Answer:
The y-intercept is at the point (0, 9).
Step-by-step explanation:
WE have the y intercept when x = 0:
-7(0) - 5y = -45
-5y = -45
y = -45/-5 = 9.
Answer:

Step-by-step explanation:
Hi there!

Solve -2^2:

Divide both sides by -4:

Subtract 10 from both sides:

Divide both sides by -5:

Therefore, x = 7.
I hope this helps!
E. Line.......! <---------->
Answer:
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = 
∴ sin∠B =
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) =
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x = 
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
Refer to the figure shown below.
The feasible region that satisfies all the constraints is the shaded region.
The bounding vertices are
A (0, 3)
B (0, 0)
C (5, 0)
D (1.5, 3.5)
All the functions that define the constraints are either linear or constant.
The maximum value is at vertex D, and equal to 3.5.