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miss Akunina [59]
3 years ago
11

What is the factored from of x^2+25

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

(x+5)²-10x²

Step-by-step explanation:

USing the completing square method

x² +25

= (x)² +2(x)(5) +(5)² -10x²

=(x+5)²-10x²

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Which segment is an altitude of triangle IGH? (See attachment)
Reptile [31]

Answer: segment KH

Explanation:

The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.

Note that the altitude of a triangle can also be outside the area of the triangle.

If we look at the picture, we see that:

- IH is a side, so it is not an altitude of the triangle

- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it

- GJ: we don't know if it is an altitude, since we don't know if it forms a right angle or not

- GH: it is a side of the triangle, so it is not an altitude

So, the correct answer is segment KH.

7 0
3 years ago
Read 2 more answers
Which inequality is shown in the graph
pentagon [3]

Answer:

Less than.

Step-by-step explanation:

3 0
2 years ago
What is the ratio of quarters to nickels in a dollar
sleet_krkn [62]

For quarters we have:

0.25x = 1

Where,

x: number of quarters

Clearing x we have:

x = \frac{1}{0.25}\\x = 4


For nickels we have:

0.05y = 1

Where,

y: number of nickels

Clearing y we have:

y = \frac{1}{0.05}\\y = 20


Then, the ratio of quarters to nickels is:

\frac{x}{y}= \frac{4}{20}

Simplifying we have:

\frac{x}{y} = \frac{1}{5}


Answer:

The ratio of quarters to nickels in a dollar is:

\frac{x}{y}= \frac{1}{5}

5 0
3 years ago
Read 2 more answers
How many places do you need to move the decimal to the left to write the number below in scientific notation?
bonufazy [111]

Answer:

A) 1.3*10¹

B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned

C)1.4*10¹

D)1.2*10¹

Step-by-step explanation:

For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10

This might sound very complicated so I can give you an example to simplify

Let's take 1.3*10¹

In this case X is 1.3

This means X*10¹

The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.

Now this number X should be between 1 and 10.(Including 1)

Scientific notation= X*power of 10

where x>=1 & x<10

That is the explanation

Hope it helps

If you think my explanation is a bit complicated

you can ask me again

5 0
3 years ago
Lorenzo buys 3 shirts at S dollars a piece and 2 pairs of pants at P dollars a pair. What does the expression 3s + 2p represent?
ryzh [129]

Answer:

The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

Step-by-step explanation:

It is given that

Price of a shirt = S dollar

Price of a pair of pants = P

Total number of shirts = 3

Total number of pairs of pants = 2

Total price = Quantity × Price of each unit

Total price of 3 shirts = 3S

Total price of 2 pairs of pants = 2P

Total price of 3 shirts and 2 pairs of pants = 3S + 2P

Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

3 0
3 years ago
Read 2 more answers
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