The solution to your problem is as follows:
The tangent line passes through (4,-6), so x = 4 when y = -6
=> f(4) = -6
The tangent line will have a constant gradient.
gradient is m = (-6 - 9)/(4 - 10) => 5/2
Equation is y - 9 = (5/2)(x - 10)
=> y - 9 = (5/2)(x-10)
<span>i.e. y = (5/2)(x-10) + 9
</span> y = (5/2)x - 25 + 9 = y = (5/2)x - 16
Now, f '(x) = dy/dx = 5/2
so, f '(4) = 5/2....i.e. gradient is 5/2 whatever the value of x.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
I'm pretty sure this is right
Answer:
3.2
Step-by-step explanation:
12 4/5 times 1/4= 3 1/5 or 3.2
Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
Answer:
The diagonal of the base is 4√5 centimeters.
The area of a base is 40 square centimeters.
The area of a lateral side between the bases is about 126.5 square centimeters.
Step-by-step explanation:
The volume of any rectangular prism can be found by the formula
volume =B.h
where B = area of base and h is the height of the prism.
It is given the volume of prism is 800 cubic centimeters and height is 20 centimeters.
Substituting these values in the volume formula :
800= B(20)
Or B= 800÷20=40.
Hence area of base is 40 square centimeters.
The diagonal of base = 
=
The Volume of prism is 800 cubic unit and base area is 40 square units .Lateral area = area of all sides except the base = 126.5 square centimeters.
