Answer:
x = - 6 ± 
Step-by-step explanation:
Given
x² + 12x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = 1 + 36
(x + 6)² = 37 ( take the square root of both sides )
x + 6 = ±
( subtract 6 from both sides )
x = - 6 ±
← exact solutions
A standard-form equation for the perpendicular line will have the x- and y-coefficients swapped and one of them negated. (This gives a line with a slope that is the negative reciprocal of the original line, as is required for a perpendicular line.) Thus, you can look for an equation of the form
2x +5y = c
for some constant c that make the line go through the required point. This is matched by the
2nd selection. It also tells you the coefficients of x and y will be in the ratio 2:5. The only other choice that has coefficients like this is the 3rd choice, but it has the sign wrong.
The only appropriate selectin is
2x + 5y = -10
Sorry for the handwriting but I hope this helps!
Answer:
140°
Step-by-step explanation:
<u>Given:</u>
Dana draws a triangle with one angle that has a measure of 40∘.
<u>Question asked:</u>
What is the measure of the angle’s adjacent exterior angle?
Solution:
<u>As we know:</u>
<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>
Interior angle = 40°
Adjacent exterior angle = ?
Interior angle + Adjacent exterior angle = 180°
40° + Adjacent exterior angle = 180°
<u>By subtracting both sides by 40°</u>
40° - 40° + Adjacent exterior angle = 180° - 40°
Adjacent exterior angle = 140°
Therefore, the measure of the angle’s adjacent exterior angle will be 140°.