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SpyIntel [72]
1 year ago
6

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

Mathematics
1 answer:
Liono4ka [1.6K]1 year ago
7 0

The solution of the radical equation is x = 5 / 3.

<h3>How to solve radical equation?</h3>

The radical equation can be solved by isolating x.

Therefore, the radical equation can be solved as follows:

√3x - 1   - 2 = 0

add 2 to both sides

√3x - 1   - 2 = 0

√3x - 1   - 2 + 2 = 0 + 2

√3x - 1 = 2

square both sides

√3x - 1 = 2

(√3x - 1 )² = 2²

Hence,

(√3x - 1 )² = 2²

3x - 1 = 4

Therefore, add 1 to both sides

3x - 1 = 4

3x - 1 + 1 = 4 + 1

3x = 5

divide both sides by 3

3x  = 5

3x / 3 = 5 / 3

x = 5 / 3

Therefore, the solution of the radical equation is x = 5 / 3.

learn more on radical equation here: brainly.com/question/28442352

#SPJ1

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In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°. Find the length of z, to the nearest centimeter.
Annette [7]

The value of side z will be equal to 99.32 cm.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

Given that:-

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°

So by applying the formula given below:-

z²   =   x²  +  y²  -  2xyCos(142)

z²   =   79²  +   27²   -  2 ( 79 x 27  x  Cos142  )

z    =    99.32  cm

Hence the value of side z will be equal to 99.32 cm.

To know more about Trigonometry follow

brainly.com/question/24349828

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6 0
2 years ago
What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radio is 2:3?
gtnhenbr [62]
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6 0
4 years ago
The equation f(x)= 2x-9 translate 6 units up is g(x)=
alex41 [277]
Btw I got this answer from gauth math
answer: 2x -3

Explanation
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7 0
2 years ago
Helppp please I’ll give points to whoever answers it
sashaice [31]

Answer:

The solution is in the attached file

Step-by-step explanation:

Choose the examples you would like to use from the examples listed for both true and false

5 0
3 years ago
What is lifetime cap?
krek1111 [17]

Answer:

What is a life cap?

A life cap, or lifetime cap or rate cap, is the maximum amount that a borrower’s interest rate can increase over the term of the loan. The life cap represents either a total absolute rate or percentage change in the rate.

Deeper definition

Adjustable-rate mortgages (ARMs) usually come with a series of caps that limit how much interest can be charged to the borrower after the fixed-interest period ends. The initial adjustment cap limits the change in interest for the first time rates are adjusted, and there are subsequent, or periodic, interest caps to cover upcoming changes in the interest rate.

Life caps limit how much interest the lender can charge over the term of the entire term. Usually expressed as an absolute percentage, or a change in percentage, life caps may differ between lenders but should be spelled out in the loan agreement.

Lifetime caps represent the highest rate at which interest can be charged. However, ARM interest rates can actually decrease after the fixed-interest period. Additionally, lifetime caps don’t affect other costslike transaction and late fees, which are factored along with the interest rate into the annual percentage rate (APR).

Wondering how a life cap will affect your payments? Use Bankrate’s mortgage calculator to find out how much you’ll owe.

Life cap example

James acquired a loan from a bank with 7 percent as the initial interest rate. The bank allows adjustments every three months, but has a life cap of 3 percent. Therefore, the maximum interest rate Jack will ever have to pay is 10 percent.

There you go

4 0
3 years ago
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