Answer:
One
Step-by-step explanation:
14/sin(54) = 7/sinC
sinC = 0.4045084972
C = 23.86, 156.14
Since 156.14+54 = 210.14 > 180
Only one triangle can be formed with angle 23.86° at C
Answer:
a. 10 inches
b. 8 inches
c. 
Step-by-step explanation:
a. At side 0, perimeter is 0*4 = 0 in. At side 2.5 inches, perimeter = 2.5*4 = 10 inches, a change of 10 - 0 = 10 inches
b. At side 1, perimeter is 1*4 = 4 inches. At side 3 inches, perimeter = 3*4 = 12 inches, a change of 12 - 4 = 8 inches.
c. We can express the change in the square's perimeter P in terms of the change in the square's side length s as

Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
For this case we must complete squares:

We add the square of half the coefficient of the term "x",
on both sides of the equation:

According to the perfect square trinomial we have:

Rewriting the expression we have:

ANswer:

Answer:
I need to see the rest of the choices to be able to make a valid decision.
Step-by-step explanation:
I will update this as soon you edit the question