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3 years ago

2x (3x+20) find the value of X

Mathematics

1 answer:

galben [10]3 years ago

8 0

Answer:

6x^2+40x

Step-by-step explanation:

2x(3x+20)

6x^2 +40x

That's your answer. you won't be able to find x

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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

3 years ago

18.5 ft, 6 ft, 17.5 ft

Julli [10]

What is the question?

8 0

3 years ago

Read 2 more answers

6x-y=-23 8x+3y=-9 Substition method (Show it step by step please!)

Tanya [424]

Answer:

solution is (- 3, 5 )

Step-by-step explanation:

given the 2 equations

6x - y = - 23 → (1)

8x + 3y = - 9 → (2)

rearrange (1) expressing y in terms of x

y = 6x + 23 → (3)

Substitute y = 6x + 23 into (2)

8x + 3(6x + 23 ) = - 9

8x + 18x + 69 = - 9

26x + 69 = - 9 ( subtract 69 from both sides )

26x = - 78 ( divide both sides by 26 )

x = - 3

substitute x = - 3 into (3)

y = (6 × - 3 ) + 23 = - 18 + 23 = 5

solution is (- 3, 5 )

5 0

3 years ago

Select the correct answer.

ella [17]

Answer:

I think its the answer is B im not sure

7 0

3 years ago

Pastries made out of filo dough and brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug

Genrish500 [490]

Answer:

$\frac{9x}{40}$ is the answer.

Step-by-step explanation:

The question has some typo errors.

Rashid and Mikhail submitted a total of x pastries to a baking competition.

Suppose say :

Mikhail made x pastries .

Hence Rashid made $\frac{2x}{3}$ pastries.

And in total they made $\frac{5x}{3}$ pastries.

Now we have that out of x, $\frac{5}{8}$ of x were brushed with olive oil.

So, $\frac{3}{8}$ of x that is $\frac{3x}{8}$ are brushed by butter.

So, it becomes $(\frac{3}{8}) / ( \frac{5x}{3} )$

= $\frac{3}{8} \times\frac{3x}{5}$ = $\frac{9x}{40}$

Hence, answer is option B.

6 0

4 years ago