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Elena-2011 [213]
3 years ago
14

Find the slope between the two given points in questions 3-4.

Mathematics
2 answers:
Sophie [7]3 years ago
3 0
I think you have to figure out the gradient, so you take the 2 points and put it into the equation
change in y divided by change in x aka
y2-y1/x2-x1

so for question 3:
y2=4 and y1=3
(taken from the first and second coordinates)
x2=3 and y1=7
put these values jnto the equation
4-3/3-7 = 1/-4 (can be written as negative 1/4)

for question 4 its the same thing:
y2=9 and y1=5
x2=4 and x1=2
put into equation
9-5/4-2 = 4/2

hope this helps, im also hoping your teacher already has taught this because i didnt go into detail of where the equation came from, if not ask me and ill gladly help X
pogonyaev3 years ago
3 0
The general formula for the slope between two points<span> is </span>slope<span> = . To </span>find<span> the vertical and horizontal distances </span>between<span> the </span>two points<span>, sometimes this can be seen by looking at the graph, but the vertical and horizontal distances </span>between two points<span> can always be found by subtracting the coordinates of the </span>two points<span>.
I've attatched a visual example for you;
</span>
if you follow this formula you will end up with the following results : 

3) 1/-4 = -0.25 = Negative Slope
4) 4/2 = 2 = Positive Slope

Hope I helped

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RideAnS [48]
-x -2 I think . 3-(-5)= -2 and 2x -3x = -x
5 0
3 years ago
i live in a house that 3 metets below sea level go to school 5 meters above sea level how many meters do i go​
RideAnS [48]
3 meters below sea level represents a -3
From -3 to 0 is 3
3 + 5 above sea level = 8 meters
There are 8 meters between the house and the school
4 0
3 years ago
Please can someone help?
Alina [70]

Step-by-step explanation:

R = 6.5cm and r = 2.3 cm

area of the shaded region = area of the outer circle - area of the inner circle

= πR²-πr²

=π(R²-r²)

=π{(6.5)²-(2.3)²}

=π (42.25-5.29)

= 3.14× 36.96

= 115.866

= 116 cm²

6 0
3 years ago
Micah is thinking of a 2-digit number. It is a multiple of 6 and 12. It is a factor of 108. The sum of its digits is 9. What num
Anna007 [38]
So we need to find the common multiples of 6 and 12. Which are basically the multiples of 12, since 6 is always divisible to 12. So (12, 24, 36, 48, 60, 72, 84, 96, 108) Since it is a factor of 108, we stop at 108 (since a number greater than 108 can't be a factor of 108)

Now we find the factors of 108
108=<span>1,2,3,4,6,9,12,18,27,36,54,108

The numbers in both lists are 36 and 108 but since Micah is thinking of a 2-digit number, the number she is thinking of is 36.</span>
3 0
2 years ago
Match each expression to another expression with the same value. 24 ÷ 3 53 × 7 56 − 21 4 − 3 40 × 2 8 × 50 8 × (5 × 12 − 10) (8
FrozenT [24]

Answer:

a. 24 ÷ 3  = 8                       ⇒              i. 8 × 3 ÷ (6 − 3)  = 8

b. 53 × 7 = 371                     ⇒             h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400    ⇒             f. 8 × 50 = 400

Step-by-step explanation:

Given:

We have to match the equivalent expressions:

a. 24 ÷ 3                 f. 8 × 50

b. 53 × 7                 g. 8 × (5 × 12 − 10)

c. 56 − 21               h. (8 × 7 − 3) × 7

d. 4 − 3                   i. 8 × 3 ÷ (6 − 3)

                e. 40 × 2          

             

Solution:

a. 24 ÷ 3 = 8                

b. 53 × 7 = 371            

c. 56 − 21 = 35            

d. 4 − 3 = 1  

e. 40 × 2 =80                            

f. 8 × 50 = 400                      

g. 8 × (5 × 12 − 10)  <em>Using PEMDAS rule.</em>

⇒ 8\times (60-10)

⇒ 8\times 50

⇒ 400

h. (8 × 7 − 3) × 7

⇒ (56-3)\times 7

⇒ (53)\times 7

⇒ 371

i. 8 × 3 ÷ (6 − 3) = 8

⇒ \frac{8\times 3}{3}

⇒ \frac{24}{3}

⇒ 8

Answers:

a. 24 ÷ 3  = 8                       ⇒              i. 8 × 3 ÷ (6 − 3)  = 8

b. 53 × 7 = 371                     ⇒             h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400    ⇒             f. 8 × 50 = 400

c,d and e didn't have any match    

a is equivalent to i,b equivalent to h and g is equivalent to f.

6 0
3 years ago
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