Determine the equation that best represents the line shown on the graph.

In triangle abc what is the value of cos b A 5/13 B 12/13 C 5/12 D 13/12

Mumz [18]

Answer:

$\boxed{Option \ B}$

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = $\frac{Adjacent}{Hypotenuse}$

Cos B = 12/13

If the triangle is just like in the attached file!

5 0

3 years ago

Write the equation of the line parallel or perpendicular to the given line that passes through the given point. Give your answer

Archy [21]

Answer:

y +5 = (-4/5)(x +3) y = (-4/5)x -37/5
y -1 = -3(x -4) y = -3x +13

Step-by-step explanation:

1. It is convenient to start with point-slope form, then simplify the result to slope-intercept form. The two forms of the equation for a line are ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

y = mx +b . . . . . . . . line with slope m and y-intercept b

The given lines are in slope-intercept form, so we can read the slope directly from the equation.

The slope of the parallel line will be the same as the slope of the given line: -4/5.

point-slope form: y +5 = (-4/5)(x +3)

slope-intercept form: y = (-4/5)x -37/5

__

2. The slope of the given line is 1/3. The slope of the perpendicular line is the negative reciprocal of that: -1/(1/3) = -3. Your lines are then ...

point-slope form: y -1 = -3(x -4)

slope-intercept form: y = -3x +13

7 0

3 years ago

Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much?

quester [9]

24 bottles @ $3 = 8 bottles per dollar
12.5 cents per bottle

36 bottles @ $4 = 9 bottles per dollar
11.1 cents per bottle

6 0

4 years ago

Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).

Natalija [7]

Answer:

9a^4 b^10(2 +3a^6 b^5) (2 -3a^6 b^5)

see work below

Step-by-step explanation:

36a^4b^10 - 81a^16b^20

A) find the GCF

36a^4b^10 = 4*9 a^4b^10 = 2*2*3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

81a^16b^20= 9*9a^16b^20= 3*3*3*3* a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a *b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b

The terms that appear in both terms is the GCF. The terms that remain are inside the parentheses.

The GCF is 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

36a^4b^10 - 81a^16b^20 = 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b *

( 2*2 - 3*3a*a*a*a*a*a*a*a*a*a*a*a b*b*b*b*b*b*b*b*b*b)

Combining like terms

36a^4b^10 - 81a^16b^20 = 9a^4b^10(4-9a^12b^10)

The expression inside the parenthesis can be factored using the difference of squares

let x^2 =4 x =2

y^2 = 9a^12 b^10 y = 3a^6b^5

(x^2 -y^2) = (x+y)(x-y)

9a^4b^10(4-9a^12b^10) = 9a^4b^10 ( 2+3a^6b^5) ( 2-3a^6b^5)

b) difference of squares a^2 – b^2 = (a + b)(a – b)

let a^2 = 36a^4b^10

so a = 6a^2b^5

b^2 = 81a^16b^20

b = 9a^8 b^10

a^2 – b^2 = (a + b)(a – b)

36a^4b^10 - 81a^16b^20 = (6a^2b^5 +9a^8 b^10) (6a^2b^5 -9a^8 b^10)

We can factor a 3 a^2 b^5 out of the first term

3 a^2 b^5 (2 +3a^6 b^5) (6a^2b^5 -9a^8 b^10)

3 a^2 b^5 (2 +3a^6 b^5) 3 a^2 b^5 (2 -3a^6 b^5)

Multiply the terms outside the parentheses together

9a^4 b^10(2 +3a^6 b^5) (2 -3a^6 b^5)

4 0

3 years ago

Read 2 more answers

calculate the distance between the points A=(-9, 5) and B=(-2, 1) in the coordinate plane. Round your answer to the nearest hund

dem82 [27]

Answer:

8.06

Step-by-step explanation:

Use Pythagorean theorem to determine the hypotenuse

3 0

3 years ago