Answer:
i) vertical
ii) corresponding
iii) alt. interior
iv) corresponding
v)alt. exterior
vi) corresponding
Step-by-step explanation:
corresponding angles make an F when traced, alternate interior angles make a Z when traced, and same side interior angles make a C when traced. (just a tip!)
Answer:
144 goes with 12, 36 goes with 6, 9 goes with 3, and 121 goes with 11.
Step-by-step explanation:
The second number stated in each phrase is time itself to create the first number. For example, 144. If we take the second number in the number phrase (12) and time it by itself (12 * 12) it equals 144. This applies to each number phrase.
Answer: The equation of the parabola is 
.
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,
Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,
On comparing,
.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),
Put this value in (1).
Put p= -6, h= -5 and k=1 in the standard form of the parabola.
Therefore, the equation of parabola is .
Answer:
I say X
Step-by-step explanation:
I hope I helped
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
