Answer:
the second one
Step-by-step explanation:
P = 19 + 19 + 10 + 10
P = 58
answer
P = 58 cm
Answer:
J'(-4, -1)
K'(-2, -5)
L'(2, -5)
M'(3, -1)
Step-by-step explanation:
Reflection over the line y=1 is equivalent to the transformation ...
(x, y) ⇒ (x, 2-y)
Then the transformed coordinates are ...
J(-4, 3) ⇒ J'(-4, -1)
K(-2, 7) ⇒ K'(-2, -5)
L(2, 7) ⇒ L'(2, -5)
M(3, 3) ⇒ M'(3, -1)
Answer:
x = 5.13 yards to the nearest tenth
Step-by-step explanation:
The diagram is redrawn and labelled in the attached photo.
It is labelled as triangle ABC. Angle A is determined to be 25 degrees. This is because it is alternate to 25 degrees at the top.
To find x, we will apply trigonometric ratio
Tan # =opposite side / adjacent side
Where # = 25 degrees
Opposite side = x
Adjacent side = 11
Tan 25 = x/11
x = 11tan25
x = 11× 0.4663
x = 5.1293 yards
x = 5.13 yards to the nearest tenth.
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2
