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2 years ago

P is the midpoint of DE, DP=3x+2, and DE=10x−12. What is the length of DP?

Mathematics

2 answers:

egoroff_w [7]2 years ago

7 0

Answer:

14 units

Step-by-step explanation:

done the topic

g100num [7]2 years ago

3 0

Notice the picture
we know DE, or the whole segment is 10x-12
and P is the midpoint
so.. the point P is cutting DE in two equal halves,
namely, DP and PE
so... whatever 10x-12 is, DP is half of that
thus
$\bf DP=\cfrac{DE}{2}\implies 3x+2=\cfrac{10x-12}{2}$

solve for "x",

how long is DP? well, once you get "x", plug it in 3x+2,
that's how long DP is :)

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jasenka [17]

Answer: the answer is 19.6

Step-by-step explanation:

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2 years ago

Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.

ale4655 [162]

Answer:

Step-by-step explanation:

Let's find the slope of both lines and then compare these slopes:

From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.

From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.

For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.

8 0

3 years ago

Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

lord [1]

Okay, I worked it out and yes, it is a factor. Once you got x=-10, then you plug it into your formula. from there you can work it out like I did and get the answer. You can also input it into a scientific calcuator and figure it out that way. If you need any more help, go ahead and message me. Hope this helps. You can also but it into the box and divide it that way to find out. whichever way is better for you

3 0

2 years ago

Read 2 more answers

How to solve a system of equations using elimination?

Nastasia [14]

If you have a problem like:
4x+2y=20
2x+2y=16
You would subtract
4x-2y=20
-2x+2y=16
You would get the new problum
2x=4
You now want to divide the 2 on both sides to solve for x
x=2

Now that you've solved for X you want to solve for y. So use substitution to solve for y. You would want to substatute the x for the 2 in either of the problums. I'll use the first one.
4(2)+2y=20

You first want to multiply te 4(2) you would get a new problum.
8+2y=20

Now you want to subtract the 8 on both sides.
2y=12

The last step to solve for y is to divide the 2 on both sides.
Y=6

So your answers would be
x=2
y=6

5 0

3 years ago

What is the solution to this equation?

Fantom [35]

Answer:

x=-17

Step-by-step explanation:

Original Equation;

x+12=-5

The 12 will cross the equal sign so it will become -12. So it's going to be;

x=-5-12

There are two negative number so you add them and when you add them it would still be negative. And you would have to add them because when there are two negative numbers without any other sign you will have to add so it's going to be;

x=-17

This is the final answer!!!

7 0

2 years ago