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Strike441 [17]
3 years ago
12

What is the distance between the point (−10, −2) and the point (−4, −2)?

Mathematics
2 answers:
Wittaler [7]3 years ago
6 0

Answer:

The distance between the point (−10, −2) and the point (−4, −2) is 6 units .

Step-by-step explanation:

Formula

Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

As given

The distance between the point (−10, −2) and the point (−4, −2) .

Distance\ formula = \sqrt{(-4-(-10))^{2}+(-2-(-2))^{2}}

Distance\ formula = \sqrt{(-4+10)^{2}+(-2+2)^{2}}

Distance\ formula = \sqrt{(6)^{2}+(0)^{2}}

Distance\ formula = \sqrt{36}

\sqrt{36}=6

Distance\ formula =6\ units

Therefore the distance between the point (−10, −2) and the point (−4, −2) is 6 units .

Reika [66]3 years ago
3 0
6

sorry it's late but hopefully it can help someone else

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A road is inclined to the horizontal at an angle of 12°30'. For every 70 feet of roadway, how much does the road actually rise?
Evgesh-ka [11]

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15.3 ft is right..................

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3 years ago
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In a certain triangle the longest side is twice as long as the shortest side and the shortest side is 4 inches shorter than midd
rodikova [14]

Answer:

24 inches

Step-by-step explanation:

Let the longest side be x, the middle side be y and the shortest side be z

Rest is in the attached file

5 0
3 years ago
A poll shows that 41% of voters in a city favor of a $0.0.1 tax increase. If 25 voters are selected at random, what is that exac
juin [17]

Answer:

The probability is 0.026 to 3 d.p

Step-by-step explanation:

To calculate this , we shall be using the Bernoulli approximation.

let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41

q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59

Now we want to calculate that exactly 15 out of 25 will vote in favor

Mathematically that would be ;

25C15 p^15 q^10

= 25C15 0.41^15 0.59^10

= 0.025981307443 or simply 0.026 to 3 decimal places

5 0
3 years ago
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?​
timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-3, 14)

Point (-1, 16)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{16-14}{-1+3}
  2. Subtract/Add:               m=\frac{12}{2}
  3. Divide:                           m=6

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = 6x + b
  2. Substitute:              16 = 6(-1) + b
  3. Multiply:                  16 = -6 + b
  4. Isolate <em>b</em>:                 22 = b
  5. Rewrite:                   b = 22

<u>Step 4: Write linear equation</u>

y = 6x + 22

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3 years ago
5<br> What is the value of 58 ? (1 point)
GaryK [48]

Answer:

1/25

Step-by-step explanation:

3 0
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