Answer: k=21
Step-by-step explanation:
1. Distribute the 9 to the k and the -4 in the parentheses.
9 · k = 9k and 9 · -4 = -36
You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.
2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.
-2 · k = -2k and -2 · -8 = 16
You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.
3. Now you should have the equation 2k - 36 = 48 - 2k.
You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.
Ex: 2k - 36 = 48 - 2k
+2k +2k
4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.
You should now have 4k = 84 (48 + 36 = 84).
Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.
Answer:
Complement: 63°
Supplement: 153°
Step-by-step explanation:
NOTE: Supplementary angles are two angles that have a sum of 180°. Complementary angles are two angles that have a sum of 90°.
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Answer:
35
Step-by-step explanation:
Given that a fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions, pickles, lettuce, and tomato.
A customer can choose from these 7 options 4 different options in 7C4 ways
This is because order does not matter here
So we use combinations here
Total no of ways a customer choose four different toppings from these
options=7C4
=35
Answer is 35
Answer:
(0, -5), (4, -2), (-16, -17)
Step-by-step explanation:
I attach your full question in the image below
The equation is
3x-4y-8=12
Which can be rewritten as
3x-4y =12 +8
3x-20 = 4y
y = (3/4)*x - 5
We need to check each individual case
(0,-5)
y = (3/4)*(0) - 5
y = -5
True
(4,-2)
y = (3/4)*(4) - 5
y = -2
True
(8,2)
y = (3/4)*(8) - 5
y = 1
False
(-16,-17)
y = (3/4)*(-16) - 5
y = -17
True
(-1,-8)
y = (3/4)*(-1) - 5
y = -23/4
False
(-40,-34)
y = (3/4)*(-40) - 5
y = -35
False
(0,-5) (4,-2) and (-16,-17) are the solutions
