Given:
The equation of the curve is:
To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,
Differentiate the given equation with respect to x.
Now we need to find the value of this derivative at (2,7).
Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Answer:Yes they are equivalent.
Step-by-step explanation:
3/4a + 8 - 1/4a - 2 1/2(a + 12)
Combine like terms Distributive property
2/4a+6 1/2a+6
2/4=1/2 (simplify)
1/2+6=1/2+6
Answer:
No
Step-by-step explanation:
Answer:
y=4x-3
Step-by-step explanation:
Parallel lines will always have the same slope (the number that comes before x in an equation). So, we can plug in 4 to the equation.
y=4x+?
Let's say the ? is b. If we plug in the point (1,1) into y=4x+b, we get
1=4(1)+b
reduce
1=4+b
subtract 4 from both sides
-3=b
and now we can add b=-3 into the original answer, and we get y=4x-3!
Answer:
64°
Step-by-step explanation:
Angles in a straight line add up to 180° so 180° - 116° = 64°
