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zloy xaker [14]
4 years ago
14

Drag a reason to each box to complete this proof. If 1/2(8x +14) =39, then x = 8

Mathematics
1 answer:
oee [108]4 years ago
7 0

Answer:

Correct, if 1/2(8x +14) =39, then x = 8

Step-by-step explanation:

\frac{1}{2}(8x+14)=39

Solving for x: Multiplying both sides of the equation by 2

2[\frac{1}{2}(8x+14)]=2(39)\\ 8x+14=78

Subtracting 14 from both sides of the equation:

8x+14-14=78-14\\ 8x=64

Dividing both sides of the equation by 8:

\frac{8x}{8}=\frac{64}{8}\\ x=8

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How can you write the expression with rationalized denominator? sqrt3 - sqrt6 / sqrt 3 + sqrt 6
harina [27]
Answer:  2√2 - 3

Explanation:


The expession written properly is:

\frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}+ \sqrt{6} }

To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.

That is, you have to multiply both numerator and denominator times the conjugate of the denominator.

The conjugate of √3+√6 is √3 - √6, so let's do it:

\frac{ \sqrt{3} - \sqrt{6} }{ \sqrt{3} + \sqrt{6} } . \frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}- \sqrt{6} }

To help you with the solution of that expression, I will show each part.

1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =

= 3 - 2√18 + 6 = 9 - 6√2.

2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3

3) Then the resulting expression is:

 9 - 6√2
-----------
 -3

Which can be further simplified, dividing by - 3

    -3 + 2√2

Answer: 2√2 - 3

7 0
3 years ago
Read 2 more answers
A triangle has the vertices A(-7, 8), B(1, -7), and C(7,6). After a dilation, the vertices of the image are A(-28, 32).
steposvetlana [31]

Answer: the answer is A.4

Step-by-step explanation:

Dilation in this context is the transformation is an object into a larger one.

ABC is transformed to A'B'C'

To get the scale factor, we divide the coordinates of A'B'C' by ABC

i.e

A'/A = -28/-7, 32/8 = 4

Or

B'/B = 4/1, -28/-7 = 4

Or

C'/C = 28/7, 24/6 = 4

4 0
4 years ago
Solve the formula for the indicated variable.<br> T(r+s)=rs, for r<br> (Simplify your answer.)
yaroslaw [1]

Answer:

R = \frac{-TS}{(T-S)}

Step-by-step explanation:

First, distribute all terms

T(R+S) =RS\\TR + TS =RS

Get all terms with R onto the same side

TR + TS = RS\\TR - RS = -TS

Factor out the R

R(T-S)=-TS

Divide by (T-S) to isolate R

R = \frac{-TS}{(T-S)}

5 0
3 years ago
Read 2 more answers
Explain the difference between buying and leasing and automobile.
sashaice [31]
When you buy a car you have all the money upfront ready either in cash, check, etc. Leasing is when you have a little bit or most of the money. Because you dont have all of it you pay for the car monthly and pay a little bit more than the actual value of the car as interest for "borrowing" their money since you couldn't afford the entire value of the car upfront. The more money you put down at the time of leasing, the less the interest usually is.
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3 years ago
What are the scores of the students which are less than equal to 25% of the data? <br>​
nikitadnepr [17]

Answer:

24/100

Step-by-step explanation:

7 0
3 years ago
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