Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
Answer:
65°
Step-by-step explanation:
JM = JK (all sides of a rhombus are equal)
Angle JKM = 25° (isosceles triangle)
Angle JKL = 50° (consecutive angles of rhombus)
Angle MKL = 25° (angle subtraction)
Angle MLK = 130° (opposite angles of a rhombus)
Angle KLN = 50° (angles on a straight line)
Angle LKN = 40° (angle sum of triangle)
Angle MKN = 65° (angle addition)
Answer:
1m
The greatest common factor is one. They also have an ‘m’ in common
Hope this helps
Answer:
48 , 336
Step-by-step explanation:
B= 6 x 8 = 48
V=BH
V=48 x 7
V= 336
Answer:
B (3x / ( 5pi)) ^ 1/3 = r
Step-by-step explanation:
x=5/3 pi r ^3
Multiply each side by 3/5
3/5 x= pi r ^3
Divide each side by pi
3x / ( 5pi) = pi r^3 /pi
3x / ( 5pi) = r^3
Take the cube root of each side
(3x / ( 5pi)) ^ 1/3 = r^3 ^ 1/3
(3x / ( 5pi)) ^ 1/3 = r
