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Shalnov [3]
3 years ago
15

Find the distance between the two points. (2, 5) and (–1, –5)

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0
<span>√109</span>≈<span>10.44030650 <--- Answer

</span>Distance=<span>√<span><span><span>(<span>x2</span>−<span>x1</span>)</span>2</span>+<span><span>(<span>y2</span>−<span>y1</span>)</span><span>2

</span></span></span></span>√<span><span><span>(<span>(−1)</span>−<span>(2)</span>)</span>2</span>+<span><span>(<span>(−5)</span>−<span>(5)</span>)</span><span>2 

That check sign is the square root, since they wouldnt let me put it in...</span></span></span>
mario62 [17]3 years ago
4 0
\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ 2 &,& 5~) &#10;%  (c,d)&#10;&&(~ -1 &,& -5~)&#10;\end{array}&#10;\\\\\\&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;d=\sqrt{(-1-2)^2+(-5-5)^2}&#10;\\\\\\&#10;d=\sqrt{(-3)^2+(-10)^2}\implies  d=\sqrt{109}
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Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is gi
Vitek1552 [10]

Answer:

t=1.020s

Step-by-step explanation:

Given Equation:

5t-0.5at^{2} =0

Actually the given equation is the 2nd equation of motion

i.e. S =V_{i} t+0.5at^{2}

where S=0 because the astronaut jumps on the earth

and initial velocity V_{i}=5

to find time t, put the given value of a=9.8m/s^{2} in the given equation, we get

5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s

it will take t=1.020s to reach the ground if he jumps on the Earth

3 0
3 years ago
Can you put these number from least to greatest?
Eva8 [605]

The correct order would be:

5/64 x 3, 1/16 x 3, 3/32 x 4, 11/64 x 4, 7/16 x 3, 3/4 x 2, 3/8 x 4, 1 7/8 x 4, 2.25 x 2, 1.5 x 4, 3 3/8 x 3, 3.75 x 3

First we have to take all of the numbers and do the multiplication. It's often easiest to turn them in to decimals so that you have a common form.

3/32 x 4 = 3/8 = .375

3/4 x 2 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3/8 x 4 = 3/2 = 1.5

5/64 x 3 = 5/32 = .156

3.75 x 3 = 11.25

1/16 x 3 = 3/16 = .1875

7/16 x 3 = 21/16 = 1.31

3 3/8 x 3 = 81/8 = 10.125

11/64 x 4 = 11/16 = .687

Now we can use those to put in order.

5/64 x 3 = 5/32 = .156

1/16 x 3 = 3/16 = .1875

3/32 x 4 = 3/8 = .375

11/64 x 4 = 11/16 = .687

7/16 x 3 = 21/16 = 1.31

3/4 x 2 = 3/2 = 1.5

3/8 x 4 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3 3/8 x 3 = 81/8 = 10.125

3.75 x 3 = 11.25

Which if you are looking for without the extra terms, you can check the answer at the top.

5 0
3 years ago
Which polynomial function could be represented by the graph below?
Fantom [35]

Answer:

x2 + x – 2=4x

sorry if i give you the wrong answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
25/36 × 8/35 Give your answer as a fraction in its simplest form.
Sidana [21]

Answer:

\frac{10}{63}

Step-by-step explanation:

Hope this helps!

=)

3 0
2 years ago
Read 2 more answers
Mrs Smith is completing a mathematics problem. She knows when 6 is added to four times a number, the result is 50. What would be
Lesechka [4]

EXPLANATION:

-To formulate an equation, you must first know what data the exercise gives us to locate them correctly.

data:

-6 that must be added to a number.

-four times a number that is equal to 4x

-a result that is equal to 50

Now with these data we formulate the equation:

\begin{gathered} \text{Equation:} \\ 6+4x=50;\text{  } \end{gathered}

if we solve the equation we have:

\begin{gathered} 6\text{ }+4x=50 \\ 4x=50-6 \\ 4x=44 \\ x=\frac{44}{4} \\ x=-\frac{22}{2} \\ x=\text{ }-11 \end{gathered}

6 0
1 year ago
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