3 years ago

Triangle DEF with vertices D(2, 6), E(5, 6)and F(5, 1). Write the coordinates of triangle D’E’F’ after a

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:

The coordinates of triangle after reflection over y-axis

D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Step-by-step explanation:

Explanation:-

Given that DEF with vertices D(2,6), E(5,6), and F(5,1)

Given that the triangle DEF reflection over the 'y' - axis then transformed into

( x,y) → (-x,y)

Now,

D(2,6) → D¹( -2 ,6)

E(5,6)→ E¹( -5 ,6)

F(5,1)→ F¹ (-5,1)

Final answer:-

The coordinates of triangle after reflection over y-axis

D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

You might be interested in

Flying to Kampala with a tailwind a plane averaged 158km per hr ... The the return trip the plane only averaged 112 km per . . w

AURORKA [14]

W=wind
p + w=158...p=158-w
p-w=112...p=112+w
SO 158-w=112+w
46=2w
23=w
SO in conclusion you have the correct answer of wind being 23km/h while the plane is going 135 km/h

HOPE THIS HELPS!

6 0

3 years ago

Which of the following could be the sum of exactly three consecutive even integers?

OLEGan [10]

Answer: 198 is your answer:65+66+67 = 198 Hope I helped!

Step-by-step explanation:

8 0

2 years ago

f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)

shtirl [24]

Answer:

(-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).