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stira [4]
3 years ago
6

Write y = 4/5x 8 in standard form using integers

Mathematics
1 answer:
Nitella [24]3 years ago
7 0
Standard form is ax+by=c

y=4/5x+8
ties both sides by 5 to get integers
5y=4x+40
minus 4x bot sides
-4x+5y=40
times -1
4x-5y=-40
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The triangles below are similar because of the:
siniylev [52]

Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

7 0
2 years ago
A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
2 years ago
A TV that usually sells for $186.67 is on sale for 20% off. If sales tax on the TV is 8%, what is the price of the TV, including
Furkat [3]

Answer:

$161.28288  or $161.28 if rounded

Step-by-step explanation:

first find 10% of the original cost

186.67/10 =18.667

18.667 x 2 = 37.334 (20%)

186.67 - 37.334 = 149.336

to find the tax, mulitple 149.336 x 1.08

1.08 because, 100% of the cost, plus 8% of the cost for tax

= 161.28288

5 0
3 years ago
1 16
kifflom [539]

Answer:

2

Step-by-step explanation:

7 0
2 years ago
A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each
inysia [295]

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

6 0
3 years ago
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