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2 years ago

What value of d makes the equation true 2/9=d/27

Mathematics

2 answers:

lys-0071 [83]2 years ago

5 0

2/9 = d / 27
cross multiply
(9)(d) = (27)(2)
9d = 54
d = 54/9
d = 6 <==

liubo4ka [24]2 years ago

3 0

To do this, you will have to cross multiply the proportion.
2/9=d/27 (Original)
2*27=9*d (Cross multiply)
54=9d (Simplify)
d=6 (Divide by 9)
The answer is d=6.

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F(x) = -4(3) to the power of x Plot the points

Mars2501 [29]

Answer:

The attached image shows the equation graphed on a graph. From there you can plot the points.

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2 years ago

A+B = 20 B+C= 30 C+ A= 40 C =?

zimovet [89]

55 I hope this helps you!

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2 years ago

Five times a certain number, minus 5 is equal to 7 more than three times the number

Kazeer [188]

Let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5
2x=12
x=6

the number is 6

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2 years ago

A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet

Mumz [18]

Answer:

No she isn't. The value of $a$ is $a=-\frac{1}{45}$

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

$y=ax^{2}+bx+c$ (I)

Where $a,b$ and $c$ are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : $(0,0) ; (60,80)$ and $(120,0)$

$(0,0)$ because we put our coordinates origin there.

$(120,0)$ because that's where the golf hole is.

And $(60,80)$ because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of $a,b$ and $c$ ⇒

The parabola passes through $(0,0)$ ⇒

$y=ax^{2}+bx+c$ ⇒

$0=a(0)^{2}+b(0)+c$ ⇒ $c=0$

The parabola passes through $(60,80)$ ⇒

$80=a(60)^{2}+b(60)$ ⇒

$80=3600a+60b$ (II)

The parabola passes through $(120,0)$ ⇒

$0=a(120)^{2}+b(120)$ ⇒

$0=14400a+120b$

$120b=-14400a$

$b=-120a$ (III)

Now if we use (III) in (II) ⇒

$80=3600a+60(-120a)$

$80=3600a-7200a$

$3600a=-80$

$a=-\frac{1}{45}$ ⇒ $b=\frac{8}{3}$

Finally the equation of the parabola is

$y=-\frac{x^{2}}{45}+\frac{8}{3}x$

Where the value of $a$ is $a=-\frac{1}{45}$

8 0

2 years ago

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2l+ 2w = 48 can be used to

Rudiy27

Answer:

2W=9

Step-by-step explanation:

You must first get the Length, which is 15, and multiply it by 2 and you get 30. You then subtract 30 from 48 and get 18. Since the equation has 2W, you have to divide 18 by 2, which gets you the answer 9.

3 0

2 years ago

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