2 A geometry teacher distributes sheets of construction paper to her class

To describe a sequence of transformations that maps triangle ABC onto triangle a"b"c", a student starts with a reflection over t

Paha777 [63]

i dont quite get the question but...

i guess this is how it is.

Take the mirror image of∆ABC Through the a line through the point y=3.

The new ∆ABC would have point C=(4,2)

B=(3,-6) A=(1,-3)

Now shifting the ∆ABC one unit (i.e. 2 acc. to the graph as scale is 1 unit =2) towards right ( or adding 2 to the x coordinates of ∆ABC)

We get the Coordinates of triangle ABC as A=(3,-3) B=(5,-6) C=(6,2).

This coordinate is the same coordinates of ∆A"B"C".

Hope it helps...

Regards;

Leukonov/Olegion.

8 0

3 years ago

Let u=ln x and v= ln y. Write ln(square root x times y^2)

Alex Ar [27]

0.5u + 2v. This is because u can separate the logs to ln(sqrx) + ln(y^2) and use basic log principles to get 0.5lnx +2lny. Then u substitute

6 0

3 years ago

On. If your car gets 30 miles per gallon, find the co

adelina 88 [10]

C. $34.50. A car gets 30 miles per gallon, if the gasoline cost $1.15 per gallon, a 900 miles trip will cost $34.50

This exercise can be solved by simply arithmetic.

Divide the total miles by the miles per gallon:

900/30 = 30

Then, multiply this value by the cost per gallon:

30 x $1.15 = $34.50

4 0

3 years ago

Read 2 more answers

Simplify the measurement using fractions. 10 inches is what part of a foot?

trasher [3.6K]

5/6, its 10/12, so just divide by two to simplify.

7 0

3 years ago

1. Explain the difference between circumscribed angles and inscribed angles in relationship to a circle.

SSSSS [86.1K]

9514 1404 393

Explanation:

1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.

If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)

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2. The general form of the equation of a circle is ...

Ax² +Ay² +Dx +Ey +F = 0

Any equation of a circle can be put in this form. If we divide by A, this can be written as ...

x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A

and the equation can be further transformed to the standard form ...

(x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c

The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.

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3. Again refer to the attached diagram.

a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.

b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.

c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.

d) A secant is a line containing two points of the circle. Lines CG and CE are secants.

e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.

f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).

7 0

3 years ago