Step-by-step explanation:
-2x+3=x+12
combin like terms
-2x-x=12-3
-3x=9
x=9/-3
x=-3
Step-by-step explanation:
1. 18(5)=90 18(6)=108
90*108= 9720
Her size of the original work was 9720 inches.
2. 1/2+1/2= 1 1/2=4 ft
The pole is 8 feet tall
3. 3 feet
2.1 m²
so um it's a regular hexagon since all of its side lengths are equal.
Mark brainliest please
Answer:
x = {-5π/4, -3π/4, 3π/4, 5π/4}
Step-by-step explanation:
You know that sec(x) = 1/cos(x), so this is equivalent to ...
cos(x) = -1/√2
The cosine has a magnitude of 1/√2 for an angle of 45°, or π/4 radians. It is negative in the 2nd and 3rd quadrants. Angles in those quadrants that have a reference angle of π/4 are ...
3π/4, 5π/4
We also want angles in the range -2π to 0, so all of the solutions will be ...
sec(x) = -√2 for x = {-5π/4, -3π/4, 3π/4, 5π/4}
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We like to use the x-intercept as the solution when graphing, so we write the given equation as ...
sec(x) +√2 = 0
The graph verifies the above solutions.
To find this answer, you need to find a common denominator. A common denominator is when the number on the bottom of two fractions is the same. The easiest was to do this is to first multiply the two denominators, then multiply the numerator (or top number) by the opposite denominator. This sounds complicated, but it's pretty simple. Here's the equation written out. (I hope this helps!)
4*8 = denominator for both numbers.
8*1 = numerator for the first number
4*1 = numerator for the second number.
This should give you the fractions with common denominators, 8/32 and 4/32. Then, to compare the fractions, just see which numerator is larger. In this case, 8 is larger than 1 which shows that 1/4 is greater than 1/8.
I hope this made sense. There's more than one way to solve these problems, so comment below if you would like me to explain it differently and I'll get back to you as soon as I can! :)
