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Pavlova-9 [17]
3 years ago
10

Which algebraic expression is equivalent to the expression below? 10(5x - 3/5) + 50

Mathematics
1 answer:
Kamila [148]3 years ago
8 0
Hello!

You can distribute the 10

50x - 6 + 50

Combine like terms

50x = 44

Divide both sides by 50

x = 44/50

Simplify

x = 22/25 = 0.88

The answer is x = 0.88

Hope this helps!
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The equation of line passes through (4,-1) and perpendicular to the graph y=\frac{7}{2}x-\frac{3}{2} is y=\frac{-2x}{7}+\frac{1}{7}

Step-by-step explanation:

Given point is (4,-1) and equation of line is y=\frac{7}{2}x-\frac{3}{2}

Let the slope of line that passes through point (4,-1) is m_1

And slope of line y=\frac{7}{2}x-\frac{3}{2} is m_2=\frac{7}{2} . As it is in the form of y=mx+c

We know the relation between slope of perpendicular line are given by

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Now, we can write the equation of line having point  (4,-1) and slope \frac{-2}{7}

(y-y_1)=m(x-x_1)\\\\(y-(-1))=\frac{-2}{7}(x-4)\\\\y+1=\frac{-2x}{7}-(\frac{2\times -4}{7})\\ \\y+1=\frac{-2x}{7}+\frac{8}{7}\\\\y=\frac{-2x}{7}+\frac{8}{7}-1\\\\y=\frac{-2x}{7}+\frac{8-7}{7}\\\\y=\frac{-2x}{7}+\frac{1}{7}

So, the equation of line passes through (4,-1) and perpendicular to the graph y=\frac{7}{2}x-\frac{3}{2} is y=\frac{-2x}{7}+\frac{1}{7}

3 0
3 years ago
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