Answer:
18X+6
Step-by-step explanation:
Area of a triangle is half into base into height... forget about other things
Answer: See the diagram below.
This diagram shows a closed filled in circle at -14 on the number line. Also, the shaded region is to the left of the closed circle. This visually represents values that are smaller than -14, or equal to -14.
The filled in circle is used to indicate "include this endpoint". In contrast, an open hole indicates "do not include this endpoint" which is only used if the inequality was
instead of
. The "or equal to" portion is why we include the endpoint.
Answer:
D. y²/5² - x²/8² = 1
Step-by-step explanation:
A and B are both incorrectly oriented, and D is the only hyperbola that contains the points (0,5) and (0,-5).
Verification (0,5) and (0,-5) are in the hyperbola:
First replace x and y with corresponding x and y values (We will start with x=0 and y=5)

Then simplify.



If the result is an equation (where both sides are equal to each other) then the original x and y values inputted are valid. The same is true with x and y inputs x=0 and y=-5, or any other point along the hyperbola.
Answer:
5x-6+7x+12=180
Step-by-step explanation:
5x+7x = 12x
12x - 6 +12 = 180
add 12 and -6 to get 6.
12x + 6 = 180
subtract 6 from both sides to get 174.
12x = 174.
now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6
Answer:
d. The common ratio is 1.1
Step-by-step explanation:
To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).
In this case, since
, it has a common ratio.
To find it, we divide consecutive terms. For example:

So the correct answer is:
d. The common ratio is 1.1