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Gennadij [26K]
3 years ago
11

Which of the following is the equation of a line that passed though the points (2,5) and (4,3)

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

The correct answer is C as it has the same line of equation. We can make this clear by verifying that these two points make the same equation or not. So as we can see if we calculate the gradient using the formula y2 - y1 / x2 - x1.

As we now know that the gradient is -1. We can simply put any one point in the equation y - y1 = m(x - x1) to get the line of equation. WHen we calculate the line of equation it come out to be y = -x + 7

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I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }

5 0
3 years ago
 PLEASE HELP!!!!!!
expeople1 [14]
The answer is forty five.
6 0
3 years ago
Read 2 more answers
How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m?
DochEvi [55]
   
\displaystyle\\
\bold{A= b \times h} \\  \\ 
\bold {\Longrightarrow~~~ b =  \frac{A}{h} =   \frac{100}{5} =}~  \boxed{\bold{20~m }}



4 0
3 years ago
How do you add vectors? Add the vector 3,4 to the vector that goes 7 units at an angle of 2π/3.
Gekata [30.6K]

The sum of two vectors is (- 0.5, 10.1)

<u>Explanation: </u>

To add two vectors, add the corresponding components.

Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.

Then, the sum of u and v is the vector

u +v =⟨u1+v1, u2+v2⟩

(b)

Two vectors = ( 3, 4 )

angle 2π/3 = 120°

In x axis, the vector is = 7 cos 120°

                           = 7 X -\frac{1}{2} \\\\= -3.5

In y axis, the vector is = 7 sin 120°

                                  = 7 X 0.866

                                  = 6.062

The second vectors are ( -3.5, 6.062)

Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]

                              = (- 0.5, 10.1)

6 0
3 years ago
Which is the complete factorization of this expression -25x-25
Annette [7]

Factor −25x−25

−25x−25

=−25(x+1)

Answer:

−25(x+1)

7 0
3 years ago
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