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2 years ago

-2 (1 - 4x)=3x +8 is

Mathematics

1 answer:

Veronika [31]2 years ago

7 0

Answer:

= 2

1. Rearrange terms

2.Distribute

3. add 2 to both sides of the equation

4.Simplify

5.Subtract 3 from both sides of the equation

6. Simplify again

7. Divide both sides of the equation by the same term

8. Simplify one more time

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What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Correct Question :-</h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3>Given :- </h3>

We have AP, 

$\sf{ 2 , 14 ,.... 98 }$
AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

<h3>Solution :-</h3>

We have an AP :- 2 , 14 .....98

Therefore,

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now, 

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago

A tree on the farm casts a shadow that is 5 feet long. Tyler standing next to the tree casts a shadow that is 2 feet tall. If Ty

k0ka [10]

Answer:

The tree is 10 feet tall.

Step-by-step explanation:

5/x=2/4

5÷2=2.5

2.5×4=10

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3 years ago

g You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 47.0 m, h

DaniilM [7]

Answer:

Step-by-step explanation:

Let the speed of the roller coaster at the bottom is v.

radius, r = 47 m

Let the mass is m and the force at the bottom is 2.5 times the weight.

F = 2.5 mg

So, the force is

$F = mg + \frac{mv^{2}}{r}$

$2.5 mg= mg + \frac{mv^{2}}{r}$

$1.5g=\frac{v^{2}}{r}$

v² = 1.5 gr

v² = 1.5 x 9.8 x 47

v = 26.3 m/s

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3 years ago

Four times a number is equal to five times the same number plus five. What is the number?

suter [353]

Answer:

Five times a number plus four times the same number is equal to 360. The number is 40. 5n + 4n = 360; 9n = 360; n = 360/9; n = 40

Step-by-step explanation:

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3 years ago

Find the slope of any line perpendicular to the line through the given points (-4,2),(5,5)

Harlamova29_29 [7]

Step-by-step explanation:

........................

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3 years ago