Answer:
B
Step-by-step explanation:
A:
Completing the square: (x+ 7/2)^2 = -2 + 49/4 = 41/4, in the next step you'll be square rooting a positive number so it'll have real roots.
B:
Completing the square: (x+3/2)^2 = -9 + 9/4 = -27/4, you'll next be square rooting a negative number, so it'll have complex roots
C:
Completing the square: (x-5/2)^2 = -1 + 25/4 = 21/4, next you'll square root a positive number, so real roots
D:
Completing the square: (x+7/2)^2 = 2 + 49/4 = 57/4, square root a positive number, so real roots.
y = x + 3
as x increases by 1, y increases by 1 (Slope)
when x equals 0, y equals 3 (y-intercept)
Answer:
x = 22 degrees
Step-by-step explanation:
Since this is a right angle and both angles added together will equal to 90degrees this means that:
(3x-5) + (x+7) = 90
(first, remove the brackets)
3x-5+x+7 = 90
( add the numbers together and the term x together)
( 3x+x ) + ( -5+7 ) = 90
4x + 2 = 90
(subtract 2 from both sides)
4x = 88
(divide by 4 from both sides)
x = 22
so the measure of x = 22 degrees
Answer: They are similar because they intersect with each other at (-1,3).
A circle is 360° all the way around; therefore, if you divide an arc's<span> degree </span>measure<span> by 360°, you </span>find<span> the fraction of the circle's circumference that the </span>arc<span> makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you </span>get<span> the length along the </span>arc<span>.</span>
