MATHEMATICS MIDDLE SCHOOL

The sides of a triangle are given by the equations 4x-y-7=0,x+3y-31=0 and x+5y-7=0.determine the point of intersection of its altitudesdetails: class 12,algebra,
title of chapter:
the general equations of straight lines.

Answers

Answer 1
Answer: Hello,

1)Let's call A=inter (4x-y-7=0, x+3y-31=0)
4x-y=7
x+3y=31
==>13x=52==>x=4
and y=4*4-7=9

A=(4;9)

 
2)Let's call B=inter (4x-y-7=0, x+5y-7=0)

4x-y=7
x+5y=7
==>21x=42
==>x=2 and y=4*2-7=1

B=(2,1)

3) Slope of BD: y=-x/3+31/3 ==> slope perpendicular=3

Line BD:y-1=3(x-2)==>y=3x+5

4) Slope AE: y=-x/5+7/5 ==>slope perpendicular=5
Line AE: y-9=5(x-4)==> y=5x-11

5) intersection (BD;AE):
y=5x-11
y=3x-5
==>2x=6==>x=3
and y=3*3-5=4
H=(3,4)

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Which expression is the lcd of these fractions? 9/m^4 and 1/2

Answers

least common denom
look at denoms (bottom)

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LCD is 2m^4
tada


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A flashlight is projecting onto a wall, as shown below

Answers

Answer:

n  = 30

Step-by-step explanation:

The triangles share the same angle measures, so they are similar triangles.  The side lengths of similar triangles are proportional to each other, so we can set up a proportion and solve for n...

16 is to 20 as 24 is to n

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2 3/5 - 1 3/8 estimate

Answers

2 3/5 - 1 3/8
estimate : 3 - 1 = 2

actual :
2 3/5 - 1 3/8 =
13/5 - 11/8 =
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1 9/40

first you make the denominated 40

Then you multiply the same number you used to multiply the denominator

Then subtract

What is the mean of 72,73,86,59,75,58,50,55

Answers

MEAN

Mean is the average. To find the mean of a data set, you have to add all the numbers and divide the sum by the amount of numbers you added.

In this equation, you have 8 numbers. That means you will be dividing by 8.

The first thing you need to do is add all the numbers. Add:

72+73+86+59+75+58+50+55 = \bf 528

Now that you have added all the numbers and got the sum, divide by 8. Remember that you will be dividing by 8 since you added 8 numbers.

Divide:

528 / 8 = \bf 66

The mean is 66

If you have any questions, feel free to ask in the comments! :)
The answer is 66.

Step by step explanation:
First, add all of the numbers together.
Then, divide the sum of the numbers by the number of entries you see.

Since there’s 8 numbers, you divide it by 8.

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Answers

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Answers

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