The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how many centimeters long is the smaller leg please explain how you got it

Answers

Answer 1

Answer: $b=a+3\n c=a+6\n a^2+b^2=c^2\n\n a^2+(a+3)^2=(a+6)^2\n a^2+a^2+6a+9=a^2+12a+36\n a^2-6a-27=0\n a^2-9a+3a-27=0\n a(a-9)+3(a-9)=0\n (a+3)(a-9)=0\n a=-3 \vee a=9\n$

The length can't be negative, so the answer is 9 cm.

Answer 2

Answer: Let the smaller leg be x.

Thus, larger leg = 3 +x
Thus, hypotenuse = 6 + x

Applying pythagoras theorum ;

$(6+x)^2 = x^2 + (3+x)^2 \n \n or, 6^2 + 12x + x^2 = 3^2 + 6x + x^2 \n \n i.e., 36 + 12x = 9 + 6x \n \n =>6x = 45 \n \n => x = 9$

Thus, the length of smaller peg is 9 cm.

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Find (f∘g)(x).f(x)=5x+1
g(x)=2x
Write your answer as a polynomial in simplest form.

Answers

(f o g)=f(g(x))
just sub
f(g(x))
sub g(x) for x in f(x)
g(x)=2x
2x=x in f(x)
f(g(x)=f(2x)=5(2x)+1=10x+1

(f o g)=10x+1

several friends each had 2/5 of a bag of peanuts left over from the baseball game. they realized that they could had bought two fewer bags of peanuts between them. how Manny friends went to the game?

Answers

the answer is 5.

5 times 2/5 = 2 bags

Which number is a factor of 72

Answers

2, 3, 4, 6, 8, 9, 12, 18, 24, 36

I need help for this question I’m stuck

Answers

Answer:

Step-by-step explanation:

5(3g + 2)/2 = 50 Multiply both sides by 2

5(3g + 2) = 50*2 = 100 Remove the brackets

15g + 10 = 100 Subtract 10 ***

15g+10-10 = 100 - 10 Collect like terms.

15g = 90 Divide by 15 ***

15g/15 = 90/15

g = 6

I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.

Answer:

g=6

Step-by-step explanation:

We can start by multiplying both sides by 2

5(3g+2)=100

Now we can distribute the 5 by using the distributive property

15g+10=100

Then we subtract 10 from both sides

15g=90

Divide both sides by 15

g=6

An accurate answer would be appreciated. please and thank you

Answers

Yes, these lines are parallel because they are going in the same direction, same distance from each other, and do not ever intersect.

This could also be reworded to same slope but different y-intercepts.

9x+6x^2= 124 what is x

Answers

X: -9 +- square root of 3057
---------------------------------
12

6x^2 + 9x - 124 = 0
x = [-9 +-sq root (36-4*9*-124)] / 2*6
x1 = 3.8575
x2 = -5.3575

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