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Luba_88 [7]
3 years ago
13

Write the explicit formula for the sequence 11,7.3,-1,-5.... ?

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
The explicit formula is D. -4n + 15.
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B
VARVARA [1.3K]

Answer:

Hypothenus = 22

Step-by-step explanation:

From the question given above, we were told that the triangles are congruent (i.e same size). Thus,

AC = EF

BC = DE

To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:

For y:

AC = y + 3

EF = 2y + 1

AC = EF

y + 3 = 2y + 1

Collect like terms

3 – 1 = 2y – y

2 = y

y = 2

For x:

BC = 5x + 7

DE = 6x + 2y

y = 2

DE = 6x + 2(2)

DE = 6x + 4

BC = DE

5x + 7 = 6x + 4

Collect like terms

7 – 4 = 6x – 5x

3 = x

x = 3

Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:

Hypothenus = BC

Hypothenus = 5x + 7

x = 3

Hypothenus = 5x + 7

Hypothenus = 5(3) + 7

Hypothenus = 15 + 7

Hypothenus = 22

OR

Hypothenus = DE

DE = 6x + 2y

y = 2

x = 3

Hypothenus = 6(3) + 2(2)

Hypothenus = 18 + 4

Hypothenus = 22

5 0
3 years ago
A line has a slope of 9 and a y-intercept of 2. What is its equation in slope-intercept form?
kakasveta [241]

Answer:

y=9x+2

Step-by-step explanation:

The standard form for a linear equation is y=mx+b. m=9 since it is slope and b=2 which is the y intercept. So the equation would be y=9x+2.

8 0
3 years ago
Hellppp <br> plsssssssssss
irina1246 [14]
The answer is 4 and 9, this is because 2*2=4 and 3*3=9, so their square roots are 2 and 3
3 0
2 years ago
What is the polar form of 7 StartRoot 3 EndRoot minus 7 i?
ololo11 [35]

Answer:

14(cos(330 degrees) + i sin(330 degrees))

option D

Step-by-step explanation:

edge 2020

3 0
3 years ago
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
faltersainse [42]

Answer:

D)  

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96.  It's on the line

B) x = 10, so that y = 12(10) = 120.  It's on the line

C) x = 15, so that y = 15(12) = 180.  It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206.  So, the point is not on the line.

8 0
2 years ago
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