All categories

3 years ago

Graph the image of △UVW after a reflection over the line y=-x

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Rule: (x, y) → (-y, -x)

This means that the x, will now become y, and the y will now become x.

U (-7, -4) → (4, 7)

V (1, -4) → (4, -1)

W (-5, -9) → (9, 5)

U' (4, 7)

V' (4, -1)

W' (9, 5)

*View the attached graph*

Yellow is the original figure
Purple is the figure after a reflection over the line y=-x

Hope this helps!

aliya0001 [1]3 years ago

4 0

Answer:

9514 1404 393

see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is. Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection: (x, y) ⇒ (-2-x, y) U(-8, -6) ⇒ U'(6, -6) V(-3, -6) ⇒ V'(1, -6) W(-4, -1) ⇒ W'(2, -1)

You might be interested in

How do I find the value of x

IgorC [24]

Answer:

The value of x is 2.6

Step-by-step explanation:

Use pythagorean theorem

a^2+b^2=c^2

Then substitute

1^2+2.4^2=c^2

Then evaluate

1+5.76=c^2

Add

c^2=6.76

Isolate c by finding the sqrt of 6.76

c=2.6

3 0

3 years ago

Read 2 more answers

Examine the quadratic equation 9x^2+12x +4= 0.

mestny [16]

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)

4 0

3 years ago

A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of

crimeas [40]

So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft

You can use this formula to count the area of semi circle : π r^2/2

A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2= 76.92 ft^2

100.48 - 76.92 = 23.55 ft^2

Then you have to divide it with the total tiles
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)

hope this helps

5 0

3 years ago

How do the constant of proportionality and slope relate to the unit rate

Pepsi [2]

Answer:

When a relationship is proportional, all y over x ratios simplify to the slope of the line which is the constant of proportionality or the unit rate, with one as a denominator. Example: Consider the equation y = 60x. The slope is 60. The rate of change is 60 units for every one unit.

Step-by-step explanation:

7 0

3 years ago

At what speed in miles per hour will a bicycle travel if the rider can cause the 26-inch diameter wheel to rotate 90 revolutions

Sati [7]

26' wheel @ 90 rpms = 2,340 inches / min (26 x 90)

2,340 inches / min = 140,400 inches / hour (2,340 x 60)

140,400 inches / hour = 11,700 feet / hour (140,400 / 12)

11,700 feet / hour = approx. 2.216 miles / hour (11,700 / 5,280)

8 0

3 years ago

Read 2 more answers