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miskamm [114]
3 years ago
10

What is the factorization of the trinomial below? 2x^2+15x+25

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer:

\boxed{\bold{\left(2x+5\right)\left(x+5\right)}}

Step-by-step explanation:

Break Expression Into Groups

\bold{\left(2x^2+5x\right)+\left(10x+25\right)}

Factor Out \bold{x} From \bold{2x^2+5x}

\bold{x\left(2x+5\right)}

Factor Out \bold{5} From \bold{10x+25}

\bold{5\left(2x+5\right)}

Rewrite Equation

\bold{x\left(2x+5\right)+5\left(2x+5\right)}

Factor Out Common Term \bold{2x+5}

\bold{\left(2x+5\right)\left(x+5\right)}

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2 years ago
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0
4 years ago
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What is 74,233 increased by 58,490
lawyer [7]
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Scientific notation is 4.34188817 * 10 to the 9th power.
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5 0
3 years ago
Please help. What are the measures of ∠a, ∠b, ∠c and ∠d? Explain how to find each of the angle measure.
MissTica

Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.

Angle A = 90 degrees

Angle A m B and the 59 forms a straight line which needs to equal 180

Angle B = 180 - 59 - 90 = 31

Angle B = 31 degrees.

Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.

Angle D is a vertical angle with 59, so equals 59 degrees.

4 0
3 years ago
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