Step-by-step explanation:
<em>Combine like terms</em>
a. 2r + 3 + 4r = (2r + 4r) + 3 = 6r + 3
b. 8 + 3d + d = (3d + d) + 8 = 4d + 8
c. mn + (-3mn) + 6 = (mn - 3mn) + 6 = -2mn + 6
d. 10s + (-10) + (-4s) = (10s - 4s) - 10 = 14s - 10
<em>Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.</em>
(-3/8)(+8/15)
Answer will be a negative number. Whenever multiplying a - negative number * a + positive = - negative number.
(-3/8)(+8/15)
Cross out -3 and 15 . Divide by 3. -3/3,=-1 15/3
= -1/5
Cross out 8 and 8. Divide by 8.
8/8= 1 , 8/8= 1
-1/5*1/1= -1/5
Answer : -1/5
Answer:
k=2
Problem:
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..
Step-by-step explanation:
Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.
So we want the following:
[(k+2)/2]^2=2k
Apply the power on the left:
(k+2)^2/4=2k
Multiply both sides by 4:
(k+2)^2=8k
Expand left side:
k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2
Subtract 8k on both sides:
k^2-4k+4=0
Factor using the identity mentioned a couple lines above:
(k-2)^2=0
Since zero squared is zero, we want k-2=0.
Adding both sides by 2 gives k=2.
Answer:
1 1/2 T garlic
Step-by-step explanation:
You used 3 times as much paprika as the recipe asks for. Therefore, to keep the ratio the same, you also have to multiply the amount of garlic by 3. So, you need 3/2 or 1 1/2 T of garlic.