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kozerog [31]
11 months ago
5

(x+5)^2=4 , How do I solve this by square roots?

Mathematics
1 answer:
solmaris [256]11 months ago
3 0

Explanation

(x+5)^2=4

Step 1

Square both sides of the equation.

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PLEASE HELP PLA
aleksley [76]

Answer:

y = -x+8

Step-by-step explanation:

The side that is parallel to BC is EF

Find the slope of EF:

m = \frac{2-4}{6-4} =\frac{-2}{-2} =-1

Easiest way is just put the formula in point-slope form and simplify.

Let's use point F, which is (6,2)

y -2=-(x-6)

Simplify:

y-2=-x+6

Add 2 on both sides:

y = -x+8

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Answer: what are the choices

Step-by-step explanation:

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3 years ago
A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a
kkurt [141]

Answer:

b=h=\sqrt{6} m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=2b^2+4bh

2b^2+4bh=36

b^2+2bh=18

2bh=18-b^2

h=\frac{18-b^2}{2b}

Volume of box, V=b^2h

Substitute the values

V=b^2\times \frac{18-b^2}{2b}

V=\frac{1}{2}(18b-b^3)

Differentiate w. r.t b

\frac{dV}{db}=\frac{1}{2}(18-3b^2)

\frac{dV}{db}=0

\frac{1}{2}(18-3b^2)=0

\implies 18-3b^2=0

\implies 3b^2=18

b^2=6

b=\pm \sqrt{6}

b=\sqrt{6}

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

\frac{d^2V}{db^2}=-3b

At  b=\sqrt{6}

\frac{d^2V}{db^2}=-3\sqrt{6}

Hence, the volume of box is maximum at b=\sqrt{6}.

h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}

h=\frac{18-6}{2\sqrt{6}}

h=\frac{12}{2\sqrt{6}}

h=\sqrt{6}

b=h=\sqrt{6} m

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3 years ago
What is the expanded notation fraction of 810.435
ipn [44]

Answer:

810.435 =

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Hannah claims that 3 is not a rational number because it is not written as a ratio of integers. Is she correct? Explain why or w
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\bf 3\implies \cfrac{3}{1}\impliedby \textit{ratio of 3 and 1}\implies rational\qquad \checkmark

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