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Lyrx [107]
4 years ago
12

A line passes through (2,-7)and (-3,3).Find the slope-intercept form of the equation of the line. Then fill in the value of the

slope, m, and the value of the y-intercept, b, below.
Mathematics
1 answer:
juin [17]4 years ago
6 0

Answer:  

m = -2    

b = 16.5

Step-by-step explanation:

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Lines AB and BC intersect at point B. Ray BD bisects angle ABC. (4x-24) B (x+6) What is the value of x?
Verizon [17]

If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23

The line AB and BC are intersecting at point B.

Ray BD bisect the  angle ABC

∠ABD = x+8 degrees

∠ABD=∠DBC = x+8

Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal

∠ABD+∠DBC= 4x-30 degrees

Because both are vertically opposite angles

Substitute the values in the equation

x+8 + x+8 = 4x-30

2x+16 = 4x-30

2x-4x = -30-16

-2x = -46

x = 23

Hence, if line AB and BC are intersecting at point B and ray BD bisect  the angle ABC, then the value of x is 23

The complete question is

Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?

Learn more about angle here

brainly.com/question/28451077

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4 0
1 year ago
Write the linear equation in slope-intercept form given the following:<br> (-3, 7) and (6, -8)
Viefleur [7K]

Answer:

y = - \frac{5}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = \frac{-8-7}{6+3} = \frac{-15}{9} = - \frac{5}{3} , then

y = - \frac{5}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - \frac{5}{3} x + 2 ← equation of line

6 0
3 years ago
The temperature in a commercial freezer over four days are -2.36 F, 1.68F, -1.81F, and 0.67F what is the mean temperature of the
Nikitich [7]

Answer: -0.455F

Step-by-step explanation:

The mean temperature of the freezer over the four days will be gotten by adding the total temperature and then dividing by 4. This will be:

= (-2.36 + 1.68F + -1.81F + 0.67F) / 4

= -1.82F/4

= -0.455F

The mean temperature is -0.455F

3 0
3 years ago
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult ti
kondaur [170]

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

6 0
3 years ago
Read 2 more answers
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brain
Naddika [18.5K]

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

8 0
3 years ago
Read 2 more answers
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