MATHEMATICS HIGH SCHOOL

find the equation of the line passing through the point (-4,1) and the perpendicular to the line y=1/3x+4

Answers

Answer 1

Answer:

Answer:

The answer is

$y = - 3x - 11$

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

$y = (1)/(3) x + 4$

Comparing it with the general equation above

Slope / m = 1/3

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of perpendicular line = - 3

Equation of the line using point (-4 , 1) and slope - 3 is

$y - 1 = - 3(x + 4) \n y - 1 = - 3x - 12 \n y = - 3x - 12 + 1$

We have the final answer as

y = - 3x - 11

Hope this helps you

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A quadrilateral hasno pairs of parallel
sides. What two
Shapes could it be?
(Not trapezium/trapezoid
kite, rhombus)

Answers

Answer:

parallelism

Step-by-step explanation:

I'm just looking also the answer!

What's the next number?
7594, 3649, 9253, ......

Answers

7594 - 3649 = 3945
I subtracted 3945
9253 - 3649 = 5604
I subtracted 5604
Together I added 5604 from the second to the third number
So now the pattern is to subtract
3945
and then add
5604
7594⇒3649⇒9253⇒5308
I did that by doing: 9253-3945
Hope this helps

7594 - 3649 = 3945

So, from the first number to the second number we are subtracting 3945.

9253 - 3649 = 5604

So, from the second number to the third number we are adding 5604.

Now, from the third to the fourth number we should subtract 3945. And them from the fourth to the five number we should add 5604. And so on.

7594, 3649, 9253, 5308, 10912, 6967, 12571, ...

What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0 y =-2/3 -x y =-3/2x y = 3/2x

Answers

Since the line in question is parallel to the line with the equation 3x+2y-6=0, it can be said that they have the same slope. To find the slope of the line with the given equation, transform the given equation to its corresponding slope-intercept form. Hence, the equation is now

y=(-3/2)x+3

the slope is then -3/2

and since the line in question passes through the origin, the equation of this line is then

y=(-3/2)x+0
or simply
y=(-3/2)x

Answer:

y=(-3/2)x

Step-by-step explanation:

Write a multiplication equation and a division equation that can be used to answer how many 3/4's are in 2

Answers

Given:

Two numbers $(3)/(4)$ and 2.

To find:

How many $(3)/(4)'s$ are in 2.

Solution:

Let x be number of $(3)/(4)'s$ in 2.

$(3)/(4)* x=2$

Divide both sides by $(3)/(4)$ .

$x=(2)/((3)/(4))$

$x=2* (4)/(3)$

$x=(8)/(3)$

Therefore, required multiplication equation is $(3)/(4)* x=2$ and the required division equation is $x=(2)/((3)/(4))$ .

16x ^ 2 - 8xy + y ^ 2

Answers

Answer:

(4x-y)^2

Step-by-step explanation:

16x^2 - 8xy + y^2 = (4x)^2 - 2*4x*y + (y)^2 the square of the difference

= (4x-y)^2

The cost of a basket containing apples is $48. Let x represent the number of apples in the basket. Which expression represents the cost of each apple in dollars?

Answers

Answer:

48/x

Step-by-step explanation:

x(a)=$48

x=number of apples in the basket.

a=amount of apples

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