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Ira Lisetskai [31]
3 years ago
9

Find the slope of the line that passes through the given points. (7,3) and (13,8)

Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:

\frac{5}{6}

Step-by-step explanation:

To find the slope, use the equation to find slope. The picture below shows what it looks like.

Using the equation, substitute the values in the x and y values.

  • \frac{8-3}{13-7}

Then solve

  • \frac{5}{6}

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Please help! Please let me know if you need a better picture.
Dmitriy789 [7]

Answer:

-2

Step-by-step explanation:

First you should write out the entire word equation into one you may recongnize:

7x - 12 = -3x - 32

After this, solve for x:

7x + 3x = 12 - 32

<u>10x</u> = <u>-20</u>

10      10

x = -2

the number is -2

5 0
3 years ago
Bill earns an annual salary of $65 000. He receives a pay rise of 13.5%, how much does he earn after the increase?
photoshop1234 [79]
65000x.135=8775
65000+8775=73775
So Bill earns $73,775 after the increase
Hoped this helped
4 0
3 years ago
Read 2 more answers
3 sisters are each 2 years apart in age. The youngest sister is Emily, the middle sister is Samantha and the oldest sister is La
katovenus [111]
Well the younger sister is 14 the middle is 16 and the oldest is 18
3 0
3 years ago
Read 2 more answers
Given parallelogram SNOW, diagonals SO and NW intersect at D.
Reil [10]

Answer:

The length of SO is 46 units

Step-by-step explanation:

<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>

∵ SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

∴ D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

∴ SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

∴ 13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

∴ x = 2

→ To find the length of SO substitute the value os x in SD and DO

∵ SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

∴ The length of SO is 46 units

4 0
2 years ago
Determine n between 0 and 19 such that (2311)(3912) ≡ n mod 20.
sleet_krkn [62]

You can write 2311 and 3912 in the form 20q+r:

2311=115\cdot20+11

3912=125\cdot20+12

Then

2311\cdot3912=(115\cdot20+11)(125\cdot20+12)

2311\cdot3912=115\cdot125\cdot20^2+(11\cdot125+12\cdot115)\cdot20+11\cdot12

Taken modulo 20, the terms containing powers of 20 vanish and you're left with

2311\cdot3912\equiv11\cdot12\equiv132\pmod{20}

We further have

132=6\cdot20+12

so we end up with

2311\cdot3912\equiv12\pmod{20}

and so n=12.

###

If instead you're trying to find 2311^{3912}\pmod{20}, you can apply Euler's theorem. We can show that \mathrm{gcd}(2311,20)=1 using the Euclidean algorithm. Then since \varphi(20)=8, and 8 divides 3912, we have

2311^{3912}\equiv2311^{489\cdot8}\equiv(2311^{489})^8\equiv1\pmod{20}

To show 2311 and 20 are coprime:

2311 = 115*20 + 11

20 = 1*11 + 9

11 = 1*9 + 2

9 = 4*2 + 1   =>  gcd(2311, 20) = 1

3 0
3 years ago
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