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ioda
3 years ago
15

I really need help with these 4 questions, whoever answers CORRECTLY gets brainliest.

Mathematics
2 answers:
Citrus2011 [14]3 years ago
7 0

B
B
D
A
Explanation, I have a 128% in math rn…
Ann [662]3 years ago
7 0
<h3>1. Which ordered pair is a solution of the equation y = x - 4?</h3>

[ Option A ]

(2,6)

y = x - 4

6 = 2 - 4

6 = -2 ❎

[ Option B]

(6,2)

y = x - 4

2 = 6 - 4

2 = 2 ✔️

[Option C ]

(-2,6)

y = x - 4

6 = -2 - 4

6 = -6 ❎

[ Option D ]

(-6,2)

y = x - 4

2 = -6 - 4

3 = -10 ❎

<h3>2. Which value is a solution of the equation 3 - 2x = -5?</h3>

A. 2

B. 4✔️

C. -2

D. 1/5

<u>Step by step explanation :</u>

3 - 2x = -5

3 + 5 = 2x

8 = 2x

8/2 = x

<u>4 = </u><u>x</u>

<h3>3. Which ordered pair is a solution of the equation y = 5x?</h3>

A. (-2,10)

B. (-5,25)

C. (-3,15)

D. (-2,-10)✔️

<u>Step by step explanation :</u>

y = 5x

y/x = 5

(-10)/(-2) = 5

<h3>4. Which ordered pair is a solution of the equation y = -9x + 4?</h3>

A. (10,-86)

y = -9x + 4

-86 = -9(10) + 4

-86 = -90 + 4

-86 = -86 ✔️

B. (-4,-58)

y = -9x + 4

-58 = -9(-4) + 4

-58 = 36 + 4

-58 = 40 ❎

C. (6,-41)

y = -9x + 4

-41 = -9(6) + 4

-41 = -54 + 4

-41 = -50 ❎

D. (-6,57)

y = -9x + 4

-57 = -9(-6) + 4

-57 = 54 + 4

-57 = 58❎

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The hypotenuse of a right triangle is 10 ft long. the shorter leg is 2ft shorter than the longer leg. find the side lengths of t
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Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
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A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the
Ne4ueva [31]

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p \times q ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

  • The password needs to be 4 characters long
  • It must have 3 letters and 1 of 10 special characters.
  • Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

26 \times 26 \times 26 \times 10 = 175760 ways.

Now, the password may look like one of those:

  1. L, L, L, S
  2. L, L, S, L
  3. L, S, L, L
  4. S, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

175760 \times 4 = 703040

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

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