12-5x-4kx=y solve for x

We can summarize that

By applying the law of cosines: 

c² = a² + b² - 2abcos(C) 

where: 

a,b, and c represent the triangle's sides and C denotes the angle opposing side c.

Let us assign:

a=170 miles

b=200 miles

c=160 miles

Thus, we establish: 

160² = 170² + 200² - 2(170)(200)cos(C).

We now aim to solve for C.

25,600 = 28,900 + 40,000 - 68,000cos(C).

25,600 - 28,900 - 40,000 = -68,000cos(C).

-43,300=-68,000cos(C).

Thus, cos(C)=0.6367.

C=arc cos(0.6367)--------> C=50.45°.

Consequently, the captain should adjust toward island B by

180 - 50.45 = 129.55 degrees.

The final answer is

129.55 degrees

.

Answer:

Option (C)

Step-by-step explanation:

The value of y exceeds the multiplication of x by 2.

The equation that describes this condition is:

y = 2x + 1

Thus, by inserting x values into this equation, we can produce a table reflecting the corresponding input and output values:

x        0       1         2        3        4

y         1        3        5        7        9

Consequently, the table provided in Option (C) is indeed the correct choice.

Answer:

1/5

Step-by-step explanation:

Amir and Tamara each consumed 2/5 of the candy bar.

The total consumed is 2/5 + 2/5 = 4/5.

Since 4/5 of the candy bar has been eaten, 1/5 remains.

This is because 5/5 minus 4/5 equals 1/5.

(Note that 5/5 represents a whole candy bar).

Answer:

Step-by-step explanation:

Step 1

Calculate the slope of the dashed line

The slope between two points is computed with the formula:

We consider

(-3,1) and (0,3)

and substitute into it:

Step 2

Determine the equation of the dashed line in slope-intercept form:

The equation we established is:

---> associated problem

Substituting yields:

Step 3

Establish the inequality corresponding to the graph

Given that it is represented by a dashed line, the area to the left of this line is shaded.

Thus,

Refer to the attached diagram for enhanced understanding of the problem.

The equation is:
f(x) = 2x² - 44x + 185
f(x) = 2(x² - 22x + 121 - 121) + 185 =
= 2(x² - 22x + 121) - 242 + 185 =
= 2(x - 11)² - 57
Conclusion:
The vertex is located at (11, -57) and the vertex form is: f(x) = 2(x - 11)² - 57