Sqrt( 7x ) + 1 = sqrt( 7x + 1 )

Solve it?

Answers

Answer 1
Answer: √(7x) +1 = √(7x+1)

First isolate a square root on the left side:
√(7x) = - 1 + √(7x+1)

Now, delete the radical on the left side, Raise both sides squarely:
(√(7x))^2 = (-1+ √(7x+1) )^2


Thus:
7x = 1 - 2 √(7x+1) + 7x + 1
7x = 7x+1+1-2 √(7x+1)
7x = 7x+2-2 √(7x+1)

Find the radical remainder by isolating a radical on the left side again:
2 √(7x+1) = -\diagup\!\!\!\! 7x+\diagup\!\!\!\! 7x+2
2 √(7x+1) = 2

Now, delete the radical on the left side, Raise both sides squarely:
(2 √(7x+1))^2 = (2)^2

Solving, We have:
2^2(7x+1) = 4
4(7x+1) =4
28x+4 = 4
28x = \diagup\!\!\!\! 4 -\diagup\!\!\!\! 4
28x = 0
x = (0)/(28)
\boxed{x = 0}

Confirm that the solution is correct
Statement equation
√(7x) = - 1 + √(7x+1)

*Replaces "0" in "x"
√(7*0) = - 1 + √(7*0+1)
√(0) = - 1 + √(0+1)
0 = - 1 + √(1)
0 = - \diagup\!\!\!\! 1 + \diagup\!\!\!\! 1
Solution:
\boxed{0 = 0}  (TRUE)









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PLEASE HELP- 25 points-what is the circumference of the circle. Diameter =9cm

Answers

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Choose two points from the graph; count how far one point is away from the other. Simplify if needed.

Calculate the total number of pizzas that must be bought for a birthday party ifeach pizza is cut into 8 slices and each 26 children invited would be given 3
slices.

Answers

Answer:

10

Step-by-step explanation:

26×3=78

78÷8=9.75

round up to 10 since you can't buy .75 of a pizza

Part A How much voltage must be used to accelerate a proton (radius 1.2 ×10−15m) so that it has sufficient energy to just penetrate a silicon nucleus? A silicon nucleus has a charge of +14e, and its radius is about 3.6 ×10−15m. Assume the potential is that for point charges.

Answers

Answer:

Step-by-step explanation:

Qp = charge on proton = 1.6 x 10-19 C

Qs = charge on silicon = 14 x 1.6 x 10-19 C

rf = final distance from nucleus = ∞

ri = initial distance from nucleus = (3.6 x 10-15 + 1.2 x 10-15 ) = 4.8 x 10-15 m

initial Potential energy is given as

Ui = k Qp Qs / ri = (9 x 109) (1.6 x 10-19 ) (14 x 1.6 x 10-19 ) / (4.8 x 10-15 ) = 6.72 x 10-13 J

final Potential energy is given as

Uf = k Qp Qs / rf = (9 x 109) (1.6 x 10-19 ) (14 x 1.6 x 10-19 ) / (∞) = 0 J

Change in Potential energy = ΔU = Ui - Uf = 6.72 x 10-13 - 0 = 6.72 x 10-13 J

Let the Voltage through which proton is accelerated = V

Energy gained due to potential difference = Qp V

Using conservation of energy

Qp V = 6.72 x 10-13

(1.6 x 10-19 ) V = 6.72 x 10-13

V = 4.2 x 106 volts

Carla is going to the water slides and needs to figure out which deal is better. She can pay$31 to go on the water slides as much as she wants, or she can pay $13 to get in, plus an
additional $3 per trip down the water slides. If Carla goes on a certain number of trips down
the water slides, the two options are equivalent in terms of cost. How many trips is that?
What is the cost?

Answers

Answer: $31 & It would be 6 trips!

Step-by-step explanation: 6 trips x $3 for the trips, is $18 plus the $13 to get in the park, would be equivalent to $31

Answer:

if she rides the slides 6 times, the costs will be the same: $31

Step-by-step explanation:

You can write an equation in order to solve this problem. Since you are trying to find how many trips using the (3t + 13) plan are equal to the plan that costs 31, the equation would be:

31 = 3t + 13

= 18 = 3t

= 6 = t

(3t + 13 stands for $3 a trip plus $13 entry fee)

This means that if Carla takes 6 trips using either plan, they will cost the same; both would cost $31.

I WILL MAKE YOU THE BRAINLIEST EASY QUESTION

Answers

Answer:

B.) 3.65, 3 2/3, 3.7

Step-by-step explanation:


Answer:


Step-by-step explanation:

The second option shows the numbers in order from least to greatest because 3 2/3 simplified is 3.6666666