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Neko [114]
3 years ago
9

How do I solve this??

Mathematics
2 answers:
Strike441 [17]3 years ago
4 0

Answer:

r = -1/2

Step-by-step explanation:

3(5 + 4r) = -18r

15 +12r = -18r by distributive property

15 = -12r - 18r

15 = -30r

r = - 1/2r

andrey2020 [161]3 years ago
3 0

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

r=−411

Decimal Form:

r=−0.¯¯¯¯36

Hope this helps from yours truly Baby yoda ;)

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find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu
pishuonlain [190]
First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus   \bf y=\stackrel{slope}{2}x+5.

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope =  m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)
7 0
3 years ago
I don't get this problem. Lila decided to make kore baked goods for the bake sale. She used 1 / 8 lb less flour to make bread th
Anvisha [2.4K]
Start by taking the information we know, and write equations to represent the realationships:

1) "1/8 lbs less flour to make bread than to make cookies"         
     b=c-\frac{1}{8}

2) "1/4 lb more flour to make cookies than to make brownies:
     c=w+\frac{1}{4}

3) "she used 1/2 lb of flour ro make bread"
    b = \frac{1}{2}

From here you can solve for w using back substitution. 
7 0
3 years ago
(-72)/(-6)<br> Awnser <br> Plz&amp;Thx
KIM [24]
(-72)/(-6) equals to 12
8 0
3 years ago
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7 0
3 years ago
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Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
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