Find the gradient of the line segment between the points (-6,2) and (4,3).
Give your answer in its simplest form.​

Answer:

y+2x=8.....(1)

y-x=-1.......(2)

in equation (2) make x the subject of the formula x=y+1

substitute y+1 for x in equation (1)

y+2(y+1)=8

y+2y+2=8

3y=8-2

y=2

substitute 2 for y in equation 2

y-x=-1

2-x=-1

x=2+1

x=3

y=2 x=3

Answer:

24

Step-by-step explanation:

Have a blessed day! :)

Answer: Option B

Step-by-step explanation:

Answer: -5/4

Step-by-step explanation:

Answer:

= -5/4

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -9 - -4)/( -4 - -8)

   = ( -9 +4)/( -4 +8)

    = -5/4

Answer:

$10

Step-by-step explanation:

Let's take this step by step. First, we know that Cindy has -$40 in her bank account. She then adds the $100 she earned, so we add -40 and 100:

-40 + 100 is the same as 100 - 40, which is 60. So, Cindy now has $60 in her bank account. Next, she took out $50. We must subtract that from what she has from her bank account:

60 - 50 = 10

Therefore, Cindy has $10 in her bank account now.

Hope this helps :)

Answer:

V>-8

Step-by-step explanation:

The given inequality is :

4-V>12

Subtracting 4 from both sides.

4-V-4 > 12-4

-V>8

or

V>-8

So, the value of V is more than -8.

Answer:

4.5

Step-by-step explanation:

1+2=3

3/4+3/4=6/4=1.5

3+1.5=4.5

Eloise ran a total of 9/2 miles, which can also be expressed as 4.5 miles.

To find out the total number of miles Eloise ran, we need to add the distances she ran on Monday and Tuesday.

On Monday, Eloise ran [tex]1\frac{3}{4}[/tex] miles.

On Tuesday, she ran [tex]2\frac{3}{4}[/tex] miles.

To add these distances, we need to find a common denominator for the fractions.

The least common multiple of 4 and 4 is 4.

Converting the mixed numbers to improper fractions:

[tex]1\frac{3}{4} = \frac{(1 \times 4 + 3)}{4}[/tex]

[tex]= \frac{7}{4}[/tex]

[tex]2\frac{3}{4} = \frac{(2 \times 4 + 3)}{4}[/tex]

[tex]= \frac{11}{4}[/tex]

Now, we can add the fractions:

7/4 + 11/4

= 18/4

Simplifying the fraction:

18/4

= 9/2

Therefore, Eloise ran a total of 9/2 miles, which can also be expressed as 4.5 miles.

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1 true

2 false

3 false

4 true

5 true

6 false

7 false

8 true

Step-by-step explanation:

1 true

2 false

3 false

4 true

5 false

6 true

7 false

8 true

i dont know if this is right

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

Answer: 48 feet below the surface

Step-by-step explanation:

From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.

Tristan's depth will be represented as x.

Therefore, x - 33 = 15

x = 15 + 33

x = 48

Therefore, the answer is 48 feet below the surface.

Answer:

B 18 feet below

Step-by-step explanation:

So subtract 33-15 bechas depth means below and since tristan has less of a depth to go rather than Nick you would subtrac.

Hope this helped! :)

Answer:

decrease

Step-by-step explanation:

it's 5 - 3 which means it's decreasing

Answer:

34 degrees

Step-by-step explanation:

Since, this is an example of supplementary angle you will do the following :-

180 degrees - 146 degrees = 34 degrees

Hope this helps, thank you !!

50 paquetes restamos 2500 - 3250 nos da 750, eso lo dividimos en 15 y da 50 1ue es el resultado

Answer:

YAs

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

[tex]x^4(x^8y^4-y^1^2)[/tex]

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

[tex]x^4y^4(x^8-y^8)[/tex]

Answer:

The correct answer is 1.75

Step-by-step explanation:

5 x 0.50 = 2.5

3 x 1.25 = 3.75

2 x 2.75 = 5.5

Then we want to add

2.5 + 3.75 + 5.5 = 11.75

Now, Subtract.

11.75 - 10.00 = 1.75

The total amount spent will be equal to $12, so the money added by Ralph will be equal to $2.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

The total money Ralph has is $10.

Price of each pencil = $0.50

Then, price of 5 pencil will be = 5 × 0.50 = $2.5

Price of each pen = $1.25

Then, the price of 3 pens will be = 3 × 1.25 = 3.75

Price of each notebook = $2.75

Then, the price of 2 notebooks will be = 2 × 2.75 = 5.5

Then, the total money spent by Ralph = 5.5 + 3.75 + 2.75 = 12

The money that he should have to add will be,

$12 - $10 = $2

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Answer:

12 inches

Step-by-step explanation:

Answer:

m∠QPR = 35°         m∠QPM =40°       m∠PRS = 30°

Step-by-step explanation:

ΔPRQ is a right triangle with right angle at R.  So m∠QPR = 90 - 55 = 35

ΔQPM is a right triangle with right angle at M.  So m∠QPM = 90 - 40 = 40

Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.  

So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60

Now arc PS is the intercepted arc for ∠PRS.  

Therefore, m∠PRS = 60/2 = 30

I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times.  Also, I used the fact that the acute angles of a right triangle are complementary.  And, finally I used the fact that an inscribed angle in a semicircle is a right angle.

I hope this helped.

Answer:

y=2/x+3

Step-by-step explanation:

Answer:

15.5 miles per gallon

Step-by-step explanation:

The values on the table are increasing linearly

31 gallons / 2 miles = 15.5 miles per gallon

Answer: =−9x−17

Step-by-step explanation:

Let's simplify step-by-step.  

−9x−15−2

=−9x+−15+−2

Combine Like Terms:

=−9x+−15+−2

=(−9x)+(−15+−2)

=−9x+−17     this is the answer search it up    

Answer: The rate represents a decrease in speed for each 1% grade increases.

Step-by-step explanation:

You can use the fact that normal slope is measurement of how much the height changes as we walk on the ground for a unit distance forward. And that percent calculates everything compared to 100 parts.

The rate of change or slope, in this situation tells that if we walk 100 units horizontally, then the slope percent gives us the amount of height increased compared to height before walking 100 units.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

(where dependent variable is height and the independent variable is the distance walked horizontally)

Slope percent  = [tex]Slope \times 100[/tex] = [tex]\dfrac{y_2 - y_1}{x_2 - x_1} \times 100[/tex]

This, shows that, if we walk 100 units horizontally, then the slope percent gives us the amount of height increased.

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Answer:

2p+2q

Step-by-step explanation:

Answer:

[tex]86[/tex]

Step-by-step explanation:

A triangle has [tex]180[/tex] degrees.

To solve this, we must first add the other degrees.

[tex]28+66[/tex] = [tex]94[/tex]

[tex]180[/tex] - [tex]94[/tex] = [tex]86[/tex]

Hope I helped!

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Answer:

86 degrees

Step-by-step explanation:

the degree angles of a triangle add up to 180 degrees; so far we have 94 degrees. 180 - 94, which is equal to 86.

Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles