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polet [3.4K]
2 years ago
10

With the definition of the derivative, determine the formula logx!​

Mathematics
1 answer:
Ede4ka [16]2 years ago
5 0

Answer:

sorry i dont know the answer .

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find an equation of the line passing through the point (-4,-6) that is parellel to the line y=-2/9x-1
ryzh [129]

<em><u>The equation of the line passing through the point (-4,-6) in slope intercept form is:</u></em>

y = \frac{-2}{9}x -\frac{62}{9}

<em><u>Solution:</u></em>

Given that we have to write the equation of the line passing through the point (-4,-6) that is parallel to the line y=-2/9x-1

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ---------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

<em><u>Given equation of line is:</u></em>

y = \frac{-2x}{9} -1

<em><u>On comparing the above equation with eqn 1,</u></em>

m = \frac{-2}{9}

We know that slopes of parallel lines are equal

Thus slope of line parallel to given line is also \frac{-2}{9}

Now find the equation of line with slope \frac{-2}{9} and passing through (-4, -6)

\text{Substitute } m = \frac{-2}{9} \text{ and } (x, y) = (-4, -6) \text{ in eqn 1}\\\\-6=\frac{-2}{9} \times -4+c\\\\-6 = \frac{8}{9}+c\\\\-6 = \frac{8+9c}{9}\\\\-54 = 8+9c\\\\9c = -62\\\\c = \frac{-62}{9}

\text{Substitute } m = \frac{-2}{9} \text{ and } c = \frac{-62}{9} \text{ in eqn 1}\\\\y = \frac{-2}{9}x -\frac{62}{9}

Thus the equation of line is found

4 0
3 years ago
joanna split three pitchers of water equally among her eight plants.what fraction of a pitcher did each plant get
Valentin [98]

Answer: \dfrac{3}{8}

Step-by-step explanation:

Given : Joanna split three pitchers of water equally among her eight plants.

i.e. The total number of pitcher plants = 8

The number of pitcher plants split by Joanna = 3

Then , the fraction of a pitcher did each plant get is given by :-

\dfrac{\text{No. of plants splits}}{\text{Total number of plants}}\\\\=\dfrac{3}{8}

Hence, the fraction of a pitcher did each plant get = \dfrac{3}{8}

4 0
3 years ago
Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK
Dimas [21]
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


3 0
4 years ago
C added to 45 as a algebraic expression
shepuryov [24]
45 + C
This is simple, don't over think these problems <3

8 0
3 years ago
Read 2 more answers
What is the value of x using the pythagorean theorem ?
nikitadnepr [17]
Side a is 49
side c is 121
121-49 is 72
72 squared is your x
4 0
4 years ago
Read 2 more answers
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