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Rina8888 [55]
3 years ago
7

The first few steps in deriving the quadratic formula are shown.

Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0

Answer:

• The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Step-by-step explanation:

We have to multiply the term  b2/4a2 by a in order to determine the value to add to the left side of the equation so as to balance both sides of the equation.

If we multiply the terms, we get;

\frac{b^{2} }{4a^{2} }*a=\frac{b^{2} }{4a}

Therefore, we shall be adding the term \frac{b^{2} }{4a} to the left side of the equation.

Lerok [7]3 years ago
5 0

Answer: The answer is choice B.

Step-by-step explanation:

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Becky made 2 video tapes while a giant hummingbird fed 4 times and a ruby throated hummingbird fed 8 times from her new feeder.
AURORKA [14]
8 feedings because she recorded it two times and giant humming Bird fed it 4x so 4×2=8

3 0
3 years ago
Read 2 more answers
Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and
motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that <em>n</em> ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0
3 years ago
Mr. David monthly salary is revised from $2500 to $2600.What percentage is the salary increased
Sveta_85 [38]

Answer:

4% Hope this helped.

Step-by-step explanation:

The formula is: final value minus starting value divided by the starting value then times 100

THIS FORMULA ONLY APPLIES TO PERCENT INCREASE

<u>Final Value−Starting Value</u>

      Starting Value                    x100

Plug numbers in

2600-2500/2500 x 100

100/2500=0.04

0.04x100

=4%

5 0
2 years ago
Read 2 more answers
Solve y = -25x + 600
olga nikolaevna [1]

Answer:

-\frac{y}{25} +24

Step-by-step explanation:

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2 years ago
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