All categories

1 year ago

Please help! Help Will Give 100 PTS

Mathematics

1 answer:

allochka39001 [22]1 year ago

7 0

Answer:

x = 23; not extraneous

Step-by-step explanation:

A solution is extraneous if it does not satisfy the original equation. Extraneous solutions can sometimes be introduced in the process of solving radical and rational function equations.

<h3>Solution</h3>

Squaring both sides of the given equation, we get ...

√(3x +12) = 9

3x +12 = 81 . . . . . . square both sides

x +4 = 27 . . . . . . . divide by 3

x = 23 . . . . . . . . . . subtract 4

<h3>Check</h3>

There is only one solution, and it satisfies the equation:

√(3×23 +12) = √81 = 9

The solution x = 23 is not extraneous.

You might be interested in

1a) Your brother has saved $2,000 for vacation. If his airplane ticket costs $600, and his hotel room costs $200 per day, write

ASHA 777 [7]

Answer:

7 days

Step-by-step explanation:

2000-600 is 1400.

1400/200 is 7

2000=200x+600

x=7

6 0

3 years ago

Help please and thanks! I always give brainliest! (Explain too please)

qwelly [4]

Answer:

A. 2/3

Opposite Sides of a Parallelogram

The two pairs of sides in a parallelogram are parallel to each other.

Parallel lines have the same slope.

The slope of the opposite sides of a parallelogram are congruent (equal in measure).

Given:

Slope of PQ = 2/3

Slope of QR = -1/2

For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.

This implies that: Slope of SR = Slope of PQ = 2/3.

Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.

4 0

2 years ago

The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the fo

Kitty [74]

Answer:

$r=\sqrt{\frac{V}{3\pi}}\\\\r\approx 5.00\ ft$

Step-by-step explanation:

-The volume of a cylinder is given by the formula:

$V=3\pi r^2$

#We make r the subject of the formula:

$V=3\pi r^2\\\\r^2=\frac{V}{3\pi}\\\\r=\sqrt{\frac{V}{3\pi}}$

#We then substitute for the stated volume and solve for r:

$r=\sqrt{\frac{V}{3\pi}}, V=236\\\\\therefore r=r=\sqrt{\frac{236}{3\pi}}\\\\r=5.00404\approx\ 5.00\ ft$

Hence, the cylinder's radius is approximately 5.00 ft

5 0

3 years ago

What numbers add to 21 but equal 472

Anastaziya [24]

Hey there,

All we have to do is 472-21=451

So your number would be 451

8 0

3 years ago

Read 2 more answers

(50 points) What is the value of sin J for this triangle?

weqwewe [10]

Answer:

8/17

Step-by-step explanation:

right angle box means that area is the bottom

soh cah toa

hypotenuse is 17

hypotenuse is usually the biggest number

opposite is 8

sin is opposite/ hypotenuse

sin is 8/17

6 0

2 years ago