They are terms<span> that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only </span>like terms<span> can be combined. We combine </span>like terms<span> to shorten and simplify algebraic expressions, so we can work with them more easily.</span>
Whatever coordinates you have for f(x). Just switch the x coordinate with the y coordinate and thats the relation between f(x) and g(x) because they are inverses.
if on f(x) you have (2,4) then on g(x) you would have (4,2).
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.
Answer: A, D, and E
Step-by-step explanation:
Basically, you want to divide each of these answers by 5. Which ever one gives you a solid number (meaning no decimals) then that would be one option.
Hope this helps!
Answer:
1<y≤8
Step-by-step explanation:
step 1
The number is y and it is greater than one.
The sign for greater than in mathematics is '>'
Therefore, we can write
y>1
And it means 1 is less than y
Less than = <
1<y
Step 2
y is less than or equal to 8. In mathematics, the 'less than or equal to' sign is '≤'
Therefore, we can write
y≤8
Step 3
We then combine these two inequalities
1<y≤8
