Hello,
A=(3,-4)
B=(-2,-1)
m=(-4+1)/(3+2)=-3/5
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Answer:
Simplifying
6x + -3 = 21 + -2x
Reorder the terms:
-3 + 6x = 21 + -2x
Solving
-3 + 6x = 21 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-3 + 6x + 2x = 21 + -2x + 2x
Combine like terms: 6x + 2x = 8x
-3 + 8x = 21 + -2x + 2x
Combine like terms: -2x + 2x = 0
-3 + 8x = 21 + 0
-3 + 8x = 21
Add '3' to each side of the equation.
-3 + 3 + 8x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 8x = 21 + 3
8x = 21 + 3
Combine like terms: 21 + 3 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
Step-by-step explanation:
Well, lets think about this. We need to ask our self how many seconds are in one minute. There are 60 seconds in 1 minute. We know he did 4 laps in 5 minutes and 40 seconds. You can change the minutes to seconds by multiplying 60 * 5 = 300 seconds. So 5 minutes = 300 seconds. Now just take the 40 seconds and add it to the 300 seconds, which will give you 340 seconds. So John ran 4 laps in 340 seconds. B wants to know how many seconds it took John per lap...We can find this by dividing 340 by 4 340/4 = 85.
A) 340 seconds
B) 85 sec/lap
Answer:
True
Step-by-step explanation:
a x ( b + c ) = a x b + a x c Substitute
-5 x ( 11/8 + c ) = -5 x 11/8 + -5 x c
-5 ( c + 11/8) = - 5c - 55/8
- 5c - 55/8 = - 5c - 55/8
True
Since the triangles are similar, the ratio of the sides of larger triangle to the smaller triangle is a constant.
That constant =
Since the sides are in that constant proportion, the area of the triangles will also be in proportion.
(Area of larger triangle) over (Area of smaller triangle) =
= 123.6 ≈ 124
Hence, to the nearest whole number the area of smaller triangle is 124 <span>ft</span>²<span>.</span>
