Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.

Answer:   [tex]6\dfrac{3}{8}\text{ inches}[/tex]

Step-by-step explanation:

Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches

[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches                      ( In improper fraction )

Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches

[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches                 ( In improper fraction )

Length of piece leftover piece =  (Original length ) - (Length of piece cut )

[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]

Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex]  long.

Answer:

15

Step-by-step explanation:

Answer:

£48

Step-by-step explanation:

56 ÷ 7 = £8

56 - 8 = £48

Please let me know if my answer is correct.

Answer:

48

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

In a circle if two chord intersects as shown in figure

and length of a chord at point of intersection is a and b

and  length of another  chord at point of intersection is c and b

a*b = c*d

using this relation here, we have

8*(x+7) = 10 * (4 +x)

=> 8x + 56 = 40 + 10x

subtracting 40  and 8x from both sides

=>8x + 56  - 8x -40= 40 + 10x -8x -40

=> 16 = 2x

=> x = 16/2 = 8

Thus, x = 8

Step-by-step explanation:

total ratio = 3+4+7 = 14

3/14×180= 38.57°

4/14×180= 51.43°

7/14×180 = 90°

Answer:

total ratio = 3+4+7 = 14

3/14×180= 38.57°

4/14×180= 51.43°

7/14×180 = 90°

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.

So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.

Graph 3 - not a function.

Graph 4 - not a function.

Graph 5 - not a function.

Graph 6 is a function.

Hey there! :)

Answer:

x = 5, x = -i√7, x = i√7

Step-by-step explanation:

We can factor the equation x³ - 5x² + 7x - 35 = 0 by grouping:

x²(x - 5) + 7(x -5) = 0

We get:

(x² + 7)(x - 5) = 0

or

(x + i√7)(x - i√7)(x - 5) = 0

Use the Zero Product Property to solve for the solutions:

x - 5 = 0

x = 5.

-----------

x² + 7 = 0

x² = -7 (We will have imaginary solutions in this instance)

x = ±i√7

Therefore, the zeros of this equation are:

x = 5, x = -i√7, x = i√7

Answer:

A. It is a series of points that fall in a straight line but are unconnected.

Step-by-step explanation:

Given variables y and x, and a proportional factor k, the proportional relationship is :

y/x = k or y = k*x

This means that points fall in a straight line.

Discrete data means that the function is also discrete, that is, points are not connected between them like in a continuous function.

Answer:

its a

Step-by-step explanation:

got it right

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~~`

[tex]h \geq 48 inches tall[/tex]

In order to ride on the ride an individual must be at least 48 inches tall.

This means that the individual must be equal to 48 inches tall.

[tex]h = 48[/tex]

and the individual could be greater than 48 inches tall.

[tex]h > 48[/tex]

So the individual could be greater than and equal to 48 inches tall.

[tex]h \geq 48[/tex]

Hope this helped you. Brainliest would be nice!

Answer:

See below

Step-by-step explanation:

[tex]\sqrt{6}[/tex] = 2.449

So, While plotting to the number line it will be like:

Answer:

Step-by-step explanation:

Hello!

You have to plot √6 on the number line.

The √6 is equal to 2.4494

In the given number line is depicted the scale between 2.4 and 2.5, the lines between corresponds to the second decimal digit between these two numbers, so the given scale is:

   |    *    |        |           |  *      |    *   |          |        |    *    |          |          |

2.40   2.41   2.42   2.43   2.44   2.45   2.46   2.47   2.48   2.49   2.50

The dot corresponding to √6  is the third counting from left to right.

(See attachment)

I hope this helps!

Answer:

20

Step-by-step explanation:

Answer:

Answer attached

Answer:

I got x<3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Add 5 to both sides.  Then:  3x < 9 and x < 3.

The solution is the area to the left of x = 3 (but not touching x = 3).

Answer:

C.21

Step-by-step explanation:

The value of 1/ (2x³ + 3.4y) is 1/33.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction = 1/ (2x³ + 3.4y)

We have the value x= 2 and y=5.

So,  1/ (2x³ + 3.4y)

=  1/ (2(2)³ + 3.4(5))

=  1/ (2(8) + 17)

=  1/ (16+17)

=  1/ 33

Hence, the value is 1/33.

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Answer:

Step-by-step explanation:

The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36. Yes, there are repeated sums.

All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10..., if you notice, there are 18 even sums.

All the sums that are odd by greater than 7: 9,9,9,11,9,11, if you notice, there are 6 of them.

Total: 6 + 18 = 24

Probability(A) = number of favorable outcomes/ total number of outcomes

The probability is 24/36 = 2/3

The probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.

Probability refers to a possibility that deals with the occurrence of random events.

We need to find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled.

The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36.

All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10...,

there are 18 even sums.

All the sums that are odd by greater than 7: 9,9,9,11,9,11, there are 6 of them.

Total: 6 + 18 = 24

Probability(A) = number of favorable outcomes/ total number of outcomes

Therefore, The probability is 24/36 = 2/3

Hence, the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.

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Answer:

See below hot to plot.

Step-by-step explanation:

You did part a correctly and now have 3 points of this graph. For part b you need to plot the line by first plotting the points.

