9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
Answer:
The answer to your question is 5x + 6y - 42 = 0
Step-by-step explanation:
Data
y-intercept = 7
parallel to -5x - 6y = 1
Process
1.- Find the slope
- 6y = 5x + 1
y = -5/6 x - 1/6
As the lines are parallels, the slope is the same in both lines
m = -5/6
2.- Find the equation of the new line
If the line has a y-intercept of 7, it means that the point is (0, 7)
y - y1 = m(x - x1)
Substitution
y - 7 = -5/6 (x - 0)
Simplification
y - 7 = -5/6x
Equal to zero
5/6x + y - 7 = 0
Multiply by 6
5x + 6y - 42 = 0 This is the equation of the line
Answer:
See Explanation
Step-by-step explanation:
- The Three Straight paths intersect at different angles or we can say that, the amount required to turn one path onto the other path is different for each vertex. Thus, the largest angle is opposite to the longest side and the smallest angle is opposite to the shortest side.
- And if all the three points of intersection look the same, the result is a triangle with three equal angles and three equal sides.
Answer:
$1.25x+$7=$43.25
Step-by-step explanation:
Answer:
Slope: 0
Step-by-step explanation:
To find the slope use the expression y2 - y1/x2 - x1
Either of the coordinate can be y2 or y1 they just x1 and y1 have to be the same coordinate
Let's make (-12, -4) x2 and y2 & (-6, -4) x1 and y1
Next substitute the numbers into the expression
-4 +4/-12 + 6
This will equal 0/-6
The slope is only 0 because whenever you divide 0 by a number it will always be zero unless it is something like 14/0, this means it is undefined (only for slopes)