Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)
We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)
the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)
Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)
Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.
As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.
Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.
Here is an attached image of the same with angles marked on it.
Alternate Interior Angles: ∠
= ∠
and ∠
=∠
Alternate Exterior Angles: ∠
=∠
and ∠
=∠
Corresponding Angles: ∠
=∠
, ∠
=∠
, ∠
=∠
and ∠
=∠
Consecutive Interior Angles: ∠
=∠
and ∠
=∠
- Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
- Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.
To learn more about Transversal Line click on the link given below:
brainly.com/question/24770636
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Answer:
Step-by-step explanation:
2x to the power of 2 + x = ? When x=9
(2x)^2 + x
= 4x^2 + x
When x = 9
= 4(9)^2 + 9
= 4(81) + 9
= 324 + 9
= 333
Answer: 13/3
Step-by-step explanation: TO turn a mixed number into an improper fraction, the best way is to multiply the denominator of the fraction by the whole number, then add the product to the numerator, then use that as the numerator of your new improper fraction, keeping the denominator the same.
>2 21/9
> 9*2 +21 =39
> 39/9
>13/3
Answer:
The answer is 41
Step-by-step explanation: