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tresset_1 [31]
3 years ago
13

What number line can be used to find the distance between (4, -1) and (8, -1)

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer:

No.1

Step-by-step explanation:

The first one can be used to find distance between (4,-1) and (8,-1)

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What’s the solution?
Licemer1 [7]

Answer:

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3 0
2 years ago
1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?
Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 =  \frac{D_1 \ - \ 2}{2}  \ \ ----(1)\\\\-7 =  \frac{D_2 -10}{2}  \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)

Therefore, the coordinate of D = (-4, -4)

6 0
2 years ago
A worker gers paid $7.05 per hpur how much does he get paid per mintues​
coldgirl [10]

Answer:

$.118 per hour

Step-by-step explanation:

If there are 60 minutes in an hour, you simply divide the per hour rate by 60

(7.05/60) = .1175

7 0
3 years ago
Identify the graph of the following equation.<br><br> x &lt; -3
yKpoI14uk [10]

Answer:

The 1st Graph (A)

Step-by-step explanation:

Test by substituting values for "x":

<em>By substituting the numbers of 0</em> (0 < -3), <em>-1 </em>(-1 < -3), <em>and -2</em> (-2 < -3), <em>does that make the statement true</em>?

The answer is FALSE. None of those values are satisfactory.

---

<em>Therefore, by substituting</em> <em>-4</em> (-4 < -3), <em>-5</em> (-5 < -3), <em>and -6</em> (-6 < -3), <em>these values are satisfactory and makes the statement true</em>.

5 0
3 years ago
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