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4 years ago

A=1/2b(c+d) solve for c

Mathematics

1 answer:

TiliK225 [7]4 years ago

5 0

Answer:

c = $\frac{2A}{b}$ - d

Step-by-step explanation:

Multiply both sides by 2 to eliminate the fraction

2A = b(c + d) ← divide both sides by b

$\frac{2A}{b}$ = c + d ← subtract d from both sides

$\frac{2A}{b}$ - d = c

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C+6 $\geq$ 9. Notice that the sentence says "has more than 9 pieces of candy" meaning that it could be equal to or greater than 9.

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3 years ago

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Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o

exis [7]

Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

So we will arrange this in our equation and solve the quadratic.

$(x+2)(x+4) =528$

$x^{2}+4(x)+2(x)+8 =528$

$x^{2}+4(x)+2(x)+8-528=0$

$x^{2}+6(x)-520=0$

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation $ax^{2}+b(x)+c=0$ ,here $a=1,b=6\ and\ c=-520$ .

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

$x=20,-26$

We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

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4 years ago

Simplify the following expression:<br> 3[(x^3– 7 x + 1) – (x+ 4)]

Alona [7]

Answer:

15 - 9

Step-by-step explanation:

3[( 3x - 7x plus 1) - (x plus 4)]

3[(-4x plus 1) - x-4

3[-4x plus 1 -x-4

3[-4x-x plus 1-4]

3[fivex -3]

fifteen x - 9

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3 years ago

What is AE ? <br><br> Enter your answer in the box. <br><br> units

maxonik [38]

We know that

side AB is parallel to side CD
then
∠A=∠D
∠B=∠C
therefore
(2x+6)/10=(x+6)/8-------------> 8*(2x+6)=10*(x+6)------> 16x+48=10x+60

16x-10x=60-48----------> 6x=12---------> x=2

so

AE=2x+6-------> 2*2+6--------> AE=10

the answer is AE=10 units

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3 years ago

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