Draw a diagram in which segment AB intersects segment CD equals segment CB
2 answers:
The <u>correct diagram</u> is attached.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.
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<h3><u>Answer:</u></h3>
- Your answer would be "30".
- 2x + 20 = 3x - 10 [Corresponding Angles]
- => 10 + 20 = 3x - 2x
- => 30 = x
Therefore, your answer would be "30".
Hoped this helped.
Answer:
<h2>y = -2x + -3</h2>Step-by-step explanation:
Slope-intercept form is y = mx + b
"m" is the slope, how steep the line is.
"b" is the y-intercept, where to graph hits the y-axis.
Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.
To find "m", use between the two dotted points on the graph. The first point is always on the left.
<u>"Rise" means how many squares above</u> the first point the second point is.
Since the second point is below the first point, the number is negative.
<u>"Run" means how many squares to the right</u> the second point is.
To find "b", look at where the graph it touching the y-axis.
The y-axis is the vertical line (going from top to bottom).
Count the number of squares from the grid's middle to the graph line.
There are 3 squares.
Since the graph touches below the origin, this is a negative number.
b = -3
In the boxes, you put negative two (-2) and negative three (-3).
* Usually we would simplify the equation to y = -2x - 3.
Answer: A: (x + 4)² + (y - 5)² = 8
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
To find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:
= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8