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kvasek [131]
4 years ago
7

Solve the following equation algebraically 2x ^ 2 = 50

Mathematics
1 answer:
kipiarov [429]4 years ago
7 0

Answer:

x=5

Step-by-step explanation:

2 {x}^{2}  = 50

{x}^{2}  =  \frac{50}{2}

{x}^{2}  = 25

x =  \sqrt{25}

x = 5

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Sinx + cosx= 1 then find the value of x
Kobotan [32]
   1√2sinx+1√2cosx=1√2.

This can be written as

cos(x−π4)=cos(π4)

The general solution of this equation ls

x−.π4=2nπ±π4,n=0,±1,±2,...,

So, x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....

 ANSWER: x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....


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4 0
3 years ago
the sum of two numbers is 57. if the larger of the two numbers is 9 less than twice the smaller, find the two numbers
svp [43]

Answer:

The answer is 35 and 22

Because:

U let the numbers(#) be x and y (x will be the larger number and y the smaller number

So:

x + y =57

x = 2*y - 9

Therefore,

{2*y - 9} + y = 57

Leaving the two numbers 35 and 22

I hope I could help




7 0
3 years ago
Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

#SPJ4

8 0
2 years ago
2. Us i ng the filled table above,
VARVARA [1.3K]

The price elasticity of demand of the pen will be -0.2.

<h3>How to compute the elasticity?</h3>

The demand and supply schedule will be:

Price Qd. Qs

$10. 250. 100

$20. 200. 90

$30. 180. 80

The price elasticity of demand from $1 to $2 will be:

= Percentage change in quantity demanded/percentage change in price

Percentage change in quantity demanded will be:

= (200 - 250)/250 × 100

= -20%

Percentage change in price will be:

= (20 - 10)/10 × 100

= 100%

Therefore, the elasticity of demand will be:

= -20/100

= - 0.2

The value gotten illustrates an inelastic demand.

In order to increase the total revenue, the price can be reduced as it will lead to more sales.

Learn more about PED on:

brainly.com/question/21105870

#SPJ1

<u>Complete question:</u>

Choose any product or service. Create the demand and supply schedule.

Calculate just one PED.

Is the demand elastic or inelastic?

What price change would you recommend to increase TR?

8 0
2 years ago
Adult tickets for the movie theater cost $9. Child tickets cost $5.25. Write an expression for the total cost of a group of adul
sammy [17]

Answer:

Step-by-step explanation:

9a + 5.25c

5 0
3 years ago
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