Answer:
A. 17
Step-by-step explanation:
using the cosine rule (also see attached for reference):
AB² = BC² + AC² - 2·AC·BC cos C
2·AC·BC cos C = BC² + AC² - AB²
Given that AC = 18, AB = 12 and BC = 18, substituting these into the formula
2(18)(28) cos C = 28² + 18² - 12²
1008 cos C = 964
cos C = 964/1008
cos C = 0.9563
C = cos⁻¹ 0.9563
C = 16.99 ( = 17° rounded to nearest degree)
Answer:
The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8
The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2
You can check your answer by plugging in your answer to the variable and making sure both side equal each other
Step-by-step explanation:
The first one: the 5 should be - from both side so you get k=-8
The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2
Remember you always want to get the variables by themselves.
Sorry that was a lot. Hope it helps!
Answer:
My total savings was = $58.33
Step-by-step explanation:
Given:
12% of my savings was = $7.00
To find my total savings.
Solution:
Let the total savings in dollars be = 
12% of the total savings will be = 
12% of my savings was = $7.00
So, we have:


Solving for
to get my total savings.
Dividing both sides by 0.12

∴ 
Thus, my total savings was = $58.33
Answer:
y = -
(x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
= a , that is
a = - 
y = -
(x - 5)² + 7 ← in vertex form
Its a graph linear i believe