Both slopes have the same value which is 7.5.
To compute for the slope we will use this formula:
m = y^2 - y^1 over x^2 - x^1
For the first slope, the points are<span> (4, 30) and (12, 90). Substitute and simplify.
m = (90 - 30) over (12 - 4)
m = 7.5
For the second slope, the points are </span><span>(4, 30) and (10, 75). Same with the above computation.
m = (75 - 30) over (10 - 4)
m = 7.5
Since the relationship is linear, the slope does not change. </span>
Answer:
∴ opposite side = √108
Step-by-step explanation:
Here hypotenuse = 12 ft
It is a right angled triangle.
here triangle ABC in which ∠ C = 60°
∠B = 90°
so ∠A = 180° -( 90 +60)
= 180 - 150
= 30°
cos 60° = adjacent side ÷ hypotenuse
= x ÷ 12
= 
12 = 2 x
∴ x = 6
adjacent side = 6
hypotenuse ² = adjacent side² + opposite side²
12² = 6² + opposite side²
144 - 36 = opposite side ²
108 = opposite side²
∴ opposite side = √108
Answer:
C
Step-by-step explanation:
We need to use the distributive property to expand this.
The property is:
a(b+c) = ab + ac
So, the part " -3(2b+1) " will becomes:
-3(2b+1) = (-3)(2b) + (-3)(1) = -6b - 3
So, the problem becomes:
-2b -3(2b+1) = -2b -6b -3
Now, we add like terms:
-2b - 6b - 3
(-2-6)b - 3
-8b - 3
This is the correct answer, answer choice C
Answer:corvette correct
Step-by-step explanation:
2(x+6)=-36 2(x+6)=-36 2(x+6)=-36 2(x+6)=-36
True, since the edge of circle is tangent to the length of triangle.
