-3√45 + 3√20 = -3√(9 · 5) + 3√(4 · 5) =
= -3√(3² · 5) + 3√(2² · 5) =
= -3 · 3√5 + 3 · 2√5 =
= -9√5 + 6√5 = -3√5 ← the end
Answer:
x = -7/40
, y = -11/20
Step-by-step explanation:
Solve the following system:
{12 x - 2 y = -1 | (equation 1)
4 x + 6 y = -4 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{12 x - 2 y = -1 | (equation 1)
0 x+(20 y)/3 = (-11)/3 | (equation 2)
Multiply equation 2 by 3:
{12 x - 2 y = -1 | (equation 1)
0 x+20 y = -11 | (equation 2)
Divide equation 2 by 20:
{12 x - 2 y = -1 | (equation 1)
0 x+y = (-11)/20 | (equation 2)
Add 2 × (equation 2) to equation 1:
{12 x+0 y = (-21)/10 | (equation 1)
0 x+y = -11/20 | (equation 2)
Divide equation 1 by 12:
{x+0 y = (-7)/40 | (equation 1)
0 x+y = -11/20 | (equation 2)
Collect results:
Answer: {x = -7/40
, y = -11/20
You need to make both numbers the same denominator (bottom number). Do this by multiplying. So for the first question you need 15 as the denominator. 3x3=9 5x3=15 first one is 9/15. Then its 1x5=5 and 3x5=15. Then you add 9+5 to get 14. The denominator stays the same. 14/15. This cannot be reduced. If reduced, you would be able to divide both numbers by the same number.
1. 14/15
2. 5/6
3. 1/2
4. 13/24
5. 13/24
6. 9/10
7. 5/9
8. 11/35
9. 5/8
10. 1/2
Answer:
50 cm
Step-by-step explanation:
So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 = area. Plugging in the numbers you have, you get:
Then, this becomes
Divide both sides by 24
Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: 
Therefore the length of the hypotenuse is 50 cm
I know this one! 954 divided by 6 equals to 154
