Answer:
C - 9 cm
Step-by-step explanation:
We can use the Pythagorean theorem to figure out the missing side length, in this case, X.
The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:
a^2 + 12^2 = 15^2;
If we simplify the squares by simply doing them: a^2 + 144 = 225;
Now let's subtract 144 from both sides to isolate the variable, a:
a^2 = 81;
Now we square both sides to find a:
a = 9
The missing side length is 9 cm.
The answer is like $35,800 or something like that. Very close approximate answer
Combine like terms
assuming those 2s are exponents
-3x^2+2y^2+5xy-2y+5x^2-3y^2
move all x's together all y's together and all xy's together
-3x^2+5x^2+2y^2-3y^2+5xy
combne like terms
2x^2-y^2+5xy
3 terms
1 term is negative
<h2>
Answer: 31 & 32</h2>
Step-by-step explanation:
So we first need to assign letters to represent the numbers.
Let 'a' be the larger number and 'b' the smaller.
Now we can use this to write equations that we can solve simultaneously to find both 'a' and 'b'.
according to the question:
a + 4b = 156 [1]
a - b = 1 [2] (this is because the integers are consecutive
We can rearrange [2] to make 'a' the subject: a = b + 1 [3]
We can then substitute [3] into [1] and solve for b
(b + 1) + 4b = 156
5b = 155
b = 31
Now we can find 'a' using [3]
a = 31 + 1
a = 32
X=
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