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strojnjashka [21]
4 years ago
8

2/3w - 1/4 = 2/3(w - 1/4)

Mathematics
1 answer:
Rufina [12.5K]4 years ago
5 0

<u>Answer:</u>

No solution

<u>Step-by-step solution:</u>

We are given an expression:

\frac{2}{3} w-\frac{1}{4} =\frac{2}{3} (w-\frac{1}{4} )

We have only one variable w so we will make w the subject and solve for it.

\frac{2}{3} w-\frac{1}{4} =\frac{2}{3} (w-\frac{1}{4} )

Solving the brackets first to get:

\frac{2}{3} w -\frac{1}{4} =\frac{2}{3} -\frac{1}{6}

Taking LCM on both sides to get:

\frac{8w-3}{12} =\frac{4w-3}{6}

By cross multiplication:

6(8w-3)=12(4w-3)

48w-18 = 48w -36

48w - 49w -18 + 36 = 0

w gets cancelled so we are left with 18\neq 0

Therefore, w has no solution.

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Mandarinka [93]
20 seconds faster than Jesse so one minute and 57 seconds is my best guess.
3 0
4 years ago
What are the zeos of f(x)=(x-1)(x+6)
solong [7]

The zeroes of the given polynomial is 1 and -6.

<h3>What is Polynomials?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, given equation;

          f(x) = (x - 1)(x + 6)

for finding the zeros of the equation we need to put.....f(x) = 0

           0 = (x - 1)(x + 6)

     x - 1 = 0      or       x + 6 = 0

     x = 1          or    x = -6

Thus, The zeroes of the given polynomial is 1 and -6.

Learn more about Polynomials from:

brainly.com/question/17822016

#SPJ1

7 0
2 years ago
Write the trinomial as a square of a binomial.<br><br> x²+2xy+y^2
Minchanka [31]
The answer is (x+y)^2
Hope this helps!!

7 0
2 years ago
Which kind of triangle is shown?
Artemon [7]

Answer:

Option D

Right scalene

Step-by-step explanation:

It is the right angle triangle and not all sides are equal hence it's a Right scalene

 

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
Read 2 more answers
In triangle △ABC, ∠ABC=90°,
makvit [3.9K]
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>

==============================================

Work Shown:

Let x = HC and y = BH

AH = 12-x since AH = 12-HC and x = HC

---------------

See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible

HC/BH = BH/AH

x/y = y/(12-x) ... substitution

x(12-x) = y^2 ... cross multiply

y^2 = -x^2+12x

note how I isolated y^2 instead of y. We will use this equation later.

---------------

Focus on triangle AHB. Use the pythagorean theorem

(BH)^2 + (AH)^2 = (AB)^2

(y)^2 + (12-x)^2 = (9)^2

y^2 + 144-24x+x^2 = 81

-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x

-x^2+12x + 144-24x+x^2-81 = 0

-12x + 63 = 0

-12x = -63

x = -63/(-12)

x = 5.25 <<-- answer in decimal form

x = 5 + 0.25

x = 5 + 1/4

x = 20/4 + 1/4

x = 21/4 <<-- answer as a fraction

3 0
4 years ago
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