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Virty [35]
2 years ago
15

2. √2x-5-√x+6=0(solving the following radical equations and check for extraneous solutions)

Mathematics
1 answer:
Norma-Jean [14]2 years ago
5 0

I assume the equation is

√(2x - 5) - √(x + 6) = 0

Note the domains for the root expressions:

• √(2x - 5) : 2x - 5 ≥ 0   ⇒   x ≥ 5/2

• √(x + 6) : x + 6 ≥ 0   ⇒   x ≥ -6

So any valid solution we find must be at least 5/2.

Move one term to the other side.

√(2x - 5) = √(x + 6)

Take squares.

(√(2x - 5))² = (√(x + 6))²

2x - 5 = x + 6

Solve for x :

x = 11

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2 years ago
Plz find the volume of this figure i really need help​
DiKsa [7]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions
Pachacha [2.7K]

Answer:

132\ in^{2} is closest to the total surface area of the box

Step-by-step explanation:

we know that

The surface area of the box is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

we have

L=7\frac{3}{4}\ in=\frac{7*4+3}{4}=\frac{31}{4}\ in

W=3\frac{1}{4}\ in=\frac{3*4+1}{4}=\frac{13}{4}\ in

H=3\frac{7}{8}\ in=\frac{3*8+7}{8}=\frac{31}{8}\ in

<em>Find the area of the base B</em>

B=LW

B=(\frac{31}{4})(\frac{13}{4})=\frac{403}{16}\ in^{2}

<em>Find the perimeter of the base P</em>

P=2(L+W)

P=2(\frac{31}{4}+\frac{13}{4}))

P=2(\frac{44}{4})=22\ in

<em>Find the surface area</em>

SA=2(\frac{403}{16})+22(\frac{31}{8})

SA=(\frac{403}{8})+(\frac{682}{8})

SA=\frac{1,085}{8}=135.625\ in^{2}

6 0
3 years ago
Simplify:
OLEGan [10]
15x4y2 letter B is your answer
6 0
3 years ago
Read 2 more answers
Explain howyou wouldestimateto subtract 189 from 643
kupik [55]

I would estimate 643 - 189 by rounding 643 to the tens place and 189 to the hundreds place.

643 => 640

189 => 200

Now you can subtract 200 from 640.

640 - 200 = 440

6 0
3 years ago
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