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4 years ago

What is the equation of the line perpendicular to y+2=3/4x-8 and contains the point (-12,1)

Mathematics

1 answer:

CaHeK987 [17]4 years ago

8 0

Answer:

The equation of the line would be y = -4/3x - 15

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 3/4, we know the new line will have a slope of -4/3. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 1 = -4/3(x + 12)

y - 1 = -4/3x - 16

y = -4/3x - 15

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Solve the system of equation by guess sidle method

lilavasa [31]

Answer: The solution is,

$x_1\approx 0.876$

$x_2\approx 0.419$

$x_3\approx 0.574$

Step-by-step explanation:

Given equations are,

$8x_1 + x_2 + x_3 = 8$

$2x_1 + 4x_2 + x_3 = 4$

$x_1 + 3x_2 + 5x_3 = 5$ ,

From the above equations,

$x_1=\frac{1}{8}(8-x_2-x_3)$

$x_2=\frac{1}{4}(4-2x_1-x_3)$

$x_3=\frac{1}{5}(5-x_1-3x_2)$

First approximation,

$x_1(1)=\frac{1}{8}(8-(0)-(0))=1$

$x_2(1)=\frac{1}{4}(4-2(1)-(0))=0.5$

$x_3(1)=\frac{1}{5}(5-1-3(0.5))=0.5$

Second approximation,

$x_1(2)=\frac{1}{8}(8-(0.5)-(0.5))=0.875$

$x_2(2)=\frac{1}{4}(4-2(0.875)-(0.5))=0.4375$

$x_3(2)=\frac{1}{5}((0.875)-3(0.4375))=0.5625$

Third approximation,

$x_1(3)=\frac{1}{8}(8-(0.4375)-(0.5625))=0.875$

$x_2(3)=\frac{1}{4}(4-2(0.875)-(0.5625))=0.421875$

$x_3(3)=\frac{1}{5}(5-(0.875)-3(0.421875))=0.571875$

Fourth approximation,

$x_1(4)=\frac{1}{8}(8-(0.421875)-(0.571875))=0.875781$

$x_2(4)=\frac{1}{4}(4-2(0.875781)-(0.571875))=0.419141$

$x_3(4)=\frac{1}{5}(5-(0.875781)-3(0.419141))=0.573359$

Fifth approximation,

$x_1(5)=\frac{1}{8}(8-(0.419141)-(0.573359))=0.875938$

$x_2(5)=\frac{1}{4}(4-2(0.875938)-(0.573359))=0.418691$

$x_3(5)=\frac{1}{5}(5-(0.875938)-3(0.418691))=0.573598$

Hence, by the Gauss Seidel method the solution of the given system is,

$x_1\approx 0.876$

$x_2\approx 0.419$

$x_3\approx 0.574$

4 0

3 years ago

Three-fourths of the students at Washington Junior High play sports. There are 510 students who play sports.

LuckyWell [14K]

Answer:

510 divided by 3= 170 170x4= number of students

4 0

3 years ago

which of the following equations represents a line that is parallel to y=5x-4 and passes through the point , 3,4

Ulleksa [173]

Answer:

y=5x-11

Step-by-step explanation:

parallel lines have the same slope 5

y-4=5(x-3)

y-4=5x-15

y=5x-15+4

y=5x-11

3 0

3 years ago

I will give out BRAINLIEST for the correct answer!

earnstyle [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

You must show all work. No decimal answers leave in fraction form and reduce.<br> 3[75÷(3^3-2•6)+7]

ololo11 [35]

Answer:

Step-by-step explanation:

The bolded letters are the differences in each step.

Your biggest friend in this problem is P.E.M.D.A.S (or synonyms to it)

It stands for Parenthesis, Exponents, Multiplication/Division, Addition/subtraction.

3[75÷(3^3-2•6)+7]

3[75÷(27-2•6)+7]

3[75÷(27-12)+7]

3[75÷15+7]

3(5+7)

3•12

I hope this helps!

7 0

3 years ago