Answer:
E (3,-1) D (-2, -2) G (-1, 3) F (3, 2)
Step-by-step explanation:
90 degrees = (y, -x)
that means you take the ordered pair you want to rotate and plug the x and y into the new spots.
for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)
Answer:
<u>Option C. It is zero</u>
Step-by-step explanation:
The graph represents a quadratic equation
The quadratic equation has the form ⇒a x² + b x + c
The discriminant of the quadratic equation is D = b² - 4ac
From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.
- If D > 0 ⇒ Two real roots.
- If D = 0 ⇒ one real roots
- If D < 0 ⇒ Two imaginary roots.
The roots of the quadratic equation are the x-intercepts of the function.
As shown at the figure, the quadratic equation has only one point of intersection with the x-axis
So, the function has only one root ⇒ D = 0
So, the discriminant of the quadratic equation = 0
<u>The answer is option C. It is zero</u>
Answer:
Step-by-step explanation:
let the first angle be 5x
second be 4x
and third be 1x
as we know that by adding all the sides of triangle we get 180°
therefore ,
5x+4x+1x=180°
10x=180°
hence ,
x=18°
first angle - 18*5 = 90°
second angle - 18*4=72°
third angle - 18°
HOPE THIS HELPS YOU !!!
You don't solve a quadratic equation using completing the square
Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
----------------------------------------------------------------
(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
-----------------------------------------------------------------
(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
