Answer:
Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1 (-1) / (3/2) = (-2/3)
Step-by-step explanation:
Parallel lines have the same slope
Perpendicular lines have negative reciprocal slopes
line 1: 6x - 4y = 2
line 1: 4y = 6x - 2
line 1: y = (3/2)x - 0.5
line 2: y = (-2/3)x - 6
line 3:3y = -2x + 4
line 3: y = (-2/3)x + 4/3
Answer:
T' 
Step-by-step explanation:
See the diagram attached.
This is a unit circle having a radius (r) = 1 unit.
So, the length of the circumference of the circle will be 2πr = 2π units.
Now, the point on the circle at a distance of x along the arc from P is T
.
Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T' , where, T' is the image of point T, when reflected over the x-axis. (Answer)
Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:
- Segment BC.
- Segment CD.
<h3>What is a circle?</h3>
A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
<h3>The equation of a circle.</h3>
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
- h and k represents the coordinates at the center.
- r represents the radius of a circle.
<h3>What is a line segment?</h3>
A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:
- Segment BC.
- Segment CD.
Read more on line segment here: brainly.com/question/18315903
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The correct answer is d=45 :)
Answer: X=7
Step-by-step explanation:Let's solve your equation step-by-step.
3x+8−x=4−2x+32
Step 1: Simplify both sides of the equation.
3x+8−x=4−2x+32
3x+8+−x=4+−2x+32
(3x+−x)+(8)=(−2x)+(4+32)(Combine Like Terms)
2x+8=−2x+36
2x+8=−2x+36
Step 2: Add 2x to both sides.
2x+8+2x=−2x+36+2x
4x+8=36
Step 3: Subtract 8 from both sides.
4x+8−8=36−8
4x=28
Step 4: Divide both sides by 4.
4x
=28
4x/4=x 28/4
=
28
/4=7
