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Rainbow [258]
3 years ago
14

Does anyone mind helping me with this? It seems simple enough.

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

It is given that \sqrt{(x - 3)} = \sqrt{x} + 3, and we have to solve the given equation for x.

Now, we have \sqrt{(x - 3)} = \sqrt{x} + 3

Squaring both sides we get  

[\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}

⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}

⇒ 6√x = - 12

⇒ √x = -2

Again squaring both sides we get  

⇒x = 4 (Answer)

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storchak [24]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
If a 30 foot ladder is positioned so that the bottom of the ladder is 1/4 of its length away from the wall, how far up the wall
Dvinal [7]

Answer:

29.05 ft

Step-by-step explanation:

Using the concept of pythagoras theorem, here we have the base and hypotenuse given hence we need to find the third dimension, assuming the wall is perfectly straight and forms a right angle with the bsse of the ladder. Here, c^{2}=a^{2}+b^{2} and making a the subject of the formula then a=\sqrt {c^{2}-b^{2}} and substituting 30 ft for c and 0.25*30=7.5 ft for b then a=\sqrt {30^{2}-7.5^{2}}=\sqrt {843.75}=29.047375096555626\approx 29.05 ft

7 0
3 years ago
I WILL GIVE BRAINLIEST
vovikov84 [41]

Answer:

y = -5x - 3

Step-by-step explanation:

To answer this the slope must be clculated first

slope equation:

\frac{y2-y1}{x2-x1}

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)

we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.

the next odered pair is 2 so x2 = -3 and y2 = 0.

With this information layed out we can solve:

\frac{0-10}{-3-(-5)}

0 - 10 = -10

-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive

\frac{-10}{2} = -5

the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:

y = mx+b

There are other equations that can be used for a line but with the info given this equation best suits the data.

m = slope

y and x = are the ordered pair you can input into the equation to slove

b = the y intercept

So the equation would be:

y = -5x - 3

6 0
3 years ago
Read 2 more answers
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
SCORPION-xisa [38]

The probability of picking a card with an even number is \frac{3}{10}.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
  • The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability of picking a card with an even number:

  • There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
  • These cards are placed on a table with the numbers facing down.
  • To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
  • 12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
  • So, the probability of picking a card with an even number is \frac{3}{10}.

Therefore, the probability of picking a card with an even number is \frac{3}{10}.

Know more about probability here:

brainly.com/question/24756209

#SPJ4

COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

5 0
2 years ago
Help me please <br>this is due soon and I'm not good at math
max2010maxim [7]
I'm gonna try and make it like the tree

Estimation

Benchmark Round

Place Value
Thousandth Hundredth Tenth
3 0
4 years ago
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