Answer:
It’s c. -37 and -3
Step-by-step explanation:
When you add them together you get 238.
Answer: B) 3+y+3
This can be simplified to y+6, but the current un-simplified expression has 3 terms.
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Explanation:
Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.
Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.
Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.
Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.
Answer:
55 degrees and 125 degrees
Step-by-step explanation:
Supplementary means that they add up to 180.
x + y = 180
Let's let x be the larger angle.
x = 15 + 2y
The above equation comes from the information given, that it's 15 more than twice the smaller angle.
Now let's use substitution.
x + y = 180
(15 + 2y) + y = 180
15 + 3y = 180
3y = 165
y = 55
The smaller angle is 55. Plug this back in to the first equation to get x.
x + y = 180
x + 55 = 180
x = 125
Now that you have both, test them again just to be sure that they fit the given conditions.
Answer:
z=1.5
Step-by-step explanation:
Simplifying
6z + 3 + -4z = 9
Reorder the terms:
3 + 6z + -4z = 9
Combine like terms: 6z + -4z = 2z
3 + 2z = 9
Solving
3 + 2z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2z = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 2z = 9 + -3
2z = 9 + -3
Combine like terms: 9 + -3 = 6
2z = 6
Divide each side by '2'.
z = 3
Simplifying
z = 3
