Answer:
Step-by-step explanation:
Given
x - 
= 9 ← square both sides
(x - )² = 9²
x² - 2 + 
= 81 ( add 2 to both sides )
x² + = 83
Now
(x + )² = x² + + 2, thus
x² + = 83 + 2 = 85
(x + )²= 85 ( take the square root of both sides)
x + =
The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>The relationship between the trigonometric ratios</h3>
The given parameters are:
- Scale factor of dilation, k = 2
- cos(X) = 2.5/5/59
Since the transformation is a dilation, it means that both triangles are similar.
So, we have:
cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>The segments AC and AB. </h3>
In (a), we have:
Both triangles are similar.
This means that the corresponding points are:
X and A
Y and C
Z and B
So, we have:
AC = 2 * XY
AB = 2 * XZ
Read more about dilation at:
brainly.com/question/13176891
#SPJ1
Answer:
Step-by-step explanation:
1).b). 2x - 3y > 5
For (2, 1),
2(2) - 3(1) > 5
1 > 5
False.
So the answer is NO.
c). For (6, 2),
2(6) - 3(2) > 5
12 - 6 > 5
6 > 5
True.
Therefore, the answer is YES.
2). a). 3y + x ≤ 12
For (3, -2),
3(-2) + 3 ≤ 12
-6 + 3 ≤ 12
-3 ≤ 12
True.
Therefore, answer is YES.
b). For (4, 6),
3(6) + 4 ≤ 12
18 + 4 ≤ 12
22 ≤ 12
False.
Therefore, answer is NO.
c). For (-1, -2),
3(-2) + (-1) ≤ 12
-6 - 1 ≤ 12
-7 ≤ 12
True.
Therefore, answer is YES.
3). a). y < 3x - 15
For (5, -3),
-3 < 3(5) - 15
-3 < 0
True.
Therefore, answer is YES.
b). For (7, 5),
5 < 3(7) - 5
5 < 21 - 5
5 < 16
True.
Therefore, answer is YES.
c). For (3, -5),
-5 < 3(3) - 5
-5 < 9 - 5
-5 < 4
True.
Therefore, answer is YES.
Answer:
Total distance covered each week is 
Step-by-step explanation:
Given
Days = 5 days
Distance = 
miles
Required
Determine the total distance covered in a week
To do this, we simply multiply distance by number of days.
Convert to improper fraction
Hence, the total distance covered each week is
Since (-)(-) = (+), we'll add;
74 + 12 = 86
so 86 is your final answer.
