Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?
Rewrite the equation −2y=3x+7 in the form 
Here the slope of the given line is 
If 
is the slope of perpendicular line, then
Answer 1: 
Part B. The slope of the line y=−2x+3 is -2. Since 
then lines from part A are not parallel to line a.
Since 
both lines are not perpendicular to line a.
Answer 2: Neither parallel nor perpendicular to line a
Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then
2·5+5·(-4)=b,
10-20=b,
b=-10.
Answer 3: 2x+5y=-10.
Part D. The slope of the line 
is 
Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then
7=-4·2+b,
b=7+8,
b=15.
Answer 4: y=-4x+15.
Part E. Consider vectors 
These vectors are collinear, then
Answer 5: 
Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:
Hence, the area of the circle is 81π
Answer:
a) 12cm
b) 360cm²
c) 2160cm cubed
Step-by-step explanation:
a)
you would use Pythagoras theorem for A
so half of 18 is 9
15² - 9² = 144
the square root of 144 is 12
the height is 12cm
b)
18 x 20 = 360cm²
c)
csa x L
csa = b x h divide by 2
18 x 12 = 216cm²/2 = 108cm²
108xm² x 20cm = 2160cm cubed
Answer:
84°
Step-by-step explanation:
The circle has five central angles that together equal to 360°.
55° + 37° + 96° + 88° = 276°
Hence, to find the fifth central angle, we have to subtract 276° from 360°.
360° - 276° = 84°
The degree measure of the last central angle is 84°.
Hope this helps! :)
Answer:
44
Step-by-step explanation:
5 1/2 / 1/8
turn into improper fraction
11/2 then change to multiplication
11/2*8/1(have to flip)
88/2(multiply across)
simplify=44
