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docker41 [41]
3 years ago
9

Point r and s are plotted on the coordinate plane below. What is the distance between points r and s, to the nearest tenth of a

unit?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

14.4

Step-by-step explanation:

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Help! given 2(x-9)=-10 prove x=4 with statements and reasons
Sedbober [7]

Step-by-step explanation:

<u>Proof:</u>

<em>2</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em> </em><em>when </em><em>x </em><em>=</em><em> </em><em>4</em>

<em>2</em><em> </em><em>(</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>

<em>8</em><em> </em><em>-</em><em> </em><em>1</em><em>8</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>

<em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em>..........hence proven

<u>Reasons </u>

- When you replace X with 4, you can clearly see that the equation is equal to -10.

sorry I couldn't answer accurately, but I hope this helps

8 0
3 years ago
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
48 divided by 9853 is what
Vinil7 [7]

Answer:

0.0049

Step-by-step explanation:

4 0
3 years ago
Which fraction has a value less than 7/8<br><br> A. 11/11<br> B. 6/7<br> C. 11/12<br> D. 8/9
777dan777 [17]
The answer is b because 6/7 = 48/56 and 7/8=49/56
8 0
3 years ago
(Pls help) I need help finding x!
Ray Of Light [21]

Answer:

x ≈ 46°

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x

sinx = \frac{opposite}{hypotenuse} = \frac{10}{14}, hence

x = sin^{-1} ( \frac{10}{14} ) ≈ 46°

8 0
3 years ago
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