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s344n2d4d5 [400]
3 years ago
13

What is the solution of 5/2x -7 = 3/4x +4

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

Step-by-step explanation:

10x-35=12x +  12

10X-12X=12+35

-2x=47

2x=-47

x=-47/2

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What is the equation in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4?
Nimfa-mama [501]

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Step-by-step explanation:

Given

m=4

and

Point = (x1,y1) = (-1,-3)

The general form of point-slope equation of line is:

y-y_1=m(x-x_1)\\Putting the values of m, x_1 and y_1\\y-(-3)=4(x-(-1))\\y+3=4(x+1)

Hence,

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Keywords: Point-slope form, Slope

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

5 0
3 years ago
What curve passes through the point ​(1 ​,2​) and has an arc length on the interval​ [2,6] given by Integral from 2 to 6 StartRo
Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx

Length of curve is given by

L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx over interval a to b

comparing two we get

\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}

dy=8x^{-3}dx

integrating

\int dy=\int 8x^{-3}dx

y=-4x^{-2}+C

Curve Passes through (1,2)

1=-4+C

C=5

curve is

y+\frac{4}{x^2}=5

3 0
3 years ago
The distance from Earth to Pluto is about 5,750,000,000 km. How many light-years is this?
maks197457 [2]

Answer:

The average distance between Earth and Pluto is same as average distance of Pluto from the Sun. This is 0.000628 light years, nearly.

Explanation:

The average distance obetween two planets is nearly the average distance of the outer planet from the Sun. Earth is inner to Pluto. Average Sun-Pluto distance = 5906.4 million km. Divide by 149597870 to get distance in Au. Further divide by 62900 to get distance in ly.

4 0
2 years ago
In a rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆P
ololo11 [35]
Angles PMN and MPN are also 16 because the triangles are isosceles.
The measure of the third angle (angle N) is 148 which also equal to the measure of angle K. The measure of angle PKE is 74 which half of the measure of angle N and angle K.<span />
5 0
3 years ago
Read 2 more answers
Examine the system of equations,
salantis [7]

Answer:

y= 11

Step-by-step explanation:

First label the 2 equations.

y= 5x +6 -----(1)

y= x +10 -----(2)

susbt. (1) into (2):

5x +6= x+10

5x -x= 10 -6 <em>(bring</em><em> x terms to 1 side, constant to the </em><em>other)</em>

4x= 4 <em>(</em><em>simplify</em><em>)</em>

x= 4 ÷4

x= 1

susbt. x=1 into (2):

y= 1 +10

y= 11 <em>(</em><em>simplify</em><em>)</em>

Thus, the value of y is 11.

6 0
3 years ago
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