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2 years ago

In the equation, 5x + 3y = 30, I want to find the intercepts. Which would

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

7 0

Answer:

the fourth one

Step-by-step explanation:

y-intercept is when x equals 0

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The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that t

KATRIN_1 [288]

The correct answer among the choices provided is the second option. Events A and B are dependent because P(A|B) P(B). And from conditional probability, we have P(A|B) = P(AintersectionB) / P(B).
Therefore, P (AintersectionB) is equal to P(A|B) × P(B).

6 0

3 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

Find the equation of the line passing through the points A (2,1) B (7,9)

Bezzdna [24]

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{9 - 1}{7 - 2} = \frac{8}{5} = 1\frac{3}{5}$
      y - y₁ = m(x - x₁)
       y - 1 = 1³/₅(x - 2) Point - Slope Form
       y - 1 = 1³/₅(x) - 1³/₅(2)
       y - 1 = 1³/₅x - 3¹/₅
       + 1    + 1
              y = 1³/₅x - 2¹/₅ Slope - Intercept Form
   -1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
      -1³/₅x - y = -2¹/₅
   -1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
   1³/₅x - y = 2¹/₅ Standard Form
       1³/₅(0) - y = 2¹/₅
      0 - y = 2¹/₅
      -y = 2¹/₅
      -1    -1
   y = -2¹/₅ Y - Intercept
   (x, y) = (0, -2¹/₅)

7 0

3 years ago

Expression is equivalent question

kiruha [24]

Answer:

-40+44i

Step-by-step explanation:

4(-10+11i) = -40+44i

hope its clear

7 0

2 years ago

What is the length of segment RS?

Evgesh-ka [11]

Answer:

Step-by-step explanation:

4 0

2 years ago

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