MATHEMATICS MIDDLE SCHOOL

Equation through (-1,4) and perpendicular to 3y=2x-1

Answers

Answer 1

Answer:

Answer:

The equation of line perpendicular to given line and passes through points ( - 1 , 4 ) is 2y = -3x + 5

Step-by-step explanation:

Given line equation as :

3 y = 2 x - 1

Or, y = $(2)/(3)$ x - $(1)/(3)$

So , The equation is in the form of y = m x + c

Where m is the slope of the line

∴ satisfying the condition

Slope of given line is m = $(2)/(3)$

Now , ∵ The other line is perpendicular to this line and passes through point ( - 1 , 4 )

Let , Slope of other line = M

∴ for perpendicular line condition , products of the slope = - 1

I.e m × M = - 1

Or , M = - $(1)/(m)$

Or M = - $(1)/((2)/(3))$

Or M = - $(3)/(2)$

Thus The equation of line with slope M and passing through points ( - 1 , 4 ) is

$y-y_1 = M (x-x_1)$

or, $y-4 = - [tex](3)/(2)$ (x + 1)[/tex]

or, 2y - 8 = - 3 (x +1)

Or, 2y - 8 = - 3x - 3

or 2y = - 3x - 3 + 8

∴ 2y = -3x + 5

Hence The equation of line perpendicular to given line and passes through points ( - 1 , 4 ) is 2y = -3x + 5 Answer

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Answers

To start, divide 0.6 by 10.
0.6/10
Now look at it, sentence should be 0.6 is 10 times as much as 0.06
To check just simply do 0.06 * 10 = 0.6
and it is correct.

0.6 / 10 = 0.06 and that is your answer.

How can I anwser this one? ?
4x2+16x=0

Answers

$4x^2+16x=0$

$(4x^2+16x)/(4) =(0)/(4)$

$x^2+4x=0$

$x(x+4)=0$

$x=0$

$x+4=0$

$x+4-4=0-4$

$x=-4$

$x=-4,0$

Divide each side of the equation by 4 :

x² + 4x = 0

Factor the left side:

x (x + 4) = 0

This equation is true if x=0 or if x=-4 , so those are the two solutions.

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted left 1 unit. B. The graph of h is the graph of g horizontally shifted right 1 unit. C. The graph of h is the graph of g vertically shifted down 1 unit. D. The graph of h is the graph of g vertically shifted up 1 unit.

Answers

Answer:

Step-by-step explanation:

The graph of g(x), if translated upward by 1 unit, becomes the graph of h(x) = g(x) + 1.

Answer:

other person in correct!!!!!!!!!!!!!!

Step-by-step explanation:

Can someonehelp me again lol

Answers

Answer:

The answer is A and B.

Step-by-step explanation:

54 and 89 are correct answers.
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There are 820 people at a stadium.65% of them are adults,20% of them are boys,and the rest are girls. How many girls are there at the stadium?

Answers

100% - 65% - 20% = 15% girls.

15% = 0.15

820 * 0.15 = 123 girls

There are 3 cans that store 9 tennis balls. Consider the number of balls per can a.find the constant of proportionality for this situationb.Write an equation to represent the relationship

Answers

Answer:

Write an equation that will model the proportional relationship given in each real world situation.

1. There are 3 cans that store 9 tennis balls. Consider the number of balls per can.

a. Find the constant of proportionality for this situation.

9 balls (B)

_________ = 3

3 cans (C)

b. Write an equation to represent the relationship.

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