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:
10x.............
Step-by-step explanation:
or x=10
Question 1 - about half of what the white soldiers earned
Question 2 - They were the first all-African American civil war regiment
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Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).
Center of center of dilation is (2,-2).
Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.
Now, we need to apply rule for dilation with the scale factor 5/3.
<em>Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.</em>
<em>We will extend RS to 5 units and TS also 5 units.</em>
The new resulting image would be dilated triangle by a scale factor 5/3.
New coordinates would be
R'(2,3), S'(2,-2) and T'(-3,-2)
Answer:

Step-by-step explanation:
