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Anna11 [10]
3 years ago
11

Find an equation for the nth term of the arithmetic sequence.

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

asdop

Step-by-step explanation:

balandron [24]3 years ago
4 0

Answer:

an = 896 - 53(n - 1)

a _{19} =  l + (19 - 1) \times d \\  - 58=  l+ 18d -  -  - (i) \\  \\ a _{21} =  l + (21 - 1)d \\  - 164 =  l + 20d -  -  - (ii) \\ (ii) - (i)  :  \:  - 106 = 2d \\ d =  - 53 \\ hence : l =  - 58 - (18 \times  - 53) \\ l =  896 \\  =  > a _{n} =   896 + (n - 1) \times  - 53 \\ a _{n} =  896  - 53 (n - 1)

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Help plz and teach me how to answer
horrorfan [7]
Helen subtracted 17 from the right side of the equation when she should have added 17. Adding 17 to both sides would have gotten x/y by itself.

The answer is 'Helen should have added 17 to both sides of the equation'.
4 0
3 years ago
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Use the drop-down menus below to state the sequence of transformations that maps Figure W onto Figure X in the animation below.
iragen [17]

Answer:

Dilate, Reflect

Not congruent, dilations are used

Step-by-step explanation:

Dilate the figure by a scale factor of 1/3

Reflecting the resulting shape will map the figure

Step 1: Dilate by 1/3

Step 2: Reflect over the y-axis

Since dilations are used, the figures are not the same, as it changes area and side lengths.

-Chetan K

3 0
2 years ago
Please answer this correctly without making mistakes
Monica [59]

Answer:

g=56

Step-by-step explanation:

In similar shapes, corresponding sides are always in the same ratio.

For example,

if the sides in triangle 1 were a and b, and triangle 2 had side lengths c and d, c and a had the same ratios, and b and d had the same ratios

and triangle 1 was similar to triangle 2, the ratio between the sides of the triangles would be

a/c, which is also equal to b/d

What that means is that in this situation, 8/5=g/35.

8/5=g/35

Cross multiply.

(8)*(35)=g*(5)

280=5g

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4 0
3 years ago
An object is launched from a launching pad 144 ft. above the ground at a velocity of 128ft/sec. what is the maximum height reach
ollegr [7]

Answer:

18) a. h(x) = -16x² + vx + h(0) ⇒ h(x) = -16x² + 128x + 144

b. The maximum height = 400 feet

c. Attached graph

19) The rocket will reach the maximum height after 4 seconds

20) The rocket hits the ground after 9 seconds

Step-by-step explanation:

* Lets study the rule of motion for an object with constant acceleration

# The distance S = ut ± 1/2 at², where u is the initial velocity, t is the time

  and a is the acceleration of gravity

# The vertical distances h in x second is h(x) - h(0), where h(0)

   is the initial height of the object above the ground

∵ h(x) = vx + 1/2 ax², where h is the vrtical distance, v is the initial

  velocity, a is the acceleration of gravity (32 feet/second²) and x

  is the time

18)a.

∵ The value of a = -32 ft/sec² ⇒ negative because the direction

   of the motion

  is upward

∴ h(x) - h(0) = vx - (1/2)(32)(x²) ⇒ (1/2)(32) = 16

∴ h(x) = vx - 16x² + h(0)

∴ h(x) = -16x² + vx + h(0) ⇒ proved

* Find the height of the object after x seconds from the ground

∵ h(0) = 144 and v = 128 ft/sec

∴ h(x) = -16x² + 128x + 144

b.

* At the maximum height h'(x) = 0

∵ h'(x) = -32x + 128

∴ -32x + 128 = 0 ⇒ subtract 128 from both sides

∴ -32x = -128 ⇒ ÷ -32

∴ x = 4 seconds

- The time for the maximum height = 4 seconds

- Substitute this value of x in the equation of h(x)

∴ The maximum height = -16(4)² + 128(4) + 144 = 400 feet

c. Attached graph

19)

- The object will reach the maximum height after 4 seconds

20)

- When the rocket hits the ground h(x) = 0

∵ h(x) = -16x² + 128x + 144

∴ 0 = -16x² + 128x + 144 ⇒ divide the two sides by -16

∴ x² - 8x - 9 = 0 ⇒ use the factorization to find the value of x

∵ x² - 8x - 9 = 0

∴ (x - 9)( x + 1) = 0

∴ x - 9 = 0 OR x + 1 = 0

∴ x = 9 OR x = -1

- We will rejected -1 because there is no -ve value for the time

* The time for the object to hit the ground is 9 seconds

8 0
3 years ago
Using a property of operations, what can you say about the sums of (-13.2) 8.1 and 13.2 (-8.1)
artcher [175]
No matter where the negative sign is, the product will always be negative, so is the number itself.

13.2(-8.1)=-106.92

twice of that would be -213.84.

first do the multiplying, then the adding(the adding of negative numbers, so it would be basically subtracting).
7 0
3 years ago
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