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lorasvet [3.4K]
3 years ago
7

Find the value of XA: 2B: 4C: 6D: 8​

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

Using the Pythagorean theorem:

x^2 + (x-2)^2 = (√20)^2

Simplify the right side:

x^2 + (x-2)^2 = 20

Subtract 20 from both sides:

x^2 + (x-2)^2 - 20 = 0

Factor:

(x-4)(x+2) = 0

Solve for each x:

x = 4 and x = -2

The side cant be a negative value, so the answer would be x = 4

The answer is B.

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A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m
kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

<u>Prove: </u>

15*100 + 10*50= 2,000

100 + 50 = 150

3 0
3 years ago
Read 2 more answers
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+
tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

h(t) = -16t^{2} + 72t + 100

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

h(t) = -16t^{2} + 72t + 100

-16t^{2} + 72t + 100 = 0

Multiplying by (-1)

16t^{2} - 72t - 100 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

16t^{2} - 72t - 100 = 0

So

a = 16, b = -72, c = -100

\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584

t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61

t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0
3 years ago
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter
kow [346]

Answer: Venus

Step-by-step explanation:

5 0
2 years ago
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Pls answer and you will be blessed :)
IRINA_888 [86]

Answer:

2

Step-by-step explanation:

It is the only one that makes sense

7 0
3 years ago
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What does historians need to determine the authenticity of a soure in order to?
jok3333 [9.3K]
Answer: have strong evidence and so people don't think that it is their own biased opinion. plus you can cite things if you have a good source
hope this helps:D

plz give me brainiest
6 0
3 years ago
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