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3 years ago

Write an equation of the line that is perpendicular to the line y = 0.5x+8 that passes through the point (4,6)

Mathematics

1 answer:

klasskru [66]3 years ago

4 0

First line: $\;y=0.5x+8$

If you want another line perpendicular to this one, the product of the slopes must be equal to -1.

For the first line: a = 0.5
Then for the perpendicular one, it shloud be a = -2

-2×0.5 = -1

We have then two lines:

$y=0.5x+8\\
y=-2x$

Sorry if my english is not quite good..

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Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu

Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) $\cdot$ 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

$(3x + 7.5) \cdot 106\% = $126.81$

$(3x + 7.5) \cdot \frac{106}{100} = $126.81$

$3x + 7.5 = $126.81 \cdot \frac {50}{53}$

$3x = $119.6 - 7.5$

$3x = 112.1$

$x \approx \$37$

Hope this helped!

6 0

2 years ago

A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is show

DanielleElmas [232]

Answer:

A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is shown.

A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is shown.__Na + __ Cl2 → __ NaCl

A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is shown.__Na + __ Cl2 → __ NaClIf the percentage yield of the reaction is 88%, what is the actual yield? Show your work, including the use of stoichiometric calculations and conversion factors.

7 0

2 years ago

64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!

antoniya [11.8K]

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth