Answer:
The answer is D
Step-by-step explanation:
All you have to do is distribute.
x^2(5x-4)+4(5x-4) =
5x^3-4x^2+20x-16
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.
Answer:
A
Step-by-step explanation:
Since D is an inscribed angle opposite of an 80 degree arc, its measure must be half that of the arc. Therefore, the measure of angle D is 80/2=40 degrees, or answer choice A. Hope this helps!
the volume of the sculpture is 
.
<u>Step-by-step explanation:</u>
Here we have , An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the sculpture . Let's find out:
We know that
⇒ 
According to question ,
⇒ 
⇒ 
⇒ 
Now , We know that Volume of cone :
⇒
⇒
⇒
Therefore , the volume of the sculpture is .
