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3 years ago

What value of g makes the equation true? (x+7)(x-4)=x²+gx-28

Mathematics

1 answer:

defon3 years ago

6 0

Answer:

g=3

Step-by-step explanation:

multiply x with x-4 and +7 with x-4 to open the brackets

x^2 - 4x + 7x - 28 = x^2 +gx - 28

x^2 + 3x - 28 = x^2 + gx -28

x^2 - x^2 + 3x -28 + 28 = gx

gx is kept alone on the other side because we have to find value of g

cancel out +x^2 -x^2 and +28 -28

we ll be left with

3x = gx

divide both sides by x

3x/x = gx/x

cancel out x in the numerators with the x in the denominators

3 = g

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

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Answer:

Step-by-step explanation:

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4 years ago

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MakcuM [25]

Answer:

Step-by-step explanation:

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Liono4ka [1.6K]

The equation
a/4 = 2/3
do cross multiplication
8 = 3a
a = 8/3

Performing the expression.
= (a - 4) / 4
= (8/3 - 4) / 4
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