Answer:
42.6 degrees
Step-by-step explanation:
A supplementary angle is one that adds to the other one so the sum is 180 degrees. So 180-137.4=42.6
Answer:
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept, so we can already conclude that b=-1.
This results in y = mx - 1
We also have the x-intercept, and we know that the y-coordinate of an x-intercept is always 0. This means that we have the point (4,0). Substitute this into the formula to generate m:
0 = 4m - 1
4m = 1
m = 1/4
thus y = 
x - 1
At point of intersection the two equations are equal,
hence, 6x³ =6x²
6x³-6x²=0
6x²(x-1)=0 , the values of x are 0 and 1
The points of intersection are therefore, (0,0) and (1,6)
To find the slopes of the tangents at the points of intersection we find dy/dx
for curve 1, dy/dx=12x, and the other curve dy/dx=18x²
At x=0, dy/dx=12x =0, dy/dx=18x² = 0, hence the angle between the tangents is 0, because the tangents to the two curves have the same slope which is 0 and pass the same point (0,0) origin.
At x=1, dy/dx =12x = 12, dy/dx= 18x² =18, Hence the angle between the two tangents will be given by arctan 18 -arctan 12
= 86.8202 - 85.2364 ≈ 1.5838, because the slope of the lines is equal to tan α where α is the angle of inclination of the line.
Answer:
C 9s-8t
Step-by-step explanation:
A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear expression can have one or more variables.
1. It is important to go through each of the words given in the question to get through to the actual answer. The function will be:
y= (4 * x) - 5
= 4x - 5
2. The function of this statement will be
(h/3) + 2.5 = w
1. Let us assume the price of a pizza = p
From the first part we can write
p = $6.95
On adding the price of each topping "t" we get
p = $6.95 + ($0.95) * t
= <span>$6.95 + $0.95t</span>
I hope it helps you.
