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aliina [53]
3 years ago
7

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

<em>The equation of the straight line in point - slope form</em>

<em>y +1 = -2 ( x-2)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are C( 2,-1) and D(1,1)

Slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2

   m = -2

<u>Step(ii):-</u>

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

<u><em>Final answer:-</em></u>

<em>The equation of the straight line</em>

<em>y +1 = -2 ( x-2)</em>

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Bogdan [553]

Answer:

Step-by-step explanation:

Angle ADC and angle CDJ are complementary.  That means that they add up to equal 90 degrees.  Therefore,

4x + 3x - 8 = 90 and

7x = 98 so

x = 14

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3(14) - 8 = 34

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5 0
4 years ago
Can someone help? Please!
DerKrebs [107]
We can use the Pythagorean Theorem (a^2+b^2=c^2) to find the side lengths.

15^2=12^2+x^2
225=144+x
81=x
Which gives us that x=9 (you have to remember to find the square root)
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Perimeter = 42

As for the area, we just multiply 9 by 12 to get us 108
Area = 108

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5 0
4 years ago
By how much is 3 4/5 greater than the product of 3/5 x 1 3/4
dalvyx [7]

Answer: 6.65

Step-by-step explanation:

3 4/5 = 3.8

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7 0
3 years ago
What is the first quartile of the set of data shown below?
MatroZZZ [7]
The answer is B because it is the middle of 16 and 24
3 0
4 years ago
Rework problem 7 from section 3.4 of your text, involving the selection of a colored ball from one of three bowls. Assume that y
allochka39001 [22]

Answer:

  • Question (1): 1/2 = 0.5

  • Question (2): 1/6 ≈ 0. 17

Explanation:

<u>1. Arrange the information of the balls contained in the bowls in a table:</u>

                       Bowl X      Bowl Y       Bowl Z     Total

Red balls              2               2                1               5

White balls           2                1                3              6

Blue balls             3                1                2              6

                           ==============================

Totals                     7                4              6             17  

<u>2. To answer each question use the basic definition of probabilities</u>

  • Probability = # of favorable events / # of possible events

<u>3. Question (1) If the ball is blue, what is the probability that it was drawn from bowl X? </u>

<u />

  • Number of total blue balls: 6
  • Number of blue balls in the bowl X: 3
  • Probability that a ball that is blue was drawn from the bowl X: P (b/X)

       P (b/X) = number of blue balls in the bowl X / total number of blue balls = 3 / 6 = 1/2 = 0.5

       

<u>4. Question (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?</u>

  • Number of total blue and white balls: 6 + 6 = 12
  • Number of blue balls and white balls in the bowl Y: 1 + 1 = 2
  • Probability that a ball that is either blue or white was drawn from the bowl Y: P (b or w / Y)

       P (b or w /Y) = number of blue balls and white balls in the bowl Y / total number of blue balls and white balls = 2 / 12 = 1/6 ≈ 0.17

4 0
4 years ago
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