Find the gradient of the line segment between the points (-5,-2) and (4,3).
Give your answer in its simplest form.

The results of the absolute value expressions are:

Expression 1:

We have: |x - (-18)| if x<-18

Open the bracket

|x + 18|

If x < -18, then the values of x are above -18 i.e. -19, -20...

This means that: |x + 18| > 0

Hence, |x - (-18)| if x < -18 is greater than 0

Expression 2:

We have: |2x| if x < 0

If x < 0, then the above equation would be greater than 0

Hence, |2x| if x < 0 is greater than 0

Expression 3:

We have: |x - 120| if x<120

If x < 120, then the values of x are less 120 i.e. 119, 118...

This means that: |x - 120| > 0

Hence, |x - 120| if x<120 is greater than 0

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Answer:

B

Step-by-step explanation:

The data shows a positive correlation so the gradient must be positive so B.

Answer & step-by-step explanation:

to arrive at the similarity, the transformation must be as follow:

the small circle will be dilated for a specific scale factor,

the radius of X circle is R= 6, and the radius of the small circle is r = 2

besides, two circles are similar if and only if R = r, (their radius ar equal)

therefore  r = 2*k = 6, and from where k = 6 / 2 = 3 units

the answer is

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Answer:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

To prove circles are similar:

Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).

Dilate the smaller circle to increase its size to coincide with the larger circle.  The amount that the circle needs to be dilated by is the scale factor.

As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:

scale factor = 6 ÷ 2 = 3

Solution:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

By the way, you forgot to give us the image:

The median is always at the center of the box, we can say the median of our question is also at the middle of the box.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.

From the given data we see that;

Mean = 39,500

Median = 20000

Mode = 23000

Minimum = 15,000

Maximum = 255000

A general view of a box and whisker plot has been attached.

From the attached file, we can see the following;

- whiskers to the left and right of the box.

- The box starts from the lower quartile and stops at the upper quartile.

- The median is at the middle of the box

- The minimum is at the end of the left whisker

- The maximum is at the end of the right whisker.

1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.

2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.

3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.

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Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Answer:

$204

Step-by-step explanation:

Expression : 240 x 15%

15% x 100 = 0.15

Equation : 240 x 0.15 = 36

Final Answer : 36

240 - 36 = 204

Answer:

C. Since AB = CD = √41, the figure is a rectangle.

Explanation:

All of them AD, CB, DB, CA have a slope of 0.

Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.

Find diagonal Length:

Since AB = CD = √41, the figure is a rectangle.

The number of stray cats in the town in t=0 years will be 243.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is:-

[tex]f(t) = 243(\dfrac{1}{3})^t[/tex]

f(t) is representing the number of the stray cats in t years so in t=0 years the number of the cats will be:-

[tex]f(t) = 243(\dfrac{1}{3})^0= 243[/tex]

f(t) = 243 cats

It states that initially at t=0 years there were 243 cats in the town.

Therefore the number of stray cats in the town in t=0 years will be 243.

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Answer:

[tex]a = \frac{7b}{5} -11[/tex]

According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.

In this question we must determine the lengths of the three sides of the triangle by Pythagorean theorem and then the area is determined by Heron's formula.

First, we determine the length of each side:

[tex]RS = \sqrt{(6-3)^{2}+(2-4)^{2}}[/tex]

[tex]RS = \sqrt{3^{2}+(-2)^{2}}[/tex]

[tex]RS = \sqrt{13}[/tex]

[tex]ST = \sqrt{(7-6)^{2}+(10-2)^{2}}[/tex]

[tex]ST = \sqrt{1^{2}+8^{2}}[/tex]

[tex]ST = \sqrt{65}[/tex]

[tex]RT = \sqrt{(7-3)^{2}+(10-4)^{2}}[/tex]

[tex]RT = \sqrt{4^{2}+6^{2}}[/tex]

[tex]RT = \sqrt{80}[/tex]

Now we calculate the area of the triangle by Heron's formula:

[tex]s = \frac{\sqrt{13}+\sqrt{65}+ \sqrt{80}}{2}[/tex]

s ≈ 10.306

[tex]A = \sqrt{10.306 \cdot (10.306 - \sqrt{13})\cdot (10.306 - \sqrt{65})\cdot (10.306 - \sqrt{80})}[/tex]

A ≈ 14.525

According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.

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Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x = +2 you add 2 every time

y = +2 you add 2 every time

2/2 = 1

Answer:

girl good luck I cant even do that.

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]

Answer: Second statement is false

Step-by-step explanation: You cannot subtract 89 from 500 and get 500. You get 411.

The probabilities are: 20/52, 31/52, 651/2704, 14/31

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.

given: Event A is “game played when warmed up” and Event B is “more shots made than missed.”

Now, P(A)= 20/52

P(B)= 31/52

P(A and B)= P(A)*P(B)

                 = 20/52*31/52

                  = 651/2704

P(A|B)= 14/52÷31/52

        =14/31

Hence, the probability is: 20/52,31/52,651/2704 and 14/13

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As it's already graphed their inetresection point is solution for both functions

The solution is (1,5)

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations would be where the lines of the two intersect. The point of intersection (based on the graph) is :

1 minus StartFraction 9 over 16 EndFraction

This is the same as writing 1 - 9/16

======================================================

Explanation:

9/16 is the fraction 9 over 16

It is a shorthand way of saying 9 squares are shaded out of 16 total.

When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.

------------

This is what happens when you simplify the expression

1 - 9/16

16/16 - 9/16

(16-9)/16

7/16

This shows that there are 7 white squares.

------------

Or if you want, you can think of it like this:

16 squares total, 9 are blue

16-9 = 7 squares are white

7/16 is the fraction of squares that aren't shaded blue.

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

Answer:

2x+2y = 8

Step-by-step explanation:

Simply multiply the first equation x + y=4 by 2:

x + y=4
*2      *2

(x + y)2 = 8

2x+2y = 8

x + y = 4  and 2x+2y = 8 are the same equation. You can't solve x+y = 4, there's infinite number of solutions, just like how you can't solve 2x+2y = 8

First note the intersections of each pair of lines.

x = 3   ⇒   y = 2•3 + 1 = 7   ⇒   (3, 7)

y = -3   ⇒   -3 = 2x + 1   ⇒   x = -2   ⇒   (-2, -3)

y = -3 and x = 3   ⇒   (3, -3)

Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of

∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y

As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral

[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]

Answer:

circle

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

Answer

the range is the spread of your data from the lowest to the highest value in the distribution

Answer:

9

Step-by-step explanation:

To find the range, subtract the biggest number (here it's 9) and the smallest number (here it's 0).

9 - 0 = 9

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the following expression can be solved as follows ~

[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]

Taking LCM on both the sides ,

[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]

On cross multiplying ,

[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]

let's now gather the like terms at either sides of the equation and solve ~

[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]

on further simplifying ,

[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]

hope helpful ~

Check the picture below.

Answer:

One Solution

Explanation:

change sides

one solution ↓

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8