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KonstantinChe [14]
3 years ago
5

- (4-x) = 3/4 (x-6) please show work

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

remember that you can do anything to an equation as long as you do it to both sides

also remember distributive property: a(b+c)=ab+ac

for that -(4-x)=-1(4-x)=(-1)(4)+(-1)(-x)=-4+x


so

-4+x=3/4(x-6)

multiply both sides by 4 to avoid distributing that fraction

-16+4x=3(x-6)

-16+4x=3(x)+3(-6)

-16+4x=3x-18

minus 3x both sides

-16+x=-18

add 16 both sides

x=-2

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I need help ........... here’s a picture of the question
cricket20 [7]

Answer:

The answer is B. m∠ POS + m∠ POR = 180

step-by-step explanation:

Because if you already know that m∠POQ equals 90 because it is a right angle

Then all you have to do is take 90 from 180 which is 90 then divide 90 by two which is 45

now you have the measurement for the two acute angles 45

which makes m∠POS = 45 and m∠QOR =45

NOW YOU HAVE TO ADD 90 AND  45 AND 45 ALL TOGETHER THEN YOU WILL HAVE 180

4 0
4 years ago
A and b are positive integers. Find <img src="https://tex.z-dn.net/?f=-2a%2B3b" id="TexFormula1" title="-2a+3b" alt="-2a+3b" ali
lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.

Now that we know that a=2 and b=3 just plug them into the equation.

-2(2)+3(3)=?

-4+9=?

5

Sorry about having to use this ^ symbol, the equation maker is not working.

7 0
3 years ago
The scale factor is <br> A 20:4<br> B 4:1<br> C 16:1<br> D 64:1
ser-zykov [4K]
B is the correct answer i think lol
8 0
3 years ago
What information is missing but is needed to solve this problem? The Jackson family took a three-day trip. They drove 426 miles
GrogVix [38]
Answer: C
You need the total to answer the question, therefore C is the missing information
3 0
3 years ago
Read 2 more answers
What do i have to look up to learn how to do this kind of trig. I went through kahn academy for trig but this stuff never came u
mariarad [96]

Answer:

  (e) √(x² -1)

Step-by-step explanation:

You can look up the Pythagorean theorem, and SOH CAH TOA.

__

<h3>Pythagorean theorem</h3>

This tells you the relations between the sides of a right triangle. For the purpose of finding tan(θ), you need to know the length of the side that is not marked on the diagram. It is found using the Pythagorean theorem.

The sum of squares of the legs is equal to the square of the hypotenuse. If we call the unknown leg "o", then ...

  1² +o² = x² . . . . . the Pythagorean relation

  o² = x² -1 . . . . . . subtract 1

  o = √(x² -1) . . . . take the square root

__

<h3>SOH CAH TOA</h3>

This mnemonic reminds you of the relationship between trig functions and side lengths of a right triangle.

  • Sin = Opposite/Hypotenuse
  • Cos = Adjacent/Hypotenuse
  • Tan = Opposite/Adjacent

This tells you that tan(θ) is the ratio of the side opposite θ to the side adjacent:

  tan(θ) = o/1 = o

From the previous section, o = √(x²-1), so ...

  tan(θ) = √(x² -1) . . . . . . . matches choice (e)

_____

<em>Additional comment</em>

Another way to think about this is in terms of the trig identities you have learned:

  sec(θ) = 1/cos(θ) = 1/(1/x) = x

  sec²(θ) = tan²(θ) +1   ⇒   tan(θ) = √(sec²(θ) -1) = √(x² -1)

7 0
2 years ago
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