<u>Answer:</u>
W (-1, 4) ---> W' (-4, -1)
X (-1, 2) ---> X' (-2, -1)
Y (2, 2) ---> Y' (-2, 2)
Z (2, 4) ---> Z' (-4, 2)
<u>Step-by-step explanation:</u>
We have with a rectangular figure WXYZ and we are to find the coordinates of its vertices W'X'Y'Z' after the transformation of 90° rotation.
We know that, the rule for 90° rotation of a point (x, y) gives (-y, x).
So,
W (-1, 4) ---> W' (-4, -1)
X (-1, 2) ---> X' (-2, -1)
Y (2, 2) ---> Y' (-2, 2)
Z (2, 4) ---> Z' (-4, 2)
If -5 is a root then f(x) is divisible by x + 5
The quotient from this division is 3x^2 -20x +12
Factoring this:-
= 3x^2 - 18x - 2x + 12
= 3x(x - 6) - 2(x - 6)
= (3x - 2)(x - 6)
So 2 more roots are 2/3 and 6
All the roots are -5 , 2/3 and 6. Answer
<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
Answer:
<h2>x > -5</h2>
Step-by-step explanation:
-5(x + 7) < -10 <em>use the distributive property </em><em>a(b + c) = ab + ac</em>
(-5)(x) + (-5)(7) < -10
-5x - 35 < -10 <em>add 35 to both sides</em>
-5x < 25 <em>change the signs</em>
5x > - 25 <em>divide both sides by 5</em>
x > -5
Answer:
Step-by-step explanation:
1.
(a) n ≤ 21
(b) n ≥ 5
(c) n > 3/5
2.
(d) n < 14
(e) n ≥ 14
