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3 years ago

The area of square ABCD is 7cm². Show that x² + 4x = 3

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the measure of a side of the square )

Here s = x + 2 and A = 7, thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

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gladu [14]

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3 years ago

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A cylinder's volume can be calculated by the formula V=Bh, where V stands for volume, B stands for base area, and h stands for h

Anastaziya [24]

Answer:

$h = 3x^5-3x^2-10\text{ units}$

Step-by-step explanation:

We are given the following in the question:

Volume of cylinder =

$V=Bh$

where B is the area of base and h is the height of cylinder.

Volume of cylinder =

$V = 6\pi x^7-6\pi x^4-20\pi x^2$

Base area =

$B = 2\pi x^2$

We have to find height of cylinder.

$h = \dfrac{V}{B}\\\\h = \dfrac{6\pi x^7-6\pi x^4-20\pi x^2}{2\pi x^2}\\\\h = 3x^5-3x^2-10\text{ units}$

Thus, the height of cylinder is $3x^5-3x^2-10$ units.

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3 years ago

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Elena has more roses than Lin. Lin has 8 roses and Elena has x roses. Which expression represents the number of roses Elena has?

yanalaym [24]

Excess greater than or equal to eight

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3 years ago

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

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3 years ago

2x < - x + 20 + 7 I don't get how to answer this question

dimulka [17.4K]

ANSWER

X < 9

Solve

2x < - x + 20 + 7

2x < - x + 27 change the signs

2x + x < 27 add the like terms

3x < 27 divide by 3

x < 9

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3 years ago