Plot the points on the graph and then connect them with a line.

The three points are (-5, -3), (0, 2), and (3, 5).

To plot (-5, -3):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Go 5 units left to the -5. Now go 3 units down. That is point (-5, -3). Put a dot on it.

To plot (0, 2):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Since the x-coordinate is 0, don't go right or left. Now go 2 units up to where you see a 2 on the y-axis. That is point (0, 2). Put a dot on it.

To plot (3, 5):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Go 3 units right to the 3 on the x-axis. Now go 5 units up. That is point (3, 5). Put a dot on it.

Now connect the three dots with a line. Put arrow heads at both ends of the line.

Answer:

Hope this helps

Answer:

remove insulation ,,,eat low on the food chain

Step-by-step explanation:

u can reduce it by 8 pounds

Answer:

remove insulation

Answer:

x = 7

Step-by-step explanation:

=> 7x+9 = 8x+2 (Corresponding angles are equal)

=> 8x-7x+2 = 9   (Subtracting 7x to both sides)

=> x = 9-2  (Subtracting 2 to both sides)    

=> x = 7

Answer:

A

Step-by-step explanation:

62 +65=127

C+127=180

C=180-127=53°

so x=53°

53-y=11

y=53-11=42

Answer: A

Step-by-step explanation:

Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.

We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.

62+65+x=180             [combine like terms]

127+x=180                   [subtract 127 on both sides]

x=53

Now that we have x, we can find y by plugging in.

53-y=11                         [subtract both sides by 53]

-y=-42                           [divide both sides by -1]

y=42

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

Answer:

Gretas car gets better gas mileage

Step-by-step explanation:

18 km= 18,000 miles

18,000>28

So, Gretas car gets better gas mileage

Hope this help!

Answer:

Step-by-step explanation:

(3a) - 27 = 3a - 3^3 = 3(a - 3^2)

Next time, please share all of the answer choices.  Thanks.

Answer:

There are 90 different ways

Step-by-step explanation:

We can apply factorials to help solve this equation.

Just to review, 4!= 4x3x2x1

To solve this problem, we need to use factorials but only a portion of it.

Since there are only 2 roles, we only have to go down two numbers

For captain, there are 10 players available,

But for co captain, there are 9, because the captain can't also be the co captain

So the result is 10x9

We don't have to go further since there are no more further roles to occupy

10x9=90

There are 90 different ways

Answer:

45 if two co-captains or 90 if captain and co-captain are two DISTINCT roles.

Step-by-step explanation:

METHOD ONE

Label each player (either a through j OR 1 - 10).

List combinations:

METHOD 2

use formula

Answer:

Scalene and right

The given triangle is the right-angle triangle.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.

Hence, the given triangle is the right-angle triangle.

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Answer:

3/2f = 2e

Step-by-step explanation:

The equation is Written has this (3/2f = 2e)

Answer:

[tex]\frac{2}{3} f=2e[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *9=6[/tex] ~ this is an example of the answer being used to be multiplied by [tex]f[/tex] to get the result which is listed through [tex]e[/tex]. This example is Batch B, cups of flour was 9. 9 multiplied by [tex]\frac{2}{3}[/tex] will lead us to 6 which is the number of eggs used in Batch B.

Hope this helps!

Answer:

The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles

Step-by-step explanation:

The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;

The available different lengths of segments joining two vertices of a cube of side length s = 2 are;

2, 2·√2, and 2·√3

Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows

Distinct triangle one = 2, 2, 2·√2

Distinct triangle two = 2·√2, 2·√2, 2·√2

Distinct triangle three = 2, 2·√3, 2·√2

Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.

Answer:

3200000

Step-by-step explanation:

multiply the volume value by 1000

Answer:

3) x = 27; m∠FDG = 62°; m∠GOF = 118°

Step-by-step explanation:

2x + 8 + 4x + 10 = 180

6x + 18 = 180

6x = 162

x = 27

Answer:

x = 27; m∠FDG = 62°; m∠GOF = 118°

Step-by-step explanation:I took the test

Answer:

875

Step-by-step explanation:

35 x 25 =

30x25 + 5x25

750 + 125

875

The Answer is 875

✍️(◔◡◔) hope this helps <3

Answer:

4 times faster

Step-by-step explanation:

From the above question, we have the following information

Let us represent the Distance traveled by Abigail as Y

On her skateboard she travelled two thirds of the way = 2/3Y

She walks the rest of the way home = Y - 2/3Y = 1/3Y

The time she used to walk home is twice the time she used to ride her skate board

Hence, let us represent the time she used to ride her skateboard as S

So, Time she used to walk home = 2 × S = 2S

The question is asking us, how fast ,this is = Speed

The formula for Speed = Distance/ Time

Speed for her skate board = 2/3Y/S = 2Y/3S

Speed as she walks = 1/3Y / 2S = Y/ 6S

How many times faster is Abigail on her skateboard than she is walking is calculated as :

Speed of Abigail while skating ÷ Speed of Abigail while walking

= 2Y/3S ÷ Y/6S

= 2Y/3S × 6S/Y

= 4

Therefore, Abigail was 4 times faster on her skateboard than she is walking.