MATHEMATICS MIDDLE SCHOOL

What is an equation of the line that is perpendicular to y-3 =-4(x+2)​

Answers

Answer 1
Answer:

Answer:

y - 3 = (1)/(4)(x+2) or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

y-y_1=m(x-x_1)\ny-3=(1)/(4)(x+2)

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.
Answer 2
Answer:

Answer:

y=(1)/(4) x+c   where c can be any number.

Step-by-step explanation:

First we need to clear for y:

y-3 =-4(x+2)\ny=-4(x+2)+3\ny=-4x-8+3\ny=-4x-5

and now we have an equation of the form:

y=mx+b

where m is the slope and b is the y-intercept.

in this case m=-4 and b=-5

to find and equation perpendicular to this line, the following must be true:m*m_(1)=-1

where m is the slope of the original line that i just mentioned, and m_(1) is the slope of the new line. Substituting m=-4

-4*m_(1)=-1

clearing for m_(1)

m_(1)=(-1)/(-4) \nm_(1)=(1)/(4)

thus, the new perpendicular line must have the form:

y=m_(1)x+c\ny=(1)/(4)x+c

where the y-intecept c can be any number, some examples are:

y=(1)/(4)x+3\ny=(1)/(4)x-8

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation m*m_(1)=-1.

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An 8.5 centimeter green bean pod contains peas that average 0.45 centimeter in diameter. How many peas are in the pod?

Answers

Answer:

18 peas

Step-by-step explanation:

The length of a green bean pod = 8.5 centimeters

Pod contains peas that average in diameter = 0.45 centimeters.

Now we have to calculate the number of peas contains in the pod.

Therefore, we will divide the diameter of peas to the length of the pod.

= \frac{\text{length of been pod}}{\text{Diameter of peas}}

= (8.5)/(0.45)

= 18.89 ≈ 18 peas

Therefore,A green bean pod contains 18 peas.
8.5 / 0.45 = 18.89.....and since u cant have 0.89 of a pea, ur answer would be 18 peas.

How many 16ths are in 15/16

Answers

none because 15 is smaller than 16 and 16 is the biggest

Draw a quadrilateral with 4 square corners and opposite sides the same length.What is the name of this quadrilateral?

Answers

that is a rectangle.
Rectangle.. It is! Well the question to the answer s a rectangle!

How to simplify 28/168
Clueless

Answers

28/168
14/84
7/42
1/6
i usually divide them by 2 till i get a odd number
7 goes into 42 6 times so its 1/6

Lenear programming equation

Answers

Answer: Its where the variable functions matches an output, for example *(modelvariable)=(output((x))

Step-by-step explanation:

Answer:

Linear programming

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Step-by-step explanation:

if you draw a triangle and draw a circle in the middle and shade the rest how do you find the area of the shaded part?

Answers

ok so the way is find the area of the triangle
find the area of the circle
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