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dsp73
3 years ago
10

Guys I need help on number 19 and 20.

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

vdidnrnrreherirrirjrjr

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The tangent line to y= f(x) at (4,-6) passes through the point (10,9) Compute the following, f(4) and f'(4)
Anni [7]
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.

3 0
3 years ago
How many integer solutions are there to the equation x1+x2+x3=0 if x1,x2,x3 &gt; -5?
anyanavicka [17]
<span>x1+x2+x3=0 if x1,x2,x3 > -5? 
and the solutions are integer
x1= - 4 and x2+x3=4 we count (-4;4;0), (-4;0;4), (-4;3;1), (-4;1;3), (-4; 2;2), (-4;2;2)
x1= -3 and x2+x3=3 we count (-3; 0;3), (-3;3;0), (-3;1;2), (-3;2;1)
x1= -2 and x2+x3=2 we count (-2;0;2). (-2;2;0), (-2;1;1)
x1= -1 and x2+x3=1 we count (-1;0;1), (-1;1;0)
x1=0 and (0;0;0), (0;1;-1), (0;-1;1)
There are 42 solutions
Have fun</span>
4 0
3 years ago
Abcd is a rectangle.​
Svetllana [295]
It’s within reach. .. ..
8 0
3 years ago
Xyz-4 xy+5 from 5 from 5xyz+xy+3yz_4​
Inessa [10]
<h3>Answer</h3>

Page No 7.13:

Question 1:

Add the following:

(i) 3x and 7x

(ii) −5xy and 9xy

ANSWER:

We have

(i) 3x + 7x = (3 + 7)x = 10x

(ii) -5xy + 9xy = ( -5 + 9)xy = 4xy

7 0
3 years ago
Can someone please help me
arlik [135]

Answer:

It might be 2/3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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