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2 years ago

The expression -5p+20 factored

Mathematics

2 answers:

bearhunter [10]2 years ago

8 0

To factor this expression, the first thing to do is to take out the terms and look at the factors of each one:
-5p:-1*5*p
20: 2*2*5

When you look at the factors for each term, notice that both the terms have the same greatest common factor of 5. Noticing this, factor out 5 from the expression which will get you to 5(-p+4). However, normally in math, the first term of an expression usually is not a negative so you would factor out -1 from the expression which would result in your answer: -5(p-4)

Nutka1998 [239]2 years ago

7 0

Ok I’ve attached a photo

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Which pair of expressions are equivalent?

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Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

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What is 54/72 in simplest form?

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3 years ago

Solve1 over 25 = 5^x ^+ 4. <br> x = -7/2<br> x = −6 <br> x = 9/2 <br> x = 2

Basile [38]

The equation seems to be

   1
-------- = 5 ^ (x + 4)
25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

      1
=> ----------- = 5^(x + 4)
       5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6

6 0

3 years ago

In △ABC, point D∈AC

Maslowich

<h3>Answer:</h3>

ABDC = 6 in²
AABD = 8 in²
AABC = 14 in²

<h3>Explanation:</h3>

A diagram can be helpful.

When triangles have the same altitude, their areas are proportional to their base lengths.

The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...

... BC : EC = (1+5) : 5 = 6 : 5

so ABDC will be 6/5 times AEDC.

... ABDC = (6/5)×(5 in²)

... ABDC = 6 in²

_____

The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...

... AABD : ABDC = AD : DC = 4 : 3

so AABD will be 4/3 times ABDC.

... AABD = (4/3)×(6 in²)

... AABD = 8 in²

_____

Of course, AABC is the sum of the areas of the triangles that make it up:

... AABC = AABD + ABDC = 8 in² + 6 in²

... AABC = 14 in²

6 0

2 years ago