12.
y = kx
8 = -4k
so k = -2
y = -2x
y = -2 (7)
y = -14
13.
y = kx
15 = 6k
so k = 15/6 = 2.5
y = 2.5x
y = 2.5 (7)
y =17.5
14.
y = kx
3 = 9k
so k = 3/9 = 1/3
y = 1/3x
y = 1/3 (7)
y =7/3
15
y = kx
-4 = 4k
so k = -4/4 = -1
y = - x
y = - (7)
y = -7
16.
Yes. y varies directly with x
slope = (3+6)/(2+1) = 9/3 = 3
y = mx + b
-6= 3(-1) + b
b = -6 + 3 = -3
equation y = 3x -3
17.
Yes
slope = (2.5 - 7.5)/(-1+3) = -5/2 = -2.5
y = mx + b
7.5= -2.5(-3) + b
7.5 = 7.5 + b
so b = 0
equation
y = -2.5x
Let us convert both speeds to meters per minute.
The turtle:
27 km/ hr
1000 m in a kilometer
60 minutes in an hour
(27*1000)/60
= 450 m/min
The girl:
14 dm/ s
0.1 m in a dm
1/60 minutes in a second
(14*0.1)/(1/60)
= 84 m/min
The turtle is
450 - 84
= 366 m/min faster than the girl
Answer:
it's scalene obstuse
Step-by-step explanation:
scalene because all of the sides are different lengths. obtuse because the angle adjacent to the hypotenuse is greater than 90 degrees.
Its B -7/3 because <span>BCYZ</span><span> = </span><span>ACXZ</span>
<span>(x + 5)(x + 3)</span><span> = </span><span>(x + 1)(x + 2)</span>
x = -<span>7<span>3</span></span>
