Step-by-step explanation:
⅔ + ¾
→ make the denominator equal of both the fraction
= 2/3 × 4/4 = 8/12
= 3/4 × 3/3 = 9/12
hence,
8/12 + 9/12
= 8 + 9/12 = 17/12
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Answer:
13, 14
Step-by-step explanation:
The parameters of the numbers are;
A whole number value = 2 × Another number + 6
The sum of the two numbers is less than 50
Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number
Where 'x' represents the second number, we get;
x + 2·x + 6 < 50
Simplifying gives;
3·x + 6 < 50
x < (50 - 6)/3 = 14.
x < 14.
Therefore, the numbers for which the inequality holds true are numbers less than 14.. From the given option, the numbers are 13, and 14.
Answer: cos(x)
Step-by-step explanation:
We have
sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and
cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)
From eq. (1)
if x = y
sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)
From eq. 2
If x = y
cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)
cos (2x) = cos²(x) - sin²(x)
Hence:The expression:
cos(2x) cos(x) + sin(2x) sin(x) (3)
Subtition of sin(2x) and cos(2x) in eq. 3
[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)
and operating
cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)
cos (x) [ cos²(x) + sin²(x) ] = cos(x)
since cos²(x) + sin²(x) = 1
Answer:
A. y = -2/3x + 2
Step-by-step explanation:
Your is to isolate the y. The first thing you would do is subtract the 2x,
2x + 3y = 6
-2x =
3y = -2x +6
then to isolate the ,y, you would next divide everything by 3, so that the ,y, stays by itself.
3y/3 = -2x/3 +6/3
Simplify,
y = -2/3x + 2
Let's solve it step-by-step:
25 + 20 = 45
45 + 45 = 90
90 + 34 = 124
124 + 21 = 145
Therefore:
25 + 20 + 45 + 34 + 21 = 125
Hope it helped,
BioTeacher101
