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nordsb [41]
3 years ago
6

Enter a digit in each box to complete the division problem.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

Step-by-step explanation:

2527 is the first line so 5 in the box

then 47 so a 4 in that box

top answer row

315 E7 so a 5 in that box.

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Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =
Nat2105 [25]

Given :

Three points ,  P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .

To Find :

The length of sides .

Given :

We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}

Length of PQ :

PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3

Length of QR :

QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5} :

Length of RP :

RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6

Hence , this is the required solution .

4 0
3 years ago
A car's velocity is modeled by
Igoryamba

In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.

<h3>When does the car stop?</h3>

Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:

0.5 · t² - 10.5 · t + 45 = 0

t² - 21 · t + 90 = 0

By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.

To learn more on quadratic equations: brainly.com/question/2263981

#SPJ1

8 0
2 years ago
Population of Summerville is currently 20 hundred people. Write a formula if It grows at a constant rate of 1.5 hundred people p
Talja [164]

Answer:

The answer is 30 I just did this

Step-by-step explanation:

Follow me and thank me plz

5 0
3 years ago
7x-3 = 5x+ 15
Degger [83]

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

2x = 18                (next, add the constants to result up to 18)

x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)

6 0
3 years ago
RS = 3x + 17, MN = 7x - 15
Fofino [41]

Answer:

Step-by-step explanation:

RS ≡ MN

 3x + 17 = 7x - 15

- 3x          - 3x

         17 = 4x - 15

      + 15        + 15

         32 = 4x

          4      4

           8 = w

3 0
3 years ago
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