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Kryger [21]
3 years ago
9

What is the solution to the equation? √2x+10 -6=2

Mathematics
2 answers:
klio [65]3 years ago
7 0
\sqrt{2x+10} -6=2

\sqrt{2x+10} =8    we switched side of -6 and added it to 2
2x + 10 = 64                 now we squared both sides to get rid of square root
2x = 54                         we switched side of +10 and subtracted it from 64
x = 27                           we divided both sides with 2

answer is x = 27
iren [92.7K]3 years ago
7 0

Answer:

27  is the solution to the equation

Step-by-step explanation:

Given the equation:

\sqrt{2x+10}-6 = 2

Add 6 to both sides we have;

\sqrt{2x+10}=8

Squaring both sides we have;

2x+10 = 8^2

Simplify:

2x+10 = 64

Subtract 10 from both sides we have;

2x = 54

Divide both sides by 2 we get;

x = 27

therefore,  the solution to the given equation is, 27

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Answer:

d=10\ units

Step-by-step explanation:

we know that

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d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

X(3,2)\\Y(3,-8)  

substitute the values

d=\sqrt{(-8-2)^{2}+(3-3)^{2}}

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3 years ago
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AVprozaik [17]
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3 years ago
Read 2 more answers
Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
vredina [299]

Answer:

  • value: $66,184.15
  • interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

  FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

  FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

  FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

<h3>a) </h3>

The future value of the annuity due is $66,184.15.

<h3>b)</h3>

The total interest earned is the difference between the total of deposits and the future value:

  $66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0
2 years ago
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Ludmilka [50]

Answer: (2,9)

Step-by-step explanation:

The point lies in the region that is shaded by both inequalities.

7 0
2 years ago
NEED HELP ASAP ON THIS QUESTION
viktelen [127]

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{AB}{DE} = \frac{BC}{EF} , substitute values

\frac{x}{6} = \frac{8}{4} ( cross- multiply )

4x = 48 ( divide both sides by 4 )

x = 12

5 0
3 years ago
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