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Masteriza [31]
3 years ago
14

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-interce

pt form.
(-12,8), (6,2)
Mathematics
1 answer:
SashulF [63]3 years ago
8 0
Point slope form: y-8=- 1/3(x+12)

Slope intercept form: - 1/3x+4
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4 years ago
Find the value of each variable. If you give the decimal value, round to the nearest tenth.
DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2

⇒ 6^2+\text{opposite}^2=12^2

⇒ 36+\text{opposite}^2=144

⇒ \text{opposite}^2=108

⇒ \text{opposite}=6\sqrt3=10.4

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0
3 years ago
What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?
likoan [24]

Answer:

• General equation of a line:

{ \tt{y = mx + b}} \\

  • m is the slope, m = 2/5
  • b is y-intercept

{ \tt{ - 7 = ( \frac{2}{5} \times  - 4) + b }} \\  \\ { \tt{ - 7 =  -  \frac{8}{5}  + b}} \\  \\ { \tt{b =  -  \frac{27}{5} }}

• Therefore, equation of line is:

{ \tt{y =  \frac{2}{5}x -  \frac{27}{5}  }} \\

7 0
3 years ago
Read 2 more answers
The blue team walks 5 miles the first hour and 2 miles an hour after that. How far will they walk in 4 hours?
denis-greek [22]

Answer:

  11 miles

Step-by-step explanation:

After the first hour, they walk 3 more hours at 2 miles per hour. So, the total distance is ...

  5 mi + (3 h)(2 mi/h) = 5 mi + 6 mi = 11 mi

The blue team will walk 11 miles in 4 hours.

3 0
4 years ago
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the container is filled completely with cheese sauce which expression can be used to find the total number of cubic inches of ch
blagie [28]
B is the answer



the formula is :

s = \pi {r}^{2} h
which r stands for radius
and h stands for height

the diameter is 16
so the radius is
16 \div 2 = 8


hope you understand it
7 0
3 years ago
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