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3 years ago

Factor: x^2 + 11xy - 26y^2

2 answers:

6 0

Think of possible factors of 26. 2 and 13 are a prime example.

Factors of 26y^2 would then be 2y and 13 y.

Note that 13y - 2y = 11y.

Try these factors: (x -2y )(x + 13y )

Check them by multiplication. You must obtain x^2 + 11xy - 26y^2.

irina1246 [14]3 years ago

3 0

Hello.

(x + 2y) • (x - 13y) Step by step solution :Step 1 :Equation at the end of step 1 : ((x2) - 11xy) - (2•13y2) Step 2 :Trying to factor a multi variable polynomial :

2.1 Factoring x2 - 11xy - 26y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x + 2y)•(x - 13y)

Final result : (x + 2y) • (x - 13y)

Have a nice day

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Greatest Common Factors 1. 12 & 18 2. 9 & 35 3. 15 & 25

professor190 [17]

Answer:

1. 6

2. 1

3. 5

Step-by-step explanation:

You can find the GCF by finding the prime factorization of the numbers.

1. 12 and 18

12= 2*2*3

18=2*3*3

They both have 2 and 3 in common, so their GCF is 2*3 or 6.

2. 9 and 35

9= 3*3

35= 5*7

Although they don't have any prime numbers in common, all numbers have the factor one in common, so they're relatively prime but their GCF is 1.

3. 15 and 25

15 = 3*5

25= 5*5

They have one 5 in common so their GCF is 5.

5 0

3 years ago

The graph of y = f(x) is shown below. Find the value of ƒ (-2).

VARVARA [1.3K]

Answer: f(-2) = 8

Step-by-step explanation: On the graph there’s a point (-2,8), so f(-2), which just means -2’s y value on the graph, is 8.

7 0

2 years ago

a five-card hand is dealt at random from a standard deck. What is the probability that the hand contains exactly two black cards

mestny [16]

Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125

Probability of having a black card = 26/52 = 1/2

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)
p = probability of success = 1/2 = 0.5
Number of picks, n = 5
q = 1 - p = 0.5
x = 2

Hence,

P(x = 2) = 5C2 × 0.5² × 0.5³

P(x = 2) = 10 × 0.25 × 0.125

P(x = 2) = 0.3125

Hence. Probability of having exactly 2 black cards is 0.3125

Learn more : brainly.com/question/12474772

6 0

3 years ago

Can someone pls help with this

Gnom [1K]

here it is :)

do check properly, I have given step by step instructions:)

do give feedback on my answer, would appreciate it!

5 0

3 years ago

Read 2 more answers

What completes this expression to make it a perfect square trinomial? x2 + 4x + ___ A 2 B 4 C 8 D 16

brilliants [131]

Answer:

Option B. 4

Step-by-step explanation:

The given expression is x² + 4x + -----

We have to find a number which can be added in the expression to make it a perfect square trinomial.

x² + 2(2x) + 2²

= (x + 2)²

Therefore, if we add 4 in the given expression it becomes a perfect trinomial.

Option B is the correct option.

3 0

4 years ago