What would be the denominator after rationalizing 7/(5√3 - 5√2)?
1 answer:
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Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Question:
A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars. A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars.
Picture of data can be found in the picture attached.
Answer:
Slope = -1.71
Intercept = 22.05
Step-by-step explanation:
Equation of a line usually takes the general form :
ŷ = mx + c
Where :
m = slope or gradient
c = intercept
Inputting the data into a linear regression calculator ;
The output is : ŷ = -1.70872X + 22.04985
Comparing the output to the general formula;
The slope (m):
m = -1.70872 = -1.71(2 decimal places).
The intercept (c):
c = 22.04985 = 22.05(2 decimal places).
