Answer:
we should know that :
sin ( a + b ) = sin a * cos b + sin b cos a
For the given equation :
sin (π + q) = sin π * cos q + sin q * cos π
sin π = zero and cos π = -1
∴ sin (π + q) = 0 * cos q + sin q * (-1) = - sin q
<u>Another solution:</u>
The angle (π + q) lies in the third quarter ⇒ (1)
(π + q) and (-q) are supplementary angles ⇒ (2)
From (1) and (2)
sin(π + q) = -sin q
Answer:
option a
Explanation:
AD and DE are perpendicular lines, meaning they are at a 90° angle. likewise, AD and AB are also perpendicular lines. this means that there are 90° angles at ∠ADE and ∠DAB.
since both DE and AB are perpendicular to the same line and are positioned at the same angle away from it, they are parallel lines.
i hope this helps! :D
Answer:
-6x + 15 = - 69 which x = 14
Step-by-step explanation:
You cannot solve this equation. There is no equal sign anywhere. Either you mean
-6x = 15 in which case the answer is
-6x/-6 = 15/-6
x = - 2 1/2 or x= - 2.5
or you mean that you use the distributive property
- 3(2x + 5)
You may have left something out of this.
-6x + 15 = - 69
You can do it now that you have the complete equation. But you need the entire equation before you can answer the question.
Subtract - 15 from both sides.
-6x + 15 - 15 = -69 - 15
-6x = - 84
Divide by - 6
-6x/-6 = - 84/-6
x = 14
But what you want is
-6x + 15
-6*14 + 15
-84 + 15
-69
-6x + 15 = - 69
when x = 14 which is usually what you are asked.
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Step-by-step explanation:
Given
The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2
As the product of slopes of two perpendicular lines is -1.
Slope intercept form is:
Putting the value of slope
y=-2x+b
To find the value of b, putting (9,8) in the equation
Putting the values of b and m
Hence,
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
#LearnwithBrainly
Answer:
a
Step-by-step explanation:
hope this helps
;)
