Factorising quadratics

X squared + 5x -6
X squared - 2x15
X squared -7x +12

Answers

Answer 1

Answer:

Answer:

(x -1)(x +6)
(x -5)(x +3)
(x -4)(x -3)

Step-by-step explanation:

In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.

1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.

x^2 +5x -6 = (x -1)(x +6)

2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest

x^2 -2x -15 = (x -5)(x +3)

3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest

x^2 -7x +12 = (x -3)(x -4)

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Can someone help me on B and C

Answers

B. If you look at the graph and go over 5cm and up 3m, you can see that that point is not near the others, so it can't be accurate according to the data on your graph.C. If you go over 3.2 cm on your graph, go up to where the other points are, and you will see that the most likely height would be about 4.7m. Try to imagine a line going through your graph around where the points are, that might help you see where other points would be. I hope that makes sense let me know if you need anything else I'm always happy to help :)

What is 3/5 times 20

Answers

First make 20 into a fraction, then solve; 3/5 · 20/1. 60/5 = 12. Hope that helps!

Answer:

your answer should be 12

Please answer ASAP if answered in 5 minutes I will give brainliest

Answers

20 2
I think not sure

Sean has a piece of string 7/8 meter long. He uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pieces. What is the length of each piece

Answers

Answer:

7/50 meter.

Step-by-step explanation:

He has 7/8 meter. 1/5 of the piece of string is

$(7)/(8)(1)/(5) = (7)/(40)$ .

Then, he uses 7/40 meter to tie a package. The rest of string will be

$(7)/(8)-(7)/(40) = (7)/(10)$ .

Then, the rest of string after he uses 1/5 is 7/10. Finally, he cuts the rest into 5 equal pieces, that is

$(7)/(10)(1)/(5) = (7)/(50)$ .

Then, the lenght of each piece is 7/50 meter.

First we have to find how much string we are going to cut into 5 pieces. We do this by taking 1/5 of 7/8 meter.

1/5 × 7/8 = 7/40

Now we have to subtract this from the original amount...

7/8 - 7/40 =
35/40 - 7/40 =
28/40 = 14/20 = 7/10

Now we divide this remaining string by 5 to find the length of the individual pieces...

7/10 ÷ 5 =
7/10 × 1/5 =

7/50 meter

Find the values of x and y that make these triangles congruent by the HL Theorem.