30)=sin(60)=\dfrac{\sqrt{3} }{2}\\\\

cos^{-1}(\dfrac{ \sqrt{3} }{2})


=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
----------------add
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

Start with given equation  2.3p - 10.1 = 6.5p - 4 - 0.01p .

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

 6.5p - 4 - 0.01p=(6.5p - 0.01p)-4=p(6.5-0.01)-4=6.49p-4.

Then the whole equation is

 2.3p - 10.1 = 6.49p - 4 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  2.3p - 10.1 = 6.5p - 4 - 0.01p by 100:

 230p - 1010 = 650p - 400 - p, this equation is exactly as equation in option C. This gives you that option C is true.

3. Now multiply the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p by 10:

 23p - 101 = 65p - 40 - 0.1p, 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  2.3p - 10.1 = 6.5p - 4 - 0.01p :

 2.3p - 14.1 = 6.5p - 8 - 0.01p,\\ 2.3p - 14.1 = 6.49p - 8,

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.

Answer:

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,

V=\pi (r)^2 h

Where r is the radius of cylinder,

h is its height,

Here, r = \frac{4}{2} = 2 unit   ( Radius = Diameter / 2 )

And, h = 6 units

Thus, the volume of the cylindrical container is,

V=\pi (2)^2(6)

=\frac{22}{7}\times 4\times 6 = \frac{528}{7}\text{ cubic unit}

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

= 96 - \frac{528}{7}

=\frac{672-528}{7}

=\frac{144}{7}=20.5714285714\approx 20.57\text{ cubic unit}

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

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)

Answer:

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.

Answer:

\text{Length of hypotenuse is }\sqrt{41}units

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

Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=\sqrt{41}units=6.4units

Hence, \text{length of hypotenuse is }\sqrt{41}units

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