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Luba_88 [7]
3 years ago
15

Write an equation of the line containing the point (2,1) and perpendicular to the line 5x – 2y = 3.

Mathematics
1 answer:
Ann [662]3 years ago
6 0

So first, you want to isolate your Y. To do this, you must get it alone on ONE SIDE of the equation.

5x - 2y = 3

-5x         -5x

\frac{-2y}{-2} = \frac{3-5x}{-2}

 

ANSWER: y = \frac{3-5x}{-2}

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Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $18
chubhunter [2.5K]

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320

8 0
3 years ago
11
BaLLatris [955]
<h3>Answer:</h3>

x=30

<h3>Solution:</h3>
  • First, use the distributive property:
  • 8x-3(2x-4)=3(x-6)
  • 8x-6x+12=3x-18
  • Simplify:
  • 2x+12=3x-18
  • 2x-3x=-12-18
  • -x=-30
  • x=30

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
A cross-country travels 20 kilometers before she realizes that she has to cover at least 75 kilometers in order to qualify for t
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5 0
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The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner
sergey [27]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = 23.66\  mph

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = \frac{2292}{23.66} = 96.87\ hrs

Now converting 0.87\ hrs into minutes we get;

0.87\times 60= 52.2\approx 52\ mins

Hence the winner completed the race in 96 hours and 52 minutes.

3 0
3 years ago
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