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Nesterboy [21]
3 years ago
15

Y=4x+1, 2x+y=37 substitution

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0

Answer:

<em>x = 6 and y = 25 → (6, 25)</em>

Step-by-step explanation:

Substitute y = 4x + 1 to the equation 2x + y = 37:

2x + (4x + 1) = 37

(2x + 4x) + 1 = 37        <em>subtract 1 from both sides</em>

6x = 36           <em>divide both sides by 6</em>

x = 6

Pyt the value of x to the first equation:

y = 4(6) + 1

y = 24 + 1

y = 25

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Step-by-step explanation:

6 0
3 years ago
Triangle ABC has vertices A (-2, -1), B (-2, 5) and C (1, -1). Calculate the perimeter of the triangle.​
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Step-by-step explanation:

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3 years ago
At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

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(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

   (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

    (4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

3 0
3 years ago
Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t
gayaneshka [121]

ANSWER

( -  \frac{23}{5} , - 4)

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

x = \frac{ mx_2+nx_1}{m + n}

y= \frac{ my_2+ny_1}{m + n}

Where m=3 and n=2

x = \frac{ 3 ( - 9)+2(2)}{3+ 2}

x = \frac{  - 23}{5}

y= \frac{ 3( - 6)+2( - 1)}{3 + 2}

y= \frac{  - 20}{5}  =  - 4

The point is

( -  \frac{23}{5} , - 4)

4 0
3 years ago
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