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Maksim231197 [3]
3 years ago
13

Point M is the midpoint of segment AB. If AM = 50 – 3x and MB = –20 + 4x, find the value of AM

Mathematics
2 answers:
Yuri [45]3 years ago
6 0

Answer:  The length of AM is 20 units.

Step-by-step explanation:  We are given that the point M is the midpoint of segment AB, where

AM = 50 – 3x    and    MB = –20 + 4x.

We are to find the length of AM.

Since M is the midpoint of the segment AB, so we must have

AM=MB\\\\\Rightarrow 50-3x=-20+4x\\\\\Rightarrow 4x+3x=50+20\\\\\Rightarrow 7x=70\\\\\Rightarrow x=\dfrac{70}{7}\\\\\Rightarrow x=10.

Therefore, the value of AM is calculated as follows :

AM=50-3x=50-3\times10=50-30=20.

Thus, the length of AM is 20 units.

love history [14]3 years ago
4 0
The answer to your question is 20
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The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

<em><u>The length is twice the width</u></em>

So if we call our width <em>x</em>, that means that our length is 2 times <em>x</em> or 2x

Width of the rectangle ⇒ <em>x</em>

Length of the rectangle ⇒ <em>2x</em>

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths <em>x</em> and our lengths <em>2x</em>.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

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So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that <em>x = 10</em>.

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8 0
3 years ago
Write the equation 2x - 3y = 6 in slope-intercept form. User: Write the equation for 5x + 2y = 3 in slope-intercept form.
evablogger [386]
Slope intercept form is: y=mx+b

So you take the first equation: 2x-3y=6 and you subtract the 2x from both sides and get: -3y= 2x+6

Then you take that equation: -3y= 2x+6 and divide -3 from both sides and get: y= -2/3x -2

So the equation 2x-3y=6 in slope intercept from is
y = -2/3x -2


Can you do the next one your self based on the one i did...?

(Scroll and check ⬇️ )


























Here ya go ;)

5x + 2y = 3 okay same steps as above you want to get the x on the other side so you subtract the 5x from both sides and get:

2y = 5x + 3

Then you want to get the y by its self so you divide the 2 from both sides so you get:

y = 5/2x +2/3

Now idk if your allowed to leave it like that (based on your teacher's preferance really) but if not you can simplfy your fractions and get:

y = 2.5x + 0.66

( i would leave the 2/3 and just leave it as y = 2.5x + 2/3 ) but you do you and i hope that helped you :)
7 0
3 years ago
Solve the equation -20=-4x-6x​
asambeis [7]

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8 0
3 years ago
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Vinil7 [7]

I can't type it I have to solve on a paper for you

5 0
3 years ago
For most people the ratio of the length of their head to their total height is 1:7 use proportions to test your measurements and
alexandr1967 [171]
The correct answer for this question is this one: 5 / 7


<span>There exists the same question from other source that has the continuation of the problem. <em>Use proportions to test your measurements and see if they match this ratio. Height is 5ft</em>

So this how to solve this:

Set the equation as:
7x = 5
x = 5 / 7</span>
7 0
3 years ago
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