Answer:
m= -2/3
Step-by-step explanation:
12-10/2-5
2/2-5
2/-3
-2/3
(x+2)^4 should be your answer
Answer:
No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in
Step-by-step explanation:
It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.
A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since
24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.
576 + 256 ≠ 900, since the left side is 832 and the right side is 900
It would be more correct if the width is 18 since 576 + 18^2 = 900
Answer:
<em>D. v equals the square root of quantity z times the sum of w plus z end quantity</em>
Step-by-step explanation:
We will use pythagoras theorem to solve this question. According to ΔABD, side AB is the hypotenuse of the triangle while AD and BD are the opposite and adjacent sides.
From ΔABD, v² = z² + y² ... 1
Also from ΔABC, side AC is the hypotenuse, AB and BC are the opposite and the adjacent side. Since AC = w+z, AB = v and AC = x, then;
AC² = AB²+BC²
(w+z)² = v²+x²
v² = (w+z)² - x² ... 2
Also, from ΔBCD, x² = y²+w²... 3
Substituting equation 3 into 2 will give;
v² = (w+z)² - x²
v² = (w+z)² - (y²+w²) ... 4
Equating 1 and 4
z²+y² = (w+z)² - (y²+w²)
z²+y² =w²+z²+2wz - (y²+w²)
z²+y² =w²+z²+2wz - y² - w²
z²+y² = z²+2wz - y²
2y² = 2wz
y² = wz ... 5
From equation 1; v² = z² + y²
substituting eqn 5 into 1;
v² = z²+wz
v = √z(w+z)
Hence the correct expression of v in words is 'v equals the square root of quantity z times the sum of w plus z end quantity'
14.88 to 12.32
14.88 : 12.32. 2 into 14.88 is 7.44, 2 into 12.32 is 6.16
7.44 : 6.16 2 into 7.44 is 3.72, 2 into 6.16 is 3.08
3.72 : 3.08 2 into 3.72 is 1.86, 2 into 3.08 is 1.54
1.86 : 1.54 2 into 1.86 is 0.93, 2 into 1.54 is 0.77
0.93 : 0.77
You can multiply both numbers by 100 to change it whole numbers.
0.93*100 : 0.77*100
93 : 77