what are the coordinates of point T’, the image of point T(-2,5) after a rotation of 180 about the origin

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

Answer:

T'(2, - 5 )

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ), thus

T(- 2, 5 ) → T'(2, - 5 )

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If 2x – 1 is a factor of 16x4<br> 24x3 + 2x + f, find f.

Nastasia [14]

Answer:

f = -5

Step-by-step explanation:

If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.

If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.

2x - 1 = 0

2x = 1

x = 1/2

Hence

f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f

= 16(1/16) + 24(1/8) + 1 + f

= 1 + 3 + 1 + f

= 5+ f

f = -5

7 0

3 years ago

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Lelu [443]

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula $a^{2} +b^{2} =c^{2}$ . Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So $c^{2}$ = 2025. Find the square root of 2025. $\sqrt{2025}$ = 45. Hope this helped ^^