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Cloud [144]
3 years ago
14

What is the slope of a line that passes through each pair of points (2,2), (3,1)

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0
The slope of a line that passes through each pair of points (2,2), (3,1) is (4,2), (0,2)
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Factor 64a^2 - 48a + 9. <br> A(8a + 9)(8a - 1)<br> B(8a - 3)^2 <br> C(4a + 3)(16a - 3)
Jobisdone [24]
(8a-3)(8a-3)..........
5 0
3 years ago
Read 2 more answers
Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
What is the value of x?<br><br>enter your answer in the box​
olganol [36]

Hey!

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

Polygon: Heptagon

Vertices: 7

Sum of angles: 900°

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

Solution:

158 + 120 + 139 + 121 + 125 + 126 = 789

900 - 789 = 111°

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

Answer:

x = 111°

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

Hope This Helped! Good Luck!

8 0
3 years ago
Rearrange the equation 5x-3y+9=0 from standard form to slope/y-intercept form.
lions [1.4K]
Y=Mx+B -> slope intercept form

The answer would be -3y=-5x-9
Divide the -3 on both sides and you get
y=5/3x+3
8 0
3 years ago
Rhonda bought five shirts from a
densk [106]

Answer:

Option C 10+5x=24+3x

Step-by-step explanation:

Let

x ------> the cost of each shirt

we know that

The cost of 5 shirts plus $10 (amount of money that would remain) must be equal to the cost of 3 shirts plus $24 (amount of money that would remain). Considering that the cost of the shirts is the same

The linear equation that represent this scenario is

10+5x=24+3x

Solve for x

5x-3x=24-10

2x=14

x=\$7

8 0
3 years ago
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