Answer:
B
Step-by-step explanation:
Let's create an equation in point-slope form, which is:
, where
is the point and m is the slope.
Here, our point is (-2, 7) and our slope is m = -5 so plug these in:


Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:
2 - 7 = -5(a + 2)
-5 = -5(a + 2)
Divide by -5:
1 = a + 2
Subtract 2 from both sides:
a = -1
Thus, the answer is B.
Hope this helps!
Answer:
D. $39,706.20
Step-by-step explanation:
In this problem, you are subtracting 14%. A way you could do this is buy finding 14% of $46,170.00, then subtracting that from itself. Or instead, you could find 86%. This works because its like your subtracting 14% from the whole 100%. so 100 - 14 = 86.
Method 1:
$46,170.00 x 0.14 = 6463.8
$46,170.00 - 6463.8 = 39706.2
Method 2:
100 - 14 = 86
$46,170.00 x 0.86 = 39706.2
either way the answer is still correct. i hope this make sense and that it helps you!
Answer:

Step-by-step explanation:
Given
sinΘ =
= 
Then the hypotenuse = 5 and one leg of the right triangle is 3
Using Pythagoras' identity to find the second leg (x)
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ⇒ x = 4
cosΘ =
= 