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givi [52]
3 years ago
14

Given l(-4,3) and m(-7,-2), what's the length of lm

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
Distance = Square Root ( (X difference)^2<span> + (Y difference)^</span>2<span> )
</span>
Distance = Square Root ( (-4 --7)^2 + ( 3 --2)^2<span> )

</span>Distance = Square Root (3^2 + 5^2)

<span>Distance = Square Root (9 + 25)

Distance = </span><span>Square Root (34)

Distance = </span><span>5.8309518948

Therefore the length of lm equals </span> <span> <span> <span> 5.8309518948 </span> </span> </span>


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One of the legs of a right triangle measures 7 cm and its hypotenuse measures 12 cm.
Oksana_A [137]

Answer:

AC ≈ 9,7sm

Step-by-step explanation:

AB=7  One side of a right triangle

BC=12  Hypotenuse of a right triangle

AC=?=x  The other side of a right triangle

x²+7²=12²  

x²=144-49

x²=95

x=√(95) ≈ 9,7

AC ≈ 9,7sm

3 0
2 years ago
What is the solution of the equation f(x) = g(x) ?
dezoksy [38]
We are given the two functions f(x) = x^{-\frac{1}{2} } and g(x) =  \sqrt{x} - \frac{3}{2}. Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:
x^{-\frac{1}{2}} = \sqrt{x} - \frac{3}{2}
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!

4 0
3 years ago
Line segment CD is shown on a coordinate grid:
Jet001 [13]
A) would be your answer hope this helps. :) 
4 0
3 years ago
Read 2 more answers
How do u do this?? What’s the answer???
V125BC [204]

Answer:

A. c = 0.31b

Step-by-step explanation:

$7.44 = 24 juice bottles

[Divide by 24 on both sides]

$0.31 = 1 juice bottle

The cost is equal to the amount per juice bottle times the number of juice bottles, so:

c = 0.31b

(A trick to use when you don't know the answer: If there are multiple answers with the same numbers but the decimal places are in different places, it is probably one of those answers.)

6 0
3 years ago
Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.
MakcuM [25]

Answer:

14.32

Step-by-step explanation:

We can find the distance using the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We then substitute (-2,8) as (x_1,y_1) and (11,2) as (x_2,y_2).

d=\sqrt{(11--2)^2+(2-8)^2} \\d=\sqrt{(13)^2+(-6)^2} \\d=\sqrt{169+36}\\d=\sqrt{205}=14.32

6 0
3 years ago
